# A. Signer - IPPP Durham

## Publications Authored By A. Signer

In this article, a complete analysis of the three muonic lepton-flavour violating processes $\mu\to e \gamma$, $\mu\to 3e$ and coherent nuclear $\mu\to e$ conversion is performed in the framework of an effective theory with dimension six operators defined below the electroweak symmetry breaking scale $m_W$. The renormalisation-group evolution of the Wilson coefficients between $m_W$ and the experimental scale is fully taken into account at the leading order in QCD and QED, and explicit analytic and numerical evolution matrices are given. As a result, muonic decay and conversion rates are interpreted as functions of the Wilson coefficients at any scale up to $m_W$. Read More

Using the automation program GoSam, fully differential NLO corrections were obtained for the rare decay of the muon $\mu\to e\nu\bar\nu ee$. This process is an important Standard Model background to searches of the Mu3e collaboration for lepton-flavour violation, as it becomes indistinguishable from the signal $\mu\to 3e$ if the neutrinos carry little energy. With our NLO program we are able to compute the branching ratio as well as custom-tailored observables for the experiment. Read More

This note presents an analysis of lepton-flavour-violating muon decays within the framework of a low-energy effective field theory that contains higher-dimensional operators allowed by QED and QCD symmetries. The decay modes $\mu\to e \gamma$ and $\mu\to 3e$ are investigated below the electroweak symmetry-breaking scale, down to energies at which such processes occur, i.e. Read More

