F. Campanario - University Karlsruhe

F. Campanario
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Name
F. Campanario
Affiliation
University Karlsruhe
City
Karlsruhe
Country
Germany

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High Energy Physics - Phenomenology (50)
 
High Energy Physics - Experiment (28)
 
Nuclear Theory (1)
 
Nuclear Experiment (1)

Publications Authored By F. Campanario

We study WZ production with anomalous couplings at $\bar{n}$NLO QCD using the LoopSim method in combination with the Monte Carlo program VBFNLO. Higher order corrections to WZ production are dominated by additional hard jet radiation. Those contributions are insensitive to anomalous couplings and should thus be removed in analyses. Read More

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, D. Curtin69, M. Dall'Osso70, A. David71, S. Dawson72, J. de Blas73, W. de Boer74, P. de Castro Manzano75, C. Degrande76, R. L. Delgado77, F. Demartin78, A. Denner79, B. Di Micco80, R. Di Nardo81, S. Dittmaier82, A. Dobado83, T. Dorigo84, F. A. Dreyer85, M. Dührssen86, C. Duhr87, F. Dulat88, K. Ecker89, K. Ellis90, U. Ellwanger91, C. Englert92, D. Espriu93, A. Falkowski94, L. Fayard95, R. Feger96, G. Ferrera97, A. Ferroglia98, N. Fidanza99, T. Figy100, M. Flechl101, D. Fontes102, S. Forte103, P. Francavilla104, E. Franco105, R. Frederix106, A. Freitas107, F. F. Freitas108, F. Frensch109, S. Frixione110, B. Fuks111, E. Furlan112, S. Gadatsch113, J. Gao114, Y. Gao115, M. V. Garzelli116, T. Gehrmann117, R. Gerosa118, M. Ghezzi119, D. Ghosh120, S. Gieseke121, D. Gillberg122, G. F. Giudice123, E. W. N. Glover124, F. Goertz125, D. Gonçalves126, J. Gonzalez-Fraile127, M. Gorbahn128, S. Gori129, C. A. Gottardo130, M. Gouzevitch131, P. Govoni132, D. Gray133, M. Grazzini134, N. Greiner135, A. Greljo136, J. Grigo137, A. V. Gritsan138, R. Gröber139, S. Guindon140, H. E. Haber141, C. Han142, T. Han143, R. Harlander144, M. A. Harrendorf145, H. B. Hartanto146, C. Hays147, S. Heinemeyer148, G. Heinrich149, M. Herrero150, F. Herzog151, B. Hespel152, V. Hirschi153, S. Hoeche154, S. Honeywell155, S. J. Huber156, C. Hugonie157, J. Huston158, A. Ilnicka159, G. Isidori160, B. Jäger161, M. Jaquier162, S. P. Jones163, A. Juste164, S. Kallweit165, A. Kaluza166, A. Kardos167, A. Karlberg168, Z. Kassabov169, N. Kauer170, D. I. Kazakov171, M. Kerner172, W. Kilian173, F. Kling174, K. Köneke175, R. Kogler176, R. Konoplich177, S. Kortner178, S. Kraml179, C. Krause180, F. Krauss181, M. Krawczyk182, A. Kulesza183, S. Kuttimalai184, R. Lane185, A. Lazopoulos186, G. Lee187, P. Lenzi188, I. M. Lewis189, Y. Li190, S. Liebler191, J. Lindert192, X. Liu193, Z. Liu194, F. J. Llanes-Estrada195, H. E. Logan196, D. Lopez-Val197, I. Low198, G. Luisoni199, P. Maierhöfer200, E. Maina201, B. Mansoulié202, H. Mantler203, M. Mantoani204, A. C. Marini205, V. I. Martinez Outschoorn206, S. Marzani207, D. Marzocca208, A. Massironi209, K. Mawatari210, J. Mazzitelli211, A. McCarn212, B. Mellado213, K. Melnikov214, S. B. Menari215, L. Merlo216, C. Meyer217, P. Milenovic218, K. Mimasu219, S. Mishima220, B. Mistlberger221, S. -O. Moch222, A. Mohammadi223, P. F. Monni224, G. Montagna225, M. Moreno