C. Anastasiou

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High Energy Physics - Phenomenology (47)
 
High Energy Physics - Experiment (14)
 
High Energy Physics - Theory (7)

Publications Authored By C. Anastasiou

2016Oct
Authors: D. de Florian1, C. Grojean2, F. Maltoni3, C. Mariotti4, A. Nikitenko5, M. Pieri6, P. Savard7, M. Schumacher8, R. Tanaka9, R. Aggleton10, M. Ahmad11, B. Allanach12, C. Anastasiou13, W. Astill14, S. Badger15, M. Badziak16, J. Baglio17, E. Bagnaschi18, A. Ballestrero19, A. Banfi20, D. Barducci21, M. Beckingham22, C. Becot23, G. Bélanger24, J. Bellm25, N. Belyaev26, F. U. Bernlochner27, C. Beskidt28, A. Biekötter29, F. Bishara30, W. Bizon31, N. E. Bomark32, M. Bonvini33, S. Borowka34, V. Bortolotto35, S. Boselli36, F. J. Botella37, R. Boughezal38, G. C. Branco39, J. Brehmer40, L. Brenner41, S. Bressler42, I. Brivio43, A. Broggio44, H. Brun45, G. Buchalla46, C. D. Burgard47, A. Calandri48, L. Caminada49, R. Caminal Armadans50, F. Campanario51, J. Campbell52, F. Caola53, C. M. Carloni Calame54, S. Carrazza55, A. Carvalho56, M. Casolino57, O. Cata58, A. Celis59, F. Cerutti60, N. Chanon61, M. Chen62, X. Chen63, B. Chokoufé Nejad64, N. Christensen65, M. Ciuchini66, R. Contino67, T. Corbett68, R. Costa69, D. Curtin70, M. Dall'Osso71, A. David72, S. Dawson73, J. de Blas74, W. de Boer75, P. de Castro Manzano76, C. Degrande77, R. L. Delgado78, F. Demartin79, A. Denner80, B. Di Micco81, R. Di Nardo82, S. Dittmaier83, A. Dobado84, T. Dorigo85, F. A. Dreyer86, M. Dührssen87, C. Duhr88, F. Dulat89, K. Ecker90, K. Ellis91, U. Ellwanger92, C. Englert93, D. Espriu94, A. Falkowski95, L. Fayard96, R. Feger97, G. Ferrera98, A. Ferroglia99, N. Fidanza100, T. Figy101, M. Flechl102, D. Fontes103, S. Forte104, P. Francavilla105, E. Franco106, R. Frederix107, A. Freitas108, F. F. Freitas109, F. Frensch110, S. Frixione111, B. Fuks112, E. Furlan113, S. Gadatsch114, J. Gao115, Y. Gao116, M. V. Garzelli117, T. Gehrmann118, R. Gerosa119, M. Ghezzi120, D. Ghosh121, S. Gieseke122, D. Gillberg123, G. F. Giudice124, E. W. N. Glover125, F. Goertz126, D. Gonçalves127, J. Gonzalez-Fraile128, M. Gorbahn129, S. Gori130, C. A. Gottardo131, M. Gouzevitch132, P. Govoni133, D. Gray134, M. Grazzini135, N. Greiner136, A. Greljo137, J. Grigo138, A. V. Gritsan139, R. Gröber140, S. Guindon141, H. E. Haber142, C. Han143, T. Han144, R. Harlander145, M. A. Harrendorf146, H. B. Hartanto147, C. Hays148, S. Heinemeyer149, G. Heinrich150, M. Herrero151, F. Herzog152, B. Hespel153, V. Hirschi154, S. Hoeche155, S. Honeywell156, S. J. Huber157, C. Hugonie158, J. Huston159, A. Ilnicka160, G. Isidori161, B. Jäger162, M. Jaquier163, S. P. Jones164, A. Juste165, S. Kallweit166, A. Kaluza167, A. Kardos168, A. Karlberg169, Z. Kassabov170, N. Kauer171, D. I. Kazakov172, M. Kerner173, W. Kilian174, F. Kling175, K. Köneke176, R. Kogler177, R. Konoplich178, S. Kortner179, S. Kraml180, C. Krause181, F. Krauss182, M. Krawczyk183, A. Kulesza184, S. Kuttimalai185, R. Lane186, A. Lazopoulos187, G. Lee188, P. Lenzi189, I. M. Lewis190, Y. Li191, S. Liebler192, J. Lindert193, X. Liu194, Z. Liu195, F. J. Llanes-Estrada196, H. E. Logan197, D. Lopez-Val198, I. Low199, G. Luisoni200, P. Maierhöfer201, E. Maina202, B. Mansoulié203, H. Mantler204, M. Mantoani205, A. C. Marini206, V. I. Martinez Outschoorn207, S. Marzani208, D. Marzocca209, A. Massironi210, K. Mawatari211, J. Mazzitelli212, A. McCarn213, B. Mellado214, K. Melnikov215, S. B. Menari216, L. Merlo217, C. Meyer218, P. Milenovic219, K. Mimasu220, S. Mishima221, B. Mistlberger222, S. -O. Moch223, A. Mohammadi224, P. F. Monni225, G. Montagna226, M. Moreno