**Authors:**D. de Florian

^{1}, C. Grojean

^{2}, F. Maltoni

^{3}, C. Mariotti

^{4}, A. Nikitenko

^{5}, M. Pieri

^{6}, P. Savard

^{7}, M. Schumacher

^{8}, R. Tanaka

^{9}, R. Aggleton

^{10}, M. Ahmad

^{11}, B. Allanach

^{12}, C. Anastasiou

^{13}, W. Astill

^{14}, S. Badger

^{15}, M. Badziak

^{16}, J. Baglio

^{17}, E. Bagnaschi

^{18}, A. Ballestrero

^{19}, A. Banfi

^{20}, D. Barducci

^{21}, M. Beckingham

^{22}, C. Becot

^{23}, G. Bélanger

^{24}, J. Bellm

^{25}, N. Belyaev

^{26}, F. U. Bernlochner

^{27}, C. Beskidt

^{28}, A. Biekötter

^{29}, F. Bishara

^{30}, W. Bizon

^{31}, N. E. Bomark

^{32}, M. Bonvini

^{33}, S. Borowka

^{34}, V. Bortolotto

^{35}, S. Boselli

^{36}, F. J. Botella

^{37}, R. Boughezal

^{38}, G. C. Branco

^{39}, J. Brehmer

^{40}, L. Brenner

^{41}, S. Bressler

^{42}, I. Brivio

^{43}, A. Broggio

^{44}, H. Brun

^{45}, G. Buchalla

^{46}, C. D. Burgard

^{47}, A. Calandri

^{48}, L. Caminada

^{49}, R. Caminal Armadans

^{50}, F. Campanario

^{51}, J. Campbell

^{52}, F. Caola

^{53}, C. M. Carloni Calame

^{54}, S. Carrazza

^{55}, A. Carvalho

^{56}, M. Casolino

^{57}, O. Cata

^{58}, A. Celis

^{59}, F. Cerutti

^{60}, N. Chanon

^{61}, M. Chen

^{62}, X. Chen

^{63}, B. Chokoufé Nejad

^{64}, N. Christensen

^{65}, M. Ciuchini

^{66}, R. Contino

^{67}, T. Corbett

^{68}, D. Curtin

^{69}, M. Dall'Osso

^{70}, A. David

^{71}, S. Dawson

^{72}, J. de Blas

^{73}, W. de Boer

^{74}, P. de Castro Manzano

^{75}, C. Degrande

^{76}, R. L. Delgado

^{77}, F. Demartin

^{78}, A. Denner

^{79}, B. Di Micco

^{80}, R. Di Nardo

^{81}, S. Dittmaier

^{82}, A. Dobado

^{83}, T. Dorigo

^{84}, F. A. Dreyer

^{85}, M. Dührssen

^{86}, C. Duhr

^{87}, F. Dulat

^{88}, K. Ecker

^{89}, K. Ellis

^{90}, U. Ellwanger

^{91}, C. Englert

^{92}, D. Espriu

^{93}, A. Falkowski

^{94}, L. Fayard

^{95}, R. Feger

^{96}, G. Ferrera

^{97}, A. Ferroglia

^{98}, N. Fidanza

^{99}, T. Figy

^{100}, M. Flechl

^{101}, D. Fontes

^{102}, S. Forte

^{103}, P. Francavilla

^{104}, E. Franco

^{105}, R. Frederix

^{106}, A. Freitas

^{107}, F. F. Freitas

^{108}, F. Frensch

^{109}, S. Frixione

^{110}, B. Fuks

^{111}, E. Furlan

^{112}, S. Gadatsch

^{113}, J. Gao

^{114}, Y. Gao

^{115}, M. V. Garzelli

^{116}, T. Gehrmann

^{117}, R. Gerosa

^{118}, M. Ghezzi

^{119}, D. Ghosh

^{120}, S. Gieseke

^{121}, D. Gillberg

^{122}, G. F. Giudice

^{123}, E. W. N. Glover

^{124}, F. Goertz

^{125}, D. Gonçalves

^{126}, J. Gonzalez-Fraile

^{127}, M. Gorbahn

^{128}, S. Gori

^{129}, C. A. Gottardo

^{130}, M. Gouzevitch

^{131}, P. Govoni

^{132}, D. Gray

^{133}, M. Grazzini

^{134}, N. Greiner

^{135}, A. Greljo

^{136}, J. Grigo

^{137}, A. V. Gritsan

^{138}, R. Gröber

^{139}, S. Guindon

^{140}, H. E. Haber

^{141}, C. Han

^{142}, T. Han

^{143}, R. Harlander

^{144}, M. A. Harrendorf

^{145}, H. B. Hartanto

^{146}, C. Hays

^{147}, S. Heinemeyer

^{148}, G. Heinrich

^{149}, M. Herrero

^{150}, F. Herzog

^{151}, B. Hespel

^{152}, V. Hirschi

^{153}, S. Hoeche

^{154}, S. Honeywell

^{155}, S. J. Huber

^{156}, C. Hugonie

^{157}, J. Huston

^{158}, A. Ilnicka

^{159}, G. Isidori

^{160}, B. Jäger

^{161}, M. Jaquier

^{162}, S. P. Jones

^{163}, A. Juste

^{164}, S. Kallweit

^{165}, A. Kaluza

^{166}, A. Kardos

^{167}, A. Karlberg

^{168}, Z. Kassabov

^{169}, N. Kauer

^{170}, D. I. Kazakov

^{171}, M. Kerner

^{172}, W. Kilian

^{173}, F. Kling

^{174}, K. Köneke

^{175}, R. Kogler

^{176}, R. Konoplich

^{177}, S. Kortner

^{178}, S. Kraml

^{179}, C. Krause

^{180}, F. Krauss

^{181}, M. Krawczyk

^{182}, A. Kulesza

^{183}, S. Kuttimalai

^{184}, R. Lane

^{185}, A. Lazopoulos

^{186}, G. Lee

^{187}, P. Lenzi

^{188}, I. M. Lewis

^{189}, Y. Li

^{190}, S. Liebler

^{191}, J. Lindert

^{192}, X. Liu

^{193}, Z. Liu

^{194}, F. J. Llanes-Estrada

^{195}, H. E. Logan

^{196}, D. Lopez-Val

^{197}, I. Low

^{198}, G. Luisoni