Llácer226, N. Moretti227, S. Moretti228, L. Motyka229, A. Mück230, M. Mühlleitner231, S. Munir232, P. Musella233, P. Nadolsky234, D. Napoletano235, M. Nebot236, C. Neu237, M. Neubert238, R. Nevzorov239, O. Nicrosini240, J. Nielsen241, K. Nikolopoulos242, J. M. No243, C. O'Brien244, T. Ohl245, C. Oleari246, T. Orimoto247, D. Pagani248, C. E. Pandini249, A. Papaefstathiou250, A. S. Papanastasiou251, G. Passarino252, B. D. Pecjak253, M. Pelliccioni254, G. Perez255, L. Perrozzi256, F. Petriello257, G. Petrucciani258, E. Pianori259, F. Piccinini260, M. Pierini261, A. Pilkington262, S. Plätzer263, T. Plehn264, R. Podskubka265, C. T. Potter266, S. Pozzorini267, K. Prokofiev268, A. Pukhov269, I. Puljak270, M. Queitsch-Maitland271, J. Quevillon272, D. Rathlev273, M. Rauch274, E. Re275, M. N. Rebelo276, D. Rebuzzi277, L. Reina278, C. Reuschle279, J. Reuter280, M. Riembau281, F. Riva282, A. Rizzi283, T. Robens284, R. Röntsch285, J. Rojo286, J. C. Romão287, N. Rompotis288, J. Roskes289, R. Roth290, G. P. Salam291, R. Salerno292, R. Santos293, V. Sanz294, J. J. Sanz-Cillero295, H. Sargsyan296, U. Sarica297, P. Schichtel298, J. Schlenk299, T. Schmidt300, C. Schmitt301, M. Schönherr302, U. Schubert303, M. Schulze304, S. Sekula305, M. Sekulla306, E. Shabalina307, H. S. Shao308, J. Shelton309, C. H. Shepherd-Themistocleous310, S. Y. Shim311, F. Siegert312, A. Signer313, J. P. Silva314, L. Silvestrini315, M. Sjodahl316, P. Slavich317, M. Slawinska318, L. Soffi319, M. Spannowsky320, C. Speckner321, D. M. Sperka322, M. Spira323, O. Stål324, F. Staub325, T. Stebel326, T. Stefaniak327, M. Steinhauser328, I. W. Stewart329, M. J. Strassler330, J. Streicher331, D. M. Strom332, S. Su333, X. Sun334, F. J. Tackmann335, K. Tackmann336, A. M. Teixeira337, R. Teixeira de Lima338, V. Theeuwes339, R. Thorne340, D. Tommasini341, P. Torrielli342, M. Tosi343, F. Tramontano344, Z. Trócsányi345, M. Trott346, I. Tsinikos347, M. Ubiali348, P. Vanlaer349, W. Verkerke350, A. Vicini351, L. Viliani352, E. Vryonidou353, D. Wackeroth354, C. E. M. Wagner355, J. Wang356, S. Wayand357, G. Weiglein358, C. Weiss359, M. Wiesemann360, C. Williams361, J. Winter362, D. Winterbottom363, R. Wolf364, M. Xiao365, L. L. Yang366, R. Yohay367, S. P. Y. Yuen368, G. Zanderighi369, M. Zaro370, D. Zeppenfeld371, R. Ziegler372, T. Zirke373, J. Zupan374
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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 these proceedings, we review results for several di-boson production processes beyond NLO QCD at high transverse momenta using the VBFNLO Monte-Carlo program together with the LOOPSIM method. Additionally, we show for the WZ production process how higher order QCD corrections can resemble anomalous coupling effects. Read More

We study the production of the four-lepton final state $l^+ l^- l^+ l^-$, predominantly produced by a pair of electroweak Z bosons, ZZ. Using the LoopSim method, we merge NLO QCD results for ZZ and ZZ+jet and obtain approximate NNLO predictions for ZZ production. The exact gluon-fusion loop-squared contribution to the ZZ process is also included. Read More