Llácer227, N. Moretti228, S. Moretti229, L. Motyka230, A. Mück231, M. Mühlleitner232, S. Munir233, P. Musella234, P. Nadolsky235, D. Napoletano236, M. Nebot237, C. Neu238, M. Neubert239, R. Nevzorov240, O. Nicrosini241, J. Nielsen242, K. Nikolopoulos243, J. M. No244, C. O'Brien245, T. Ohl246, C. Oleari247, T. Orimoto248, D. Pagani249, C. E. Pandini250, A. Papaefstathiou251, A. S. Papanastasiou252, G. Passarino253, B. D. Pecjak254, M. Pelliccioni255, G. Perez256, L. Perrozzi257, F. Petriello258, G. Petrucciani259, E. Pianori260, F. Piccinini261, M. Pierini262, A. Pilkington263, S. Plätzer264, T. Plehn265, R. Podskubka266, C. T. Potter267, S. Pozzorini268, K. Prokofiev269, A. Pukhov270, I. Puljak271, M. Queitsch-Maitland272, J. Quevillon273, D. Rathlev274, M. Rauch275, E. Re276, M. N. Rebelo277, D. Rebuzzi278, L. Reina279, C. Reuschle280, J. Reuter281, M. Riembau282, F. Riva283, A. Rizzi284, T. Robens285, R. Röntsch286, J. Rojo287, J. C. Romão288, N. Rompotis289, J. Roskes290, R. Roth291, G. P. Salam292, R. Salerno293, M. O. P. Sampaio294, R. Santos295, V. Sanz296, J. J. Sanz-Cillero297, H. Sargsyan298, U. Sarica299, P. Schichtel300, J. Schlenk301, T. Schmidt302, C. Schmitt303, M. Schönherr304, U. Schubert305, M. Schulze306, S. Sekula307, M. Sekulla308, E. Shabalina309, H. S. Shao310, J. Shelton311, C. H. Shepherd-Themistocleous312, S. Y. Shim313, F. Siegert314, A. Signer315, J. P. Silva316, L. Silvestrini317, M. Sjodahl318, P. Slavich319, M. Slawinska320, L. Soffi321, M. Spannowsky322, C. Speckner323, D. M. Sperka324, M. Spira325, O. Stål326, F. Staub327, T. Stebel328, T. Stefaniak329, M. Steinhauser330, I. W. Stewart331, M. J. Strassler332, J. Streicher333, D. M. Strom334, S. Su335, X. Sun336, F. J. Tackmann337, K. Tackmann338, A. M. Teixeira339, R. Teixeira de Lima340, V. Theeuwes341, R. Thorne342, D. Tommasini343, P. Torrielli344, M. Tosi345, F. Tramontano346, Z. Trócsányi347, M. Trott348, I. Tsinikos349, M. Ubiali350, P. Vanlaer351, W. Verkerke352, A. Vicini353, L. Viliani354, E. Vryonidou355, D. Wackeroth356, C. E. M. Wagner357, J. Wang358, S. Wayand359, G. Weiglein360, C. Weiss361, M. Wiesemann362, C. Williams363, J. Winter364, D. Winterbottom365, R. Wolf366, M. Xiao367, L. L. Yang368, R. Yohay369, S. P. Y. Yuen370, G. Zanderighi371, M. Zaro372, D. Zeppenfeld373, R. Ziegler374, T. Zirke375, J. Zupan376
Affiliations: 1eds., 2eds., 3eds., 4eds., 5eds., 6eds., 7eds., 8eds., 9eds., 10The LHC Higgs Cross Section Working Group, 11The LHC Higgs Cross Section Working Group, 12The LHC Higgs Cross Section Working Group, 13The LHC Higgs Cross Section Working Group, 14The LHC Higgs Cross Section Working Group, 15The LHC Higgs Cross Section Working Group, 16The LHC Higgs Cross Section Working Group, 17The LHC Higgs Cross Section Working Group, 18The LHC Higgs Cross Section Working Group, 19The LHC Higgs Cross Section Working Group, 20The LHC Higgs Cross Section Working Group, 21The LHC Higgs Cross Section Working Group, 22The LHC Higgs Cross Section Working Group, 23The LHC Higgs Cross Section Working Group, 24The LHC Higgs Cross Section Working Group, 25The LHC Higgs Cross Section Working Group, 26The LHC Higgs Cross Section Working Group, 27The LHC Higgs Cross Section Working Group, 28The LHC Higgs Cross Section Working Group, 29The LHC Higgs Cross Section Working Group, 30The LHC Higgs Cross 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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