^{199}, P. Maierhöfer

^{200}, E. Maina

^{201}, B. Mansoulié

^{202}, H. Mantler

^{203}, M. Mantoani

^{204}, A. C. Marini

^{205}, V. I. Martinez Outschoorn

^{206}, S. Marzani

^{207}, D. Marzocca

^{208}, A. Massironi

^{209}, K. Mawatari

^{210}, J. Mazzitelli

^{211}, A. McCarn

^{212}, B. Mellado

^{213}, K. Melnikov

^{214}, S. B. Menari

^{215}, L. Merlo

^{216}, C. Meyer

^{217}, P. Milenovic

^{218}, K. Mimasu

^{219}, S. Mishima

^{220}, B. Mistlberger

^{221}, S. -O. Moch

^{222}, A. Mohammadi

^{223}, P. F. Monni

^{224}, G. Montagna

^{225}, M. Moreno Llácer

^{226}, N. Moretti

^{227}, S. Moretti

^{228}, L. Motyka

^{229}, A. Mück

^{230}, M. Mühlleitner

^{231}, S. Munir

^{232}, P. Musella

^{233}, P. Nadolsky

^{234}, D. Napoletano

^{235}, M. Nebot

^{236}, C. Neu

^{237}, M. Neubert

^{238}, R. Nevzorov

^{239}, O. Nicrosini

^{240}, J. Nielsen

^{241}, K. Nikolopoulos

^{242}, J. M. No

^{243}, C. O'Brien

^{244}, T. Ohl

^{245}, C. Oleari

^{246}, T. Orimoto

^{247}, D. Pagani

^{248}, C. E. Pandini

^{249}, A. Papaefstathiou

^{250}, A. S. Papanastasiou

^{251}, G. Passarino

^{252}, B. D. Pecjak

^{253}, M. Pelliccioni

^{254}, G. Perez

^{255}, L. Perrozzi

^{256}, F. Petriello

^{257}, G. Petrucciani

^{258}, E. Pianori

^{259}, F. Piccinini

^{260}, M. Pierini

^{261}, A. Pilkington

^{262}, S. Plätzer

^{263}, T. Plehn

^{264}, R. Podskubka

^{265}, C. T. Potter

^{266}, S. Pozzorini

^{267}, K. Prokofiev

^{268}, A. Pukhov

^{269}, I. Puljak

^{270}, M. Queitsch-Maitland

^{271}, J. Quevillon

^{272}, D. Rathlev

^{273}, M. Rauch

^{274}, E. Re

^{275}, M. N. Rebelo

^{276}, D. Rebuzzi

^{277}, L. Reina

^{278}, C. Reuschle

^{279}, J. Reuter

^{280}, M. Riembau

^{281}, F. Riva

^{282}, A. Rizzi

^{283}, T. Robens

^{284}, R. Röntsch

^{285}, J. Rojo

^{286}, J. C. Romão

^{287}, N. Rompotis

^{288}, J. Roskes

^{289}, R. Roth

^{290}, G. P. Salam

^{291}, R. Salerno

^{292}, R. Santos

^{293}, V. Sanz

^{294}, J. J. Sanz-Cillero

^{295}, H. Sargsyan

^{296}, U. Sarica

^{297}, P. Schichtel

^{298}, J. Schlenk

^{299}, T. Schmidt

^{300}, C. Schmitt

^{301}, M. Schönherr

^{302}, U. Schubert

^{303}, M. Schulze

^{304}, S. Sekula

^{305}, M. Sekulla

^{306}, E. Shabalina

^{307}, H. S. Shao

^{308}, J. Shelton

^{309}, C. H. Shepherd-Themistocleous

^{310}, S. Y. Shim

^{311}, F. Siegert

^{312}, A. Signer

^{313}, J. P. Silva

^{314}, L. Silvestrini

^{315}, M. Sjodahl

^{316}, P. Slavich

^{317}, M. Slawinska

^{318}, L. Soffi

^{319}, M. Spannowsky

^{320}, C. Speckner

^{321}, D. M. Sperka

^{322}, M. Spira

^{323}, O. Stål

^{324}, F. Staub

^{325}, T. Stebel

^{326}, T. Stefaniak

^{327}, M. Steinhauser

^{328}, I. W. Stewart

^{329}, M. J. Strassler

^{330}, J. Streicher

^{331}, D. M. Strom

^{332}, S. Su

^{333}, X. Sun

^{334}, F. J. Tackmann

^{335}, K. Tackmann

^{336}, A. M. Teixeira

^{337}, R. Teixeira de Lima

^{338}, V. Theeuwes

^{339}, R. Thorne

^{340}, D. Tommasini

^{341}, P. Torrielli

^{342}, M. Tosi

^{343}, F. Tramontano

^{344}, Z. Trócsányi

^{345}, M. Trott

^{346}, I. Tsinikos

^{347}, M. Ubiali

^{348}, P. Vanlaer

^{349}, W. Verkerke

^{350}, A. Vicini

^{351}, L. Viliani

^{352}, E. Vryonidou

^{353}, D. Wackeroth

^{354}, C. E. M. Wagner

^{355}, J. Wang

^{356}, S. Wayand

^{357}, G. Weiglein

^{358}, C. Weiss

^{359}, M. Wiesemann

^{360}, C. Williams

^{361}, J. Winter

^{362}, D. Winterbottom

^{363}, R. Wolf

^{364}, M. Xiao

^{365}, L. L. Yang

^{366}, R. Yohay

^{367}, S. P. Y. Yuen

^{368}, G. Zanderighi

^{369}, M. Zaro

^{370}, D. Zeppenfeld

^{371}, R. Ziegler

^{372}, T. Zirke

^{373}, J. Zupan

^{374}

**Affiliations:**

^{1}eds.,

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^{10}The LHC Higgs Cross Section Working Group,

^{11}The LHC Higgs Cross Section Working Group,

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^{317}The LHC Higgs Cross Section Working Group,