We study QCD radiation for the WH and WZ production processes at the LHC. We identify the regions sensitive to anomalous couplings, by considering jet observables, computed at NLO QCD with the use of the Monte Carlo program VBFNLO. Based on these observations, we propose the use of a dynamical jet veto. Read More

In these proceedings, we present results for Higgs production at the LHC via gluon fusion with triple real emission corrections and the validity range of the heavy-top effective theory approximation for this process. For a general CP-violating Higgs boson, we show that bottom-quark loop corrections in combination with large values of $\tan \beta $ significantly distort differential distributions. Read More

We discuss results for di-boson plus two jets production processes at the LHC at NLO QCD. Issues related to the scale choice are reviewed. We focus on the distributions of the invariant mass and rapidity separation of the two hardest jets and show, for $W^\pm \gamma jj$ and $Z\gamma jj$ production, how the contribution from the radiative decays of the massive gauge bosons can be significantly reduced. Read More

Next-to-leading order QCD corrections to the QCD-induced $pp \rightarrow l^+l^- \gamma j j +X$ and $pp \rightarrow \bar{\nu}_l \nu_l \gamma jj+X$ processes are presented. The latter is used to find an optimal cut to reduce the contribution of radiative photon emission off the charged leptons in the first channel. As expected, the scale uncertainties are significantly reduced at NLO and the QCD corrections are phase space dependent and important for precise measurements at the LHC. Read More

In this talk we discuss the implementation of the full next-to-leading order QCD corrections to electroweak Higgs boson plus three jet production at the LHC within the Matchbox framework of the Herwig++ event generator. We also present numerical results for integrated cross sections and kinematic distributions. Read More

The production of multiple gauge bosons via weak boson fusion is an important process at the LHC. It is relevant as a background process appearing in many searches and measurements, but also serves as a signal process when studying new-physics contributions to triple and in particular quartic gauge boson vertices. We first review the theoretical status of multi-boson production in weak boson fusion and present the current state of the art. Read More

We present the first calculation of next-to-leading order QCD corrections to QCD-induced ZZ production in association with two jets at hadron colliders. Both Z bosons decay leptonically with all off-shell effects, virtual photon contributions and spin-correlation effects fully taken into account. This process is an important background to weak boson scattering, to the measurement of quartic gauge couplings and to searches for signals of new physics beyond the Standard Model. Read More

VBFNLO is a flexible parton level Monte Carlo program for the simulation of vector boson fusion (VBF), double and triple vector boson (plus jet) production as well as QCD-induced single and double vector boson production plus two jets in hadronic collisions at next-to-leading order (NLO) in the strong coupling constant. Furthermore, Higgs boson plus two jet production via gluon fusion at the one-loop level is included. This note briefly describes the main additional features and processes that have been added in the new release -- VBFNLO Version 2. Read More

In high energy hadronic collisions, a general CP-violating Higgs boson $\Phi$ with accompanying jets can be efficiently produced via gluon fusion, which is mediated by heavy quark loops. In this letter we study the dominant sub-channel $ gg \to \Phi ggg$ of the gluon fusion production process with triple real emission corrections at order $\alpha_s^5$. We go beyond the heavy top limit approximation and include the full mass dependence of the top- and bottom-quark contributions. Read More

The QCD-induced $W^\pm \gamma$ production channels in association with two jets are computed at next-to-leading order QCD accuracy. The W bosons decay leptonicly and full off-shell and finite width effects as well as spin correlations are taken into account. These processes are important backgrounds to beyond Standard Model physics searches and also relevant to test the nature of the quartic gauge couplings of the Standard Model. Read More

KLOE and Babar have an observed discrepancy of 2% to 5% in the invariant pion pair production cross section. These measurements are based on approximate NLO $ \mu^+ \mu^- \gamma $ cross section predictions of the Monte Carlo event generator PHOKHARA7.0. Read More