In view of the searches at the LHC for scalar particle resonances in addition to the 125 GeV Higgs boson, we present the cross section for a CP-even scalar produced via gluon fusion at N3LO in perturbative QCD assuming that it couples directly to gluons in an effective theory approach. We refine our prediction by taking into account the possibility that the scalar couples to the top-quark and computing the corresponding contributions through NLO in perturbative QCD. We assess the theoretical uncertainties of the cross section due to missing higher-order QCD effects and we provide the necessary information for obtaining the cross section value and uncertainty from our results in specific scenarios beyond the Standard Model. Read More

We present the most precise value for the Higgs boson cross-section in the gluon-fusion production mode at the LHC. Our result is based on a perturbative expansion through N$^3$LO in QCD, in an effective theory where the top-quark is assumed to be infinitely heavy, while all other Standard Model quarks are massless. We combine this result with QCD corrections to the cross-section where all finite quark-mass effects are included exactly through NLO. Read More

We present methods to compute higher orders in the threshold expansion for the one-loop production of a Higgs boson in association with two partons at hadron colliders. This process contributes to the N$^3$LO Higgs production cross section beyond the soft-virtual approximation. We use reverse unitarity to expand the phase-space integrals in the small kinematic parameters and to reduce the coefficients of the expansion to a small set of master integrals. Read More

We present the cross-section for the production of a Higgs boson at hadron-colliders at next-to- next-to-next-to-leading order (N3LO) in perturbative QCD. The calculation is based on a method to perform a series expansion of the partonic cross-section around the threshold limit to an arbitrary order. We perform this expansion to sufficiently high order to obtain the value of the hadronic cross at N3LO in the large top-mass limit. Read More

In this article, we compute the gluon fusion Higgs boson cross-section at N3LO through the second term in the threshold expansion. This calculation constitutes a major milestone towards the full N3LO cross section. Our result has the best formal accuracy in the threshold expansion currently available, and includes contributions from collinear regions besides subleading corrections from soft and hard regions, as well as certain logarithmically enhanced contributions for general kinematics. Read More