^{318}The LHC Higgs Cross Section Working Group,

^{319}The LHC Higgs Cross Section Working Group,

^{320}The LHC Higgs Cross Section Working Group,

^{321}The LHC Higgs Cross Section Working Group,

^{322}The LHC Higgs Cross Section Working Group,

^{323}The LHC Higgs Cross Section Working Group,

^{324}The LHC Higgs Cross Section Working Group,

^{325}The LHC Higgs Cross Section Working Group,

^{326}The LHC Higgs Cross Section Working Group,

^{327}The LHC Higgs Cross Section Working Group,

^{328}The LHC Higgs Cross Section Working Group,

^{329}The LHC Higgs Cross Section Working Group,

^{330}The LHC Higgs Cross Section Working Group,

^{331}The LHC Higgs Cross Section Working Group,

^{332}The LHC Higgs Cross Section Working Group,

^{333}The LHC Higgs Cross Section Working Group,

^{334}The LHC Higgs Cross Section Working Group,

^{335}The LHC Higgs Cross Section Working Group,

^{336}The LHC Higgs Cross Section Working Group,

^{337}The LHC Higgs Cross Section Working Group,

^{338}The LHC Higgs Cross Section Working Group,

^{339}The LHC Higgs Cross Section Working Group,

^{340}The LHC Higgs Cross Section Working Group,

^{341}The LHC Higgs Cross Section Working Group,

^{342}The LHC Higgs Cross Section Working Group,

^{343}The LHC Higgs Cross Section Working Group,

^{344}The LHC Higgs Cross Section Working Group,

^{345}The LHC Higgs Cross Section Working Group,

^{346}The LHC Higgs Cross Section Working Group,

^{347}The LHC Higgs Cross Section Working Group,

^{348}The LHC Higgs Cross Section Working Group,

^{349}The LHC Higgs Cross Section Working Group,

^{350}The LHC Higgs Cross Section Working Group,

^{351}The LHC Higgs Cross Section Working Group,

^{352}The LHC Higgs Cross Section Working Group,

^{353}The LHC Higgs Cross Section Working Group,

^{354}The LHC Higgs Cross Section Working Group,

^{355}The LHC Higgs Cross Section Working Group,

^{356}The LHC Higgs Cross Section Working Group,

^{357}The LHC Higgs Cross Section Working Group,

^{358}The LHC Higgs Cross Section Working Group,

^{359}The LHC Higgs Cross Section Working Group,

^{360}The LHC Higgs Cross Section Working Group,

^{361}The LHC Higgs Cross Section Working Group,

^{362}The LHC Higgs Cross Section Working Group,

^{363}The LHC Higgs Cross Section Working Group,

^{364}The LHC Higgs Cross Section Working Group,

^{365}The LHC Higgs Cross Section Working Group,

^{366}The LHC Higgs Cross Section Working Group,

^{367}The LHC Higgs Cross Section Working Group,

^{368}The LHC Higgs Cross Section Working Group,

^{369}The LHC Higgs Cross Section Working Group,

^{370}The LHC Higgs Cross Section Working Group,

^{371}The LHC Higgs Cross Section Working Group,

^{372}The LHC Higgs Cross Section Working Group,

^{373}The LHC Higgs Cross Section Working Group,

^{374}The LHC Higgs Cross Section Working Group

This Report summarizes the results of the activities of the LHC Higgs Cross Section Working Group in the period 2014-2016. The main goal of the working group was to present the state-of-the-art of Higgs physics at the LHC, integrating all new results that have appeared in the last few years. The first part compiles the most up-to-date predictions of Higgs boson production cross sections and decay branching ratios, parton distribution functions, and off-shell Higgs boson production and interference effects. Read More

We investigate QCD amplitudes with massive quarks computed in the four-dimensional helicity scheme (FDH) and dimensional reduction at NNLO and describe how they are related to the corresponding amplitudes computed in conventional dimensional regularization. To this end, the scheme dependence of the heavy quark and the velocity-dependent cusp anomalous dimensions is determined using soft-collinear effective theory. The results are checked against explicit computations of massive form factors in FDH at NNLO. Read More

Despite a large experimental effort, so far no evidence for flavour-violating decays of charged leptons such as $l_i\to l_j\gamma$ and $l_i\to l_j l_k l_k$ has been found. The absence of a signal puts very severe constraints on many extensions of the Standard Model. Here we apply a model independent approach by studying such decays in the Standard Model effective field theory. Read More

We consider soft gluon emission corrections to the production of a top-antitop pair in association with a Higgs boson at hadron colliders. In particular, we present a soft-gluon resummation formula for this production process and gather all elements needed to evaluate it at next-to-next-to-leading logarithmic order. We employ these results to obtain approximate next-to-next-to-leading order (NNLO) formulas, and implement them in a bespoke parton-level Monte Carlo program which can be used to calculate the total cross section along with arbitrary differential distributions. Read More