We present a study of $W^+W^+jj$ and $W^-W^-jj$ production including leptonic decays in hadron-hadron collisions. The full electroweak and QCD induced contributions and their interferences are calculated at leading order. We find that, for inclusive cuts, the interference effects can be large if the jets are produced with large transverse momentum where, however, the production rate is suppressed. Read More

The implementation of the full next-to-leading order (NLO) QCD corrections to electroweak Higgs boson plus three jet production at hadron colliders such as the LHC within the Matchbox NLO framework of the Herwig++ event generator is discussed. We present numerical results for integrated cross sections and kinematic distributions. Read More

We present a summary of the first calculation of NLO QCD corrections to WZjj production with leptonic decays at the LHC. Our results show that the next-to-leading order corrections reduce significantly the scale uncertainties. Read More

The next-to-leading order QCD corrections to W gamma production in association with two jets via vector boson fusion are calculated, including the leptonic decay of the W with full off-shell effects and spin correlations. The process lends itself to a test of quartic gauge couplings. The next-to-leading order corrections reduce the scale uncertainty significantly and show a non-trivial phase space dependence. Read More

Pair production of W gauge bosons is an important process at the LHC entering many experimental analyses, both as background in new-physics searches or Higgs measurements and as signal in precision studies and tests of the Standard Model. Therefore, accurate predictions for this class of processes are of great interest in order to exploit the full potential of LHC measurements. We use the LoopSim method to combine NLO QCD results for WW and WW+jet, as well as the loop-squared gluon-fusion contribution, to obtain approximate NNLO predictions for WW production. Read More

We calculate next-to-leading order (NLO) QCD corrections to electroweak Higgs plus three jet production. Both vector boson fusion (VBF) and Higgs-strahlung type contributions are included along with all interferences. The calculation is implemented within the Matchbox NLO framework of the Herwig++ event generator. Read More

The status of di-boson and tri-boson production is shortly review. Using the VBFNLO and the LOOPSIM package, approximated results at NNLO QCD are given for WZ production. Results for waa + jet at NLO QCD are also shown. Read More

Higgs production in association with three jets via gluon fusion (GF) is an important channel for the measurement of the CP-properties of the Higgs particle at the LHC. In this letter, we go beyond the heavy top effective theory approximation and include at LO the full mass dependence of the top- and bottom-quark contributions. We consider the dominant sub-channel gg -> H ggg which involves the manipulation of massive rank-5 hexagon integrals. Read More

We report on the calculation of $W^\pm Zjj$ production with leptonic decays at hadron-hadron colliders at next-to-leading order in QCD. These processes are important both to test the quartic gauge couplings of the Standard Model and because they constitute relevant backgrounds to beyond standard model physics searches. Our results show that the next-to-leading order corrections reduce significantly the scale uncertainties and have a non-trivial phase space dependence. Read More

Pair production of Z bosons in association with a hard jet is an important background for Higgs particle or new physics searches at the LHC. The loop-induced gluon-fusion process gg > ZZg contributes formally only at the next-to-next-to-leading order. Nevertheless, it can get enhanced by the large gluon flux at the LHC, and thus should be taken into account in relevant experimental searches. Read More

We use the LoopSim and VBFNLO packages to investigate a merged sample of partonic events that is accurate at NLO in QCD simultaneously for the WZ and WZ+jet production processes. In certain regions of phase space such a procedure is expected to account for the dominant part of the NNLO QCD corrections to the WZ production process. For a number of commonly used experimental observables, we find that these corrections are substantial, in the 30-100% range, and in some cases their inclusion can reduce scale uncertainties by a factor of two. Read More

Vbfnlo is a flexible parton level Monte Carlo program for the simulation of vector boson fusion (VBF), double and triple vector boson (plus jet) production in hadronic collisions at next-to-leading order (NLO) in the strong coupling constant, as well as Higgs boson plus two jet production via gluon fusion at the one-loop level. This note briefly describes the main additional features and processes that have been added in the new release -- Vbfnlo Version 2.6. Read More