We compute the NNLO QCD corrections for the hadroproduction of a pair of off-shell photons in the limit of a large number of quark flavors. We perform a reduction of the two-loop amplitude to master integrals and calculate the latter analytically as a Laurent series in the dimensional regulator using modern integration methods. Real radiation corrections are evaluated numerically with a direct subtraction of infrared limits which we cast in a simple factorized form. Read More

We present the cross-section for the threshold production of the Higgs boson at hadron-colliders at next-to-next-to-next-to-leading order (N3LO) in perturbative QCD. We present an analytic expression for the partonic cross-section at threshold and the impact of these corrections on the numerical estimates for the hadronic cross-section at the LHC. With this result we achieve a major milestone towards a complete evaluation of the cross-section at N3LO which will reduce the theoretical uncertainty in the determination of the strengths of the Higgs boson interactions. Read More

We compute the contributions to the N3LO inclusive Higgs boson cross-section from the square of one-loop amplitudes with a Higgs boson and three QCD partons as external states. Our result is a Taylor expansion in the dimensional regulator epsilon, where the coefficients of the expansion are analytic functions of the ratio of the Higgs boson mass and the partonic center of mass energy and they are valid for arbitrary values of this ratio. We also perform a threshold expansion around the limit of soft-parton radiation in the final state. Read More

We present the two first terms in the threshold expansion of Higgs production partonic cross-sections at hadron colliders for processes with three partons in the final state. These are contributions to the inclusive Higgs cross-section in gluon fusion at N3LO. We have developed a new technique for the expansion of the squared matrix-elements around the soft limit and for the reduction of the required phase-space integrals to only ten single-scale master integrals. Read More

We evaluate all phase space master integrals which are required for the total cross section of generic 2 -> 1 processes at NNLO as a series expansion in the dimensional regulator epsilon. Away from the limit of threshold production, our expansion includes one order higher than what has been available in the literature. At threshold, we provide expressions which are valid to all orders in terms of Gamma functions and hypergeometric functions. Read More

We present the inclusive Higgs boson cross-section at the LHC with collision energy of 8 TeV. Our predictions are obtained using our publicly available program iHixs which incorporates NNLO QCD corrections and electroweak corrections. We review the convergence of the QCD perturbative expansion at this new energy and examine the impact of finite Higgs width effects. Read More

The decay of a light Higgs boson to bottom quarks is dominant and can be exploited for the discovery of the Higgs particle and the measurement of its properties at the LHC and future collider experiments. We perform a first computation of the fully differential decay at next-next-to-leading order in perturbative QCD. We employ a novel method of non-linear mappings for the treatment of singularities in the radiative processes which contribute to the decay width. Read More

We present a new program (iHixs) which computes the inclusive Higgs boson cross-section at hadron colliders. It incorporates QCD corrections through NNLO, real and virtual electroweak corrections, mixed QCD-electroweak corrections, quark-mass effects through NLO in QCD, and finite width effects for the Higgs boson and heavy quarks. iHixs can be used to obtain the most precise cross-section values in fixed order perturbation theory in the Standard Model. Read More

We present theoretical predictions for the Higgs boson production cross-section via gluon fusion at the LHC in a Standard Model with four generations. We include QCD corrections through NLO retaining the full dependence on the quark masses, and the NNLO corrections in the heavy quark effective theory approximation. We also include electroweak corrections through three loops. Read More

N=4 supersymmetric Yang-Mills theory exhibits a rather surprising duality of Wilson-loop vacuum expectation values and scattering amplitudes. In this paper, we investigate this correspondence at the diagram level. We find that one-loop triangles, one-loop boxes, and two-loop diagonal boxes can be cast as simple one- and two- parametric integrals over a single propagator in configuration space. Read More

Real and virtual corrections in NNLO QCD require multi-dimensional integrals with overlapping singularities. We first review ideas and methods which have been proposed for performing such computations. We then present a new method for the factorization of overlapping singularities based on non-linear integral transformations. Read More