We investigate the regularization-scheme dependence of scattering amplitudes in massless QCD and find that the four-dimensional helicity scheme (FDH) and dimensional reduction (DRED) are consistent at least up to NNLO in the perturbative expansion if renormalization is done appropriately. Scheme dependence is shown to be deeply linked to the structure of UV and IR singularities. We use jet and soft functions defined in soft-collinear effective theory (SCET) to efficiently extract the relevant anomalous dimensions in the different schemes. Read More

The $H\to gg$ amplitude relevant for Higgs production via gluon fusion is computed in the four-dimensional helicity scheme (FDH) and in dimensional reduction (DRED) at the two-loop level. The required renormalization is developed and described in detail, including the treatment of evanescent $\epsilon$-scalar contributions. In FDH and DRED there are additional dimension-5 operators generating the $H g g$ vertices, where $g$ can either be a gluon or an $\epsilon$-scalar. Read More

We implement a systematic effective field theory approach to the benchmark process $\mu\to e \gamma$, performing automated one-loop computations including dimension 6 operators and studying their anomalous dimensions. We obtain limits on Wilson coefficients of a relevant subset of lepton-flavour violating operators that contribute to the branching ratio $\mu\to e \gamma$ at one-loop. In addition, we illustrate a method to extract further constraints induced by the mixing of operators under renormalisation-group evolution. Read More

Recent progress in the understanding of vacuum expectation values and of infrared divergences in different regularization schemes is reviewed. Vacuum expectation values are gauge and renormalization-scheme dependent quantities. Using a method based on Slavnov-Taylor identities, the renormalization properties could be better understood. Read More

We extend approximate next-to-next-to-leading order results for top-pair production to include the semi-leptonic decays of top quarks in the narrow-width approximation. The new hard-scattering kernels are implemented in a fully differential parton-level Monte Carlo that allows for the study of any IR-safe observable constructed from the momenta of the decay products of the top. Our best predictions are given by approximate NNLO corrections in the production matched to a fixed order calculation with NLO corrections in both the production and decay subprocesses. Read More

We consider variants of dimensional regularization, including the four-dimensional helicity scheme (FDH) and dimensional reduction (DRED), and present the gluon and quark form factors in the FDH scheme at next-to-next-to-leading order. We also discuss the generalization of the infrared factorization formula to FDH and DRED. This allows us to extract the cusp anomalous dimension as well as the quark and gluon anomalous dimensions at next-to-next-to-leading order in the FDH and DRED scheme, using $\overline{\text{MS}}$ and $\overline{\text{DR}}$ renormalization. Read More

We present a general formalism for the calculation of finite-width contributions to the differential production cross sections of unstable particles at hadron colliders. In this formalism, which employs an effective-theory description of unstable-particle production and decay, the matrix element computation is organized as a gauge-invariant expansion in powers of $\Gamma_X/m_X$, with $\Gamma_X$ and $m_X$ the width and mass of the unstable particle. This framework allows for a systematic inclusion of off-shell and non-factorizable effects whilst at the same time keeping the computational effort minimal compared to a full calculation in the complex-mass scheme. Read More

In this work we present a calculation of both t-channel and s-channel single-top production at next-to-leading order in QCD for the Tevatron and for the LHC at a centre-of-mass energy of 7 TeV. All the cross sections and kinematical distributions presented include leading non-factorizable corrections arising from interferences of the production and decay subprocesses, extending previous results beyond the narrow-width approximation. The new off-shell effects are found to be generally small, but can be sizeable close to kinematical end-points and for specific distributions. Read More

We present a calculation of O(\alpha_s) contributions to the process of t-channel single-top production and decay, which include virtual and real corrections arising from interference of the production and decay subprocesses. The calculation is organized as a simultaneous expansion of the matrix elements in the couplings \alpha_{ew},\alpha_s and the virtuality of the intermediate top quark, (p_t^2-m_t^2)/m_t^2 ~ \Gamma_t/m_t, and extends earlier results beyond the narrow-width approximation. Read More

We consider a different power counting in potential NRQCD by incorporating the static potential exactly in the leading order Hamiltonian. We compute the leading relativistic corrections to the inclusive electromagnetic decay ratios in this new scheme. The effect of this new power counting is found to be large (even for top). Read More

We present a method to compute off-shell effects for processes involving resonant particles at hadron colliders with the possibility to include realistic cuts on the decay products. The method is based on an effective theory approach to unstable particle production and, as an example, is applied to t-channel single top production at the LHC. Read More