We present recent results in precision multiboson (+jet) phenomenology at the LHC. Results for diboson + jet, triboson, and also for WAA + jet will be discussed focusing on the impact of the perturbative corrections on the expected phenomenology. Read More

The 2011 Les Houches workshop was the first to confront LHC data. In the two years since the previous workshop there have been significant advances in both soft and hard QCD, particularly in the areas of multi-leg NLO calculations, the inclusion of those NLO calculations into parton shower Monte Carlos, and the tuning of the non-perturbative parameters of those Monte Carlos. These proceedings describe the theoretical advances that have taken place, the impact of the early LHC data, and the areas for future development. Read More

We review recent results in precision multiboson+jet phenomenology at the LHC. We discuss strategies how to compute these processes at NLO QCD and examine the impact of the perturbative corrections on the expected phenomenology, especially in the context of anomalous gauge boson couplings searches. Read More

VBFNLO is a flexible parton level Monte Carlo program for the simulation of vector boson fusion (VBF), QCD induced single and double vector boson production plus two jets, and double and triple vector boson production (plus jet) in hadronic collisions at next-to-leading order (NLO) in the strong coupling constant, as well as Higgs boson plus two jet production via gluon fusion at the one-loop level. For the new version -- Version 2.7. Read More

We present a calculation of the O(alpha_s) QCD corrections to the production of a Z boson in association with two photons and to triple photon production at hadron colliders. All final-state photons are taken as real. For the Z boson, we consider the decays both into charged leptons and into neutrinos including all off-shell effects. Read More

In this letter we report on a calculation of W gamma gamma + jet production at next-to-leading order QCD. We include the leptonic decays of the W and take into account all off-shell and finite width effects. This is the first computation which falls into the category of triboson+jet production at next-to-leading order QCD. Read More

In this work, some of the NLO QCD corrections for pp -> VVjj + X are presented. A program in Mathematica based on the structure of FeynCalc which automatically simplifies a set of amplitudes up to the hexagon level of rank 5 has been created for this purpose. We focus on two different topologies. Read More

The computation of the NLO-QCD corrections to the cross sections for W \gamma \gamma production in hadronic collisions is presented. We consider the case of real photons in the final state, but include full leptonic decays of the W. Numerical results for the LHC and the Tevatron are obtained through a parton level Monte Carlo based on the structure of the VBFNLO program, allowing an easy implementation of general cuts and distributions. Read More

In high energy hadronic collisions a scalar or pseudoscalar Higgs boson, Phi=H,A, can be efficiently produced via gluon fusion, which is mediated by heavy quark loops. We here consider double real emission corrections to Phi=A production, which lead to a Higgs plus two-jet final state, at order alpha_s^4. Full quark mass effects are considered in the calculation of scattering amplitudes for the CP-odd Higgs boson A, as induced by quark triangle-, box- and pentagon-diagrams. Read More

We present a computation of the O(alpha_s) QCD corrections to W^\pm Z \gamma production at the Large Hadron Collider. The photon is considered as real, and we include full leptonic decays for the W and Z bosons. Based on the structure of the VBFNLO program package, we obtain numerical results through a fully flexible Monte Carlo program, which allows to implement general cuts and distributions of the final-state particles. Read More

We report on a detailed investigation of the next-to-leading order (NLO) QCD corrections to $W\gamma$+jet production at the Tevatron and the LHC using a fully-flexible parton-level Monte Carlo program. We include the full leptonic decay of the $W$, taking into account all off-shell and finite width effects, as well as non-standard $WW\gamma$ couplings. We find particularly sizable corrections for the currently allowed parameter range of anomalous couplings imposed by LEP data. Read More

We discuss the impact of anomalous WW$\gamma$ and WWZ couplings on WZ+jet production at next-to-leading order QCD, including full leptonic decays of the electroweak gauge bosons. While the inclusive hadronic cross sections do not exhibit any particular sensitivity to anomalous couplings once the residual QCD scale uncertainties are taken into account, the transverse momentum distributions show substantial deviations from the Standard Model, provided that the anomalous vertices are probed at large enough momentum transfers. Read More