We consider extensions of the Standard Model with a number of additional heavy quarks which couple to the Higgs boson via top-like Yukawa interactions. We construct an effective theory valid for a Higgs boson mass which is lighter than twice the lightest heavy quark mass and compute the corresponding Wilson coefficient through NNLO. We present numerical results for the gluon fusion cross-section at the Tevatron for an extension of the Standard Model with a fourth generation of heavy quarks. Read More

We compute fully differential next-to-leading order QCD cross-sections for Higgs boson production via gluon fusion in the Standard Model. We maintain the full dependence of the cross-sections on the top and bottom quark mass. We find that finite quark mass effects are important given the achieved precision of QCD predictions for gluon fusion. Read More

The Tevatron experiments have recently excluded a Standard Model Higgs boson in the mass range 160 - 170 GeV at the 95% confidence level. This result is based on sophisticated analyses designed to maximize the ratio of signal and background cross-sections. In this paper we study the production of a Higgs boson of mass 160 GeV in the gg -> H -> WW -> l nu l nu channel. Read More

We compute for the first time the two-loop corrections to arbitrary n-gon lightlike Wilson loops in N=4 supersymmetric Yang-Mills theory, using efficient numerical methods. The calculation is motivated by the remarkable agreement between the finite part of planar six-point MHV amplitudes and hexagon Wilson loops which has been observed at two loops. At n=6 we confirm that the ABDK/BDS ansatz must be corrected by adding a remainder function, which depends only on conformally invariant ratios of kinematic variables. Read More

We study the role of fermionic resonances in realistic composite Higgs models. We consider the low energy effective description of a model in which the Higgs arises as the pseudo-Goldstone boson of an SO(5)/SO(4) global symmetry breaking pattern. Assuming that only fermionic resonances are present below the cut-off of our effective theory, we perform a detailed analysis of the electroweak constraints on such a model. Read More

We compute the 3-loop O(\alpha \alpha_s) correction to the Higgs boson production cross section arising from light quarks using an effective theory approach. Our calculation probes the factorization of QCD and electroweak perturbative corrections to this process. We combine our results with the best current estimates for contributions from top and bottom quarks to derive an updated theoretical prediction for the Higgs boson production cross section in gluon fusion. Read More

We compute the one-loop QCD amplitude for the process gg-->Q\bar{Q} in dimensional regularization through order \epsilon^2 in the dimensional regulator and for arbitrary quark mass values. This result is an ingredient of the NNLO cross-section for heavy quark production at hadron colliders. The calculation is performed in conventional dimensional regularization, using well known reduction techniques as well as a method based on recent ideas for the functional form of one-loop integrands in four dimensions. Read More

We present the two-loop QCD amplitude for the interaction of two gluons and a CP-even Higgs boson in the Minimal Supersymmetric Standard Model. We apply a novel numerical method for the evaluation of Feynman diagrams with infrared, ultraviolet and threshold singularities. We discuss subtleties in the ultraviolet renormalization of the amplitude with conventional dimensional regularization, dimensional reduction, and the four dimensional helicity scheme. Read More

The discovery of a Standard Model Higgs boson is possible when experimental cuts are applied which increase the ratio of signal and background cross-sections. In this paper we study the pp->H->WW signal cross-section at the LHC which requires a selection of Higgs bosons with small transverse momentum. We compare predictions for the efficiency of the experimental cuts from a NNLO QCD calculation, a calculation of the resummation of logarithms in the transverse momentum of the Higgs boson at NNLL, and the event generator MC@NLO. Read More

We present a first computation of the NNLO QCD cross section at the LHC for the production of four leptons from a Higgs boson decaying into W bosons. We study the cross section for a Higgs boson mass Mh = 165 GeV; around this value a Standard Model Higgs boson decays almost exclusively into W-pairs. We apply all nominal experimental cuts on the final state leptons and the associated jet activity and study the magnitude of higher-order effects up to NNLO on all kinematic variables which are constrained by experimental cuts. Read More