This article is a very basic introduction to supersymmetry. It introduces the two kinds of superfields needed for supersymmetric extensions of the Standard Model, the chiral superfield and the vector superfield, and discusses in detail how to construct supersymmetric, gauge invariant Lagrangians. The main ideas on how to break supersymmetry spontaneously are also covered. Read More

We present an analysis to determine the charm quark mass from non-relativistic sum rules, using a combined approach taking into account fixed-order and effective-theory calculations. Non-perturbative corrections as well as higher-order perturbative corrections are under control. For the PS mass we find m_{PS}(0. Read More

We consider the application of regularization by dimensional reduction to NLO corrections of hadronic processes. The general collinear singularity structure is discussed, the origin of the regularization-scheme dependence is identified and transition rules to other regularization schemes are derived. Read More

We discuss how to apply regularization by dimensional reduction for computing hadronic cross sections at next-to-leading order. We analyze the infrared singularity structure, demonstrate that there are no problems with factorization, and show how to use dimensional reduction in conjunction with standard parton distribution functions. We clarify that different versions of dimensional reduction with different infrared and factorization behaviour have been used in the literature. Read More

We combine the fixed-order evaluation of the $b\bar{b}$ sum rules with a non-relativistic effective-theory approach. The combined result for the $n$-th moment includes all terms suppressed with respect to the leading-order result by ${\cal O}(\alpha_s^3)$ and ${\cal O}((\alpha_s \sqrt{n})^l \alpha_s^2)$, counting $\alpha_s \sqrt{n} \sim 1$. When compared to experimental data, the moments thus obtained show a remarkable consistency and allow for an analysis in the whole range $1\le n\lesssim 16$. Read More

**Authors:**Martin Beneke

^{1}, Pietro Falgari

^{2}, Christian Schwinn

^{3}, Adrian Signer

^{4}, Giulia Zanderighi

^{5}

**Affiliations:**

^{1}RWTH Aachen,

^{2}RWTH Aachen,

^{3}RWTH Aachen,

^{4}IPPP Durham,

^{5}CERN

We perform a dedicated study of the four-fermion production process e- e+ -> mu- nubar_mu u dbar X near the W pair-production threshold in view of the importance of this process for a precise measurement of the W boson mass. Accurate theoretical predictions for this process require a systematic treatment of finite-width effects. We use unstable-particle effective field theory (EFT) to perform an expansion in the coupling constants, GammaW/MW, and the non-relativistic velocity v of the W boson up to next-to-leading order in GammaW/MW ~ alpha_ew ~ v^2. Read More

We study the effect of the resummation of logarithms for t\bar{t} production near threshold and inclusive electromagnetic decays of heavy quarkonium. This analysis is complete at next-to-next-to-leading order and includes the full resummation of logarithms at next-to-leading-logarithmic accuracy and some partial contributions at next-to-next-to-leading logarithmic accuracy. Compared with fixed-order computations at next-to-next-to-leading order the scale dependence and convergence of the perturbative series is greatly improved for both the position of the peak and the normalization of the total cross section. Read More

We present an evaluation of the t\bar{t} cross section near threshold at next-to-next-to-leading logarithmic accuracy, using a two-step matching procedure. QED corrections are taken into account as well and are shown to be numerically important. Finally we give an outlook on how to further improve the theoretical predictions with particular emphasis on how to consistently include finite width effects. Read More

We study the effect of resumming large logarithms in the determination of the bottom quark mass through a non-relativistic sum rule analysis. Our result is complete at next-to-leading-logarithmic accuracy and includes some known contributions at next-to-next-to-leading logarithmic accuracy. Compared to finite order computations, the reliability of the theoretical evaluation is greatly improved, resulting in a substantially reduced scale dependence and a faster convergent perturbative series. Read More

Since an old observation by Beenakker et al, the evaluation of QCD processes in dimensional reduction has repeatedly led to terms that seem to violate the QCD factorization theorem. We reconsider the example of the process gg->ttbar and show that the factorization problem can be completely resolved. A natural interpretation of the seemingly non-factorizing terms is found, and they are rewritten in a systematic and factorized form. Read More

We illustrate the use of effective theory techniques to describe processes involving unstable particles close to resonance. First, we present the main ideas in the context of a scalar resonance in an Abelian gauge-Yukawa model. We then outline the necessary modifications to describe W-pair production close to threshold in electron-positron collisions. Read More

**Affiliations:**

^{1}RWTH Aachen,

^{2}RWTH Aachen,

^{3}IPPP Durham,

^{4}FNAL

**Category:**High Energy Physics - Phenomenology

Tests of the standard model and its hypothetical extensions require precise theoretical predictions for processes involving massive, unstable particles. It is well-known that ordinary weak-coupling perturbation theory breaks down due to intermediate singular propagators. Various pragmatic approaches have been developed to deal with this difficulty. Read More