We compute the next-to-leading order QCD corrections to WZ+jet production at the Tevatron and the LHC, including decays of the electroweak bosons to light leptons with all off-shell effects taken into account. The corrections are sizable and have significant impact on the differential distributions. Read More

The VBFNLO program package is a collection of Monte Carlo programs for the calculation of NLO QCD corrections to vector boson fusion cross sections, double and triple vector boson production, or the production of two electroweak bosons in association with an additional jet. An overview is given of the processes and features implemented in VBFNLO. WWgamma and Wgamma jet production are discussed as examples. Read More

The computation of the NLO QCD corrections to the cross sections for W+W- gamma and ZZgamma production in hadronic collisions is presented. We consider the case of a real photon in the final state, but include full leptonic decays of the W and Z bosons. Numerical results for the LHC and the Tevatron are obtained through a fully flexible parton level Monte Carlo based on the structure of the VBFNLO program, allowing an easy implementation of arbitrary cuts and distributions. Read More

We calculate the $W^\pm\gamma j + X$-production cross sections at next-to-leading order QCD for Tevatron and LHC collisions. We include leptonic decays of the $W$ to light leptons, with all off-shell effects taken into account. The corrections are sizable and have significant impact on the differential distributions. Read More

VBFNLO is a fully flexible parton level Monte Carlo program for the simulation of vector boson fusion, double and triple vector boson production in hadronic collisions at next-to-leading order in the strong coupling constant. VBFNLO includes Higgs and vector boson decays with full spin correlations and all off-shell effects. In addition, VBFNLO implements CP-even and CP-odd Higgs boson via gluon fusion, associated with two jets, at the leading-order one-loop level with the full top- and bottom-quark mass dependence in a generic two-Higgs-doublet model. Read More

We investigate the behaviour of the perturbative relation between the photon energy spectrum in B -> Xs gamma and the hadronic P+ spectrum in semileptonic B -> Xu l nu decay at high orders in perturbation theory in the "large-beta_0" limit, in which only terms of order alpha_s^n beta_0^(n-1) are retained. The leading renormalon in the weight function W(Delta,P_gamma) relating the two spectra is confirmed to be at u=1/2, corresponding to nonperturbative corrections at O(Lambda_QCD/m_b). We show that the P_gamma dependent pieces of the weight function have no infrared renormalons in this limit, and so the factorial growth in perturbation theory arises solely from the constant terms. Read More

We compute the O(alpha_s) QCD corrections to charged triple vector boson production at a hadron collider, i.e. the processes pp -> ZZW + X and pp -> WWW + X. Read More

We study the large order behaviour in perturbation theory of the Bjorken, Ellis-Jaffe and Gross-Llewellyn-Smith sum rules. In particular, we consider their first infrared renormalons, for which we obtain their analytic structure with logarithmic accuracy and also an approximate determination of their normalization constant. Estimates of higher order terms of the perturbative series are given. Read More

Using soft-collinear effective theory (SCET), we examine the 1/m_b corrections to the factorization formulas for inclusive semi-leptonic B decays in the endpoint region, where the hadronic final state consists of a single jet. At tree level, we find a new contribution from four-quark operators that was previously assumed absent. Beyond tree level many sub-leading shape-functions are needed to correctly describe the decay process. Read More

We investigate the structure of the leading IR renormalon singularity in the QCD/HQET matching coefficients for heavy-light quark currents beyond the large-\beta_0 limit. From this result, we derive the large-order behaviour of the perturbative series for these coefficients, and for ratios of meson matrix elements, such as f_{B^*}/f_B. Read More

Reparametrization invariance is the invariance of the heavy mass limit under small changes of the heavy-quark four velocity. We discuss the implications of this invariance for non-local light cone operators, the matrix elements of which are relevant for the leading and subleading shape functions describing differential rates for inclusive heavy-to-light transitions. Read More