We present a method to evaluate numerically Feynman diagrams directly from their Feynman parameters representation. We first disentangle overlapping singularities using sector decomposition. Threshold singularities are treated with an appropriate contour deformation. Read More

We present an alternative reduction to master integrals for one-loop amplitudes using a unitarity cut method in arbitrary dimensions. We carry out the reduction in two steps. The first step is a pure four-dimensional cut-integration of tree amplitudes with a mass parameter, and the second step is applying dimensional shift identities to master integrals. Read More

We compute all two-loop master integrals which are required for the evaluation of next-to-leading order QCD corrections in Higgs boson production via gluon fusion. Many two-loop amplitudes for 2 -> 1 processes in the Standard Model and beyond can be expressed in terms of these integrals using automated reduction techniques. These integrals also form a subset of the master integrals for more complicated 2 -> 2 amplitudes with massive propagators in the loops. Read More

We develop a unitarity method to compute one-loop amplitudes with massless propagators in d=4-2*epsilon dimensions. We compute double cuts of the loop amplitudes via a decomposition into a four-dimensional and a -2*epsilon-dimensional integration. The four-dimensional integration is performed using spinor integration or other efficient techniques. Read More

We study a phenomenological ansatz for merging next-to-next-to-leading order (NNLO) calculations with Monte Carlo event generators. We reweight them to match bin-integrated NNLO differential distributions. To test this procedure, we study the Higgs boson production cross-section at the LHC, for which a fully differential partonic NNLO calculation is available. Read More

We present a new method for the numerical evaluation of arbitrary loop integrals in dimensional regularization. We first derive Mellin-Barnes integral representations and apply an algorithmic technique, based on the Cauchy theorem, to extract the divergent parts in the epsilon->0 limit. We then perform an epsilon-expansion and evaluate the integral coefficients of the expansion numerically. Read More

We point out that the QCD corrections to the gluon-fusion Higgs boson production cross section at the LHC are very similar to the corrections to the Higgs decay rate into two gluons. Consequently, the ratio of these two quantities has a theoretical uncertainty smaller than the uncertainty in the cross section alone by a factor of two. We note that since this ratio is the theoretical input to analyses of Higgs coupling extractions at the LHC, the reduced uncertainty should be used; in previous studies, the full cross section uncertainty was employed. Read More

We compute the complete O(alpha^2) QED corrections to the electron energy spectrum in unpolarized muon decay, including the full dependence on the electron mass. Our calculation reduces the theoretical uncertainty on the electron energy spectrum well below 10^{-4}, the precision anticipated by the TWIST experiment at TRIUMF, which is currently performing this measurement. For this calculation, we extend techniques we have recently developed for performing next-to-next-to-leading order computations to handle the decay spectra of massive particles. Read More

We describe a calculation of the fully differential cross section for Higgs boson production in the gluon fusion channel through next-to-next-to-leading order (NNLO) in perturbative QCD. The decay of the Higgs boson into two photons is included. Technical aspects of the computation are discussed in detail. Read More

We present a calculation of the fully differential cross section for Higgs boson production in the gluon fusion channel through next-to-next-to-leading order in perturbative QCD. We apply the method introduced in \cite{Anastasiou:2003gr} to compute double real emission corrections. Our calculation permits arbitrary cuts on the final state in the reaction $hh \to H + X$. Read More

We present a program for the reduction of large systems of integrals to master integrals. The algorithm was first proposed by Laporta; in this paper, we implement it in MAPLE. We also develop two new features which keep the size of intermediate expressions relatively small throughout the calculation. Read More

We present a calculation of the differential two jet cross section in e^+e^- annihilation through next-to-next-to-leading order in the strong coupling constant alpha_s. The calculation is performed using a new method for dealing with real radiation suggested by us recently. For the first time, the two jet event rate is computed directly, without any reference to the inclusive cross-section e^+e^- to hadrons. Read More

The anti-de Sitter/conformal field theory duality conjecture raises the question of how the perturbative expansion in the conformal field theory can resum to a simple function. We exhibit a relation between the one-loop and two-loop amplitudes whose generalization to higher-point and higher-loop amplitudes would answer this question. We also provide evidence for the first of these generalizations. Read More