Using the hierarchy of scales between the mass, $M$, and the width, $\Gamma$, of a heavy, unstable particle we construct an effective theory that allows calculations for resonant processes to be systematically expanded in powers of the coupling $\alpha$ and $\Gamma/M$. We illustrate the method by computing the next-to-leading order line shape of a scalar resonance in an abelian gauge-Yukawa model. Read More

We present a method to construct infrared-finite amplitudes for gauge theories with massless fermions. Rather than computing $S$-matrix elements between usual states of the Fock space we construct order-by-order in perturbation theory dressed states that incorporate all long-range interactions. The $S$-matrix elements between these states are shown to be free from soft and collinear singularities. Read More

We study the contribution of gluon induced partonic subprocesses to Z gamma pair production at hadron colliders. These processes contribute only at next-to-next-to-leading order but are potentially enhanced by two factors of the gluon parton densities. However, we find that their contribution is modest and that next-to-leading order calculations give reliable predictions. Read More

We calculate the contribution of the partonic processes gg->WZ q\bar{q} and gg -> W gamma q\bar{q} to WZ and W gamma pair production at hadron colliders, including anomalous triple gauge-boson couplings. We use the helicity method and include the decay of the W and Z-boson into leptons in the narrow-width approximation. In order to integrate over the q\bar{q} final state phase space we use an extended version of the subtraction method to NNLO and remove collinear singularities explicitly. Read More

We analyze the structure of higher-order radiative corrections for processes with unstable particles. By subsequently integrating out the various scales that are induced by the presence of unstable particles we obtain a hierarchy of effective field theories. In the effective field theory framework the separation of physically different effects is achieved naturally. Read More

**Authors:**G. Azuelos, U. Baur, J. van der Bij, D. Bourilkov, O. Brein, R. Casalbuoni, A. Deandrea, S. De Curtis, D. De Florian, A. Denner, S. Dittmaier, M. Dittmar, A. Dobado, M. Dobbs, D. Dominici, R. Gatto, A. Ghinculov, F. Gianotti, M. Grazzini, J. B. Hansen, R. Harper, S. Haywood, S. Heinemeyer, M. J. Herrero, P. R. Hobson, W. Hollik, M. Lefebvre, M. Kramer, Z. Kunszt, C. K. Mackay, R. Mazini, A. Miagkov, T. Muller, D. Neuberger, R. Orr, B. Osculati, J. R. Pelaez, A. Pich, D. Rainwater, M. Redi, S. Riley, E. Ruiz Morales, C. Schappacher, A. Signer, K. Sliwa, H. Spiesberger, W. H. Thummel D. Wackeroth, G. Weiglein, D. Zeppenfeld, D. Zurcher

**Category:**High Energy Physics - Phenomenology

We review the prospects for studies in electroweak physics at the LHC. Read More

This article reviews some recent developments in the analysis of anomalous triple and quartic vector boson couplings that have been discussed at the UK Phenomenology Workshop on Collider Physics 1999 in Durham. Read More

**Affiliations:**

^{1}ETH-Zurich,

^{2}Durham

**Category:**High Energy Physics - Phenomenology

We present a general purpose Monte Carlo program for the calculation of any infrared safe observable in WGamma and ZGamma production at hadron colliders at next-to-leading order in alpha_s. We treat the leptonic decays of the W and Z-boson in the narrow-width approximation, but retain all spin information via decay angle correlations. The effect of anomalous triple gauge boson couplings is investigated and we give the analytical expressions for the corresponding amplitudes. Read More

Using non-relativistic effective theories, new next-to-next-to-leading order (NNLO) QCD corrections to the total $t\bar t$ production cross section at the Linear Collider have been calculated recently. In this article the NNLO calculations of several groups are compared and the remaining uncertainties are discussed. The theoretical prospects for an accurate determination of top quark mass parameters are discussed in detail. Read More

We present cross sections for production of electroweak vector boson pairs, $WW$, $WZ$ and $ZZ$, in $p\bar{p}$ and $pp$ collisions, at next-to-leading order in $\alpha_s$. We treat the leptonic decays of the bosons in the narrow-width approximation, but retain all spin information via decay angle correlations. We also include the effects of $WWZ$ and $WW\gamma$ anomalous couplings. Read More

**Affiliations:**

^{1}CERN,

^{2}CERN,

^{3}Moscow State U.

**Category:**High Energy Physics - Phenomenology

We use the threshold expansion and non-relativistic effective theory to determine the bottom quark mass from moments of the $b\bar{b}$ production cross section at next-to-next-to-leading order in the (resummed) perturbative expansion, and including a summation of logarithms. For the $\bar{\rm MS}$ mass $\bar{m}_b$, we find $\bar{m}_b(\bar{m}_b)=(4.26\pm 0. Read More

**Affiliations:**

^{1}CERN,

^{2}Durham

**Category:**High Energy Physics - Phenomenology

We determine the bottom $\bar{\rm MS}$ quark mass $\bar{m}_b$ and the quark mass in the potential subtraction scheme from moments of the $b\bar{b}$ production cross section and from the mass of the Upsilon 1S state at next-to-next-to-leading order in a reorganized perturbative expansion that sums Coulomb exchange to all orders. We find $\bar{m}_b(\bar{m}_b)=(4.25\pm 0. Read More

**Affiliations:**

^{1}CERN,

^{2}Durham,

^{3}Moscow State U.

**Category:**High Energy Physics - Phenomenology

We consider top-anti-top production near threshold in $e^+ e^-$ collisions, resumming Coulomb-enhanced corrections at next-to-next-to-leading order (NNLO). We also sum potentially large logarithms of the small top quark velocity at the next-to-leading logarithmic level using the renormalization group. The NNLO correction to the cross section is large, and it leads to a significant modification of the peak position and normalization. Read More

**Affiliations:**

^{1}CERN,

^{2}ETH,

^{3}CERN,

^{4}CERN

**Category:**High Energy Physics - Phenomenology

We present a next-to-leading order computation in QCD of one-jet and two-jet cross sections in polarized hadronic collisions. Our results are obtained in the framework of a general formalism that deals with soft and collinear singularities using the subtraction method. We construct a Monte Carlo program that generates events at the partonic level. Read More

We present the one-loop QCD corrections to the helicity amplitudes for the processes $q\qb \to W^+ W^-, Z Z, W^\pm Z, W^\pm \gamma$, or $Z \gamma$, including the subsequent decay of each massive vector boson into a pair of leptons. We also give the corresponding tree-level amplitudes with an additional gluon radiated off the quark line. Together, these amplitudes provide all the necessary input for the calculation of the next-to-leading order QCD corrections to the production of any electroweak vector boson pair at hadron colliders, including the full spin and decay angle correlations. Read More

We review recent developments in the calculation of QCD loop amplitudes with several external legs, and their application to next-to-leading order jet production cross-sections. When a number of calculational tools are combined together --- helicity, color and supersymmetry decompositions, plus unitarity and factorization properties --- it becomes possible to compute multi-parton one-loop QCD amplitudes without ever evaluating analytically standard one-loop Feynman diagrams. One-loop helicity amplitudes are now available for processes with five external partons (ggggg, q\bar{q}ggg and q\bar{q}q'\bar{q}'g), and for an intermediate vector boson V \equiv \gamma^*,Z,W plus four external partons (Vq\bar{q}gg and Vq\bar{q}q'\bar{q}'). Read More

**Affiliations:**

^{1}CERN,

^{2}CERN,

^{3}Moscow State U.

**Category:**High Energy Physics - Phenomenology

Applying asymptotic expansions at threshold, we compute the two-loop QCD correction to the short-distance coefficient that governs the leptonic decay $\psi\to l^+ l^-$ of a S-wave quarkonium state and discuss its impact on the relation between the quarkonium non-relativistic wave function at the origin and the quarkonium decay constant in full QCD. Read More

We present the next-to-leading order (O(alpha_s^3)) perturbative QCD predictions for e^+e^- annihilation into four jets. A previous calculation omitted the O(alpha_s^3) terms suppressed by one or more powers of 1/N_c^2, where N_c is the number of colors, and the `light-by-glue scattering' contributions. We find that all such terms are uniformly small, constituting less than 10% of the correction. Read More

I present a general purpose Monte Carlo program for calculating the next-to-leading order corrections to arbitrary four-jet quantities in electron-positron annihilation. In the current version of the program, some subleading in color terms are neglected. As an example, I calculate the four-jet rate in the Durham scheme as well as the Bengtsson-Zerwas angular distribution at $O(\alpha_s^3)$ and compare the results to existing data. Read More

We calculate the rate for $e^+e^-$ annihilation into four jets at next-to-leading order in perturbative QCD, but omitting terms that are suppressed by one or more powers of $1/\Nc^2$, where $\Nc$ is the number of colors. The $\cO(\alpha_s^3)$ corrections depend strongly on the jet resolution parameter $\ycut$ and on the clustering and recombination schemes, and they substantially improve the agreement between theory and data. Read More