We compute the rapidity distributions of W and Z bosons produced at the Tevatron and the LHC through next-to-next-to leading order in QCD. Our results demonstrate remarkable stability with respect to variations of the factorization and renormalization scales for all values of rapidity accessible in current and future experiments. These processes are therefore ``gold-plated'': current theoretical knowledge yields QCD predictions accurate to better than one percent. Read More

We propose a new method of computing real emission contributions to hard QCD processes. Our approach uses sector decomposition of the exclusive final-state phase space to enable extraction of all singularities of the real emission matrix elements before integration over any kinematic variable. The exact kinematics of the real emission process are preserved in all regions of phase space. Read More

The collinear factorization properties of two-loop scattering amplitudes in dimensionally-regulated N=4 super-Yang-Mills theory suggest that, in the planar ('t Hooft) limit, higher-loop contributions can be expressed entirely in terms of one-loop amplitudes. We demonstrate this relation explicitly for the two-loop four-point amplitude and, based on the collinear limits, conjecture an analogous relation for n-point amplitudes. The simplicity of the relation is consistent with intuition based on the AdS/CFT correspondence that the form of the large N_c L-loop amplitudes should be simple enough to allow a resummation to all orders. Read More

We compute the rapidity distribution of the virtual photon produced in the Drell-Yan process through next-to-next-to-leading order in perturbative QCD. We introduce a powerful new method for calculating differential distributions in hard scattering processes. This method is based upon a generalization of the optical theorem; it allows the integration-by-parts technology developed for multi-loop diagrams to be applied to non-inclusive phase-space integrals, and permits a high degree of automation. Read More

We describe a new method, based on an extension of the unitarity cutting rules proposed earlier, which is very efficient for the algorithmic evaluation of phase-space integrals for various differential distributions. As a first application, we compute the next-to-leading order normalized rapidity distribution of the CP-even and the CP-odd Higgs boson produced in hadron collisions through gluon fusion. We work in the heavy top-quark approximation; we find that the NLO corrections at the LHC are approximately 5% in the zero rapidity region. Read More

We compute the total cross-section for direct production of the pseudoscalar Higgs boson in hadron collisions at next-to-next-to-leading order (NNLO) in perturbative QCD. The O(alpha_s^2) QCD corrections increase the NLO production cross-section by approximately 20-30 per cent. Read More

We compute the total cross-section for direct Higgs boson production in hadron collisions at NNLO in perturbative QCD. A new technique which allows us to perform an algorithmic evaluation of inclusive phase-space integrals is introduced, based on the Cutkosky rules, integration by parts and the differential equation method for computing master integrals. Finally, we discuss the numerical impact of the O(alpha_s^2) QCD corrections to the Higgs boson production cross-section at the LHC and the Tevatron. Read More

We present the NNLO QCD virtual corrections for qurak-antiquark -> gluon photon, quark-antiquark -> photon photon and the NNLO QED virtual corrections for electron positron -> photon photon and all processes related by crossing symmetry. We perform an explicit evaluation of the two-loop diagrams in conventional dimensional regularisation, and our results are renormalised in the MSbar scheme. The infrared pole structure of the amplitudes is in agreement with the prediction of Catani's general formalism for the singularities of two-loop amplitudes, while expressions for the finite remainder are given for all processes in terms of logarithms and polylogarithms that are real in the physical region. Read More

We present the O(alphas^4) virtual QCD corrections to the scattering process of massless quark qqbar -> gg due to the interference of tree and two-loop amplitudes and to the self-interference of one-loop amplitudes. We work in conventional dimensional regularisation and our results are renormalised in the MSbar scheme. The structure of the infrared divergences agrees with that predicted by Catani while expressions for the finite remainder are given for the qqbar -> gg and the qg -> qg (gqbar -> gqbar) scattering processes in terms of logarithms and polylogarithms that are real in the physical region. Read More