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Related papers: On the massive two-loop corrections to Bhabha scat…

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We compute the master integrals for massless two-loop vertex graphs with three off-shell legs. These master integrals are relevant for the QCD corrections to H to V*V* (where V = W, Z) and for two-loop studies of the triple gluon (and…

High Energy Physics - Phenomenology · Physics 2008-11-26 T. G. Birthwright , E. W. N. Glover , P. Marquard

We present a treatment of the next-to-leading-order radiative corrections to unpolarized Moller and Bhabha scattering without resorting to ultra-relativistic approximations. We extend existing soft-photon radiative corrections with new…

Nuclear Experiment · Physics 2016-08-17 Charles S. Epstein , Richard G. Milner

We describe the calculation of all planar master integrals that are needed for the computation of NNLO QCD corrections to the production of two off-shell vector bosons in hadron collisions. The most complicated representatives of integrals…

High Energy Physics - Phenomenology · Physics 2015-06-18 Johannes M. Henn , Kirill Melnikov , Vladimir A. Smirnov

We present the analytic evaluation of the second-order corrections to the massive form factors, due to two-loop vertex diagrams with a vacuum polarization insertion, with exact dependence on the external and internal fermion masses, and on…

High Energy Physics - Phenomenology · Physics 2024-01-24 Taushif Ahmed , Giulio Crisanti , Federico Gasparotto , Syed Mehedi Hasan , Pierpaolo Mastrolia

We compute the master integrals that arise in the calculation of the leading penguin amplitudes in non-leptonic B-decays at two-loop order. The application of differential equations in a canonical basis enables us to give analytic results…

High Energy Physics - Phenomenology · Physics 2015-06-23 Guido Bell , Tobias Huber

We compute the two-loop crossed six-line vertex master integral with two massive lines in dimensional regularisation, and give the result up to the finite part in D-4. We focus in particular on the purely analytical calculation of the…

High Energy Physics - Phenomenology · Physics 2009-03-27 T. Huber

We present numerical results which are needed to evaluate all non-trivial master integrals for four-loop massless propagators, confirming the recent analytic results of[1]and evaluating an extra order in $\ep$ expansion for each master…

High Energy Physics - Phenomenology · Physics 2014-11-20 A. V. Smirnov , M. Tentyukov

At variance with fully inclusive quantities, which have been computed already at the two- or three-loop level, most exclusive observables are still known only at one-loop, as further progress was hampered so far by the greater computational…

High Energy Physics - Phenomenology · Physics 2009-10-31 T. Gehrmann , E. Remiddi

We carry out the first complete calculation of kinematic power corrections $\sim t/Q^2$ and $\sim m^2/Q^2$ to several key observables in Deeply Virtual Compton Scattering. The issue of convention dependence of the leading twist…

High Energy Physics - Phenomenology · Physics 2014-04-23 Vladimir M. Braun , Alexander N. Manashov , Dieter Mueller , Bjoern M. Pirnay

With the increasing experimental precision available at colliders, higher-order perturbative calculations are required to reduce the theory uncertainty in order to extract crucial QCD parameters, such as the strong coupling constant, to the…

High Energy Physics - Phenomenology · Physics 2022-08-15 Marco Saragnese

We demonstrate that the use of on-shell methods involving calculation of the discontinuity across the t-channel cut associated with the exchange of a pair of massless particles can be used to evaluate loop contributions to the…

High Energy Physics - Phenomenology · Physics 2016-11-10 Barry R. Holstein

We propose a novel method to compute multi-loop master integrals by constructing and numerically solving a system of ordinary differential equations, with almost trivial boundary conditions. Thus it can be systematically applied to problems…

High Energy Physics - Phenomenology · Physics 2018-02-28 Xiao Liu , Yan-Qing Ma , Chen-Yu Wang

A critical subject in fully differential QED calculations originates from numerical instabilities due to small fermion masses that act as regulators of collinear singularities. At next-to-next-to-leading order (NNLO) a major challenge is…

High Energy Physics - Phenomenology · Physics 2021-08-03 Pulak Banerjee , Tim Engel , Nicolas Schalch , Adrian Signer , Yannick Ulrich

We determine the master integrals for vertex and propagator diagrams that appear in effective field theories containing heavy fields. The integrals involve at least one heavy line, and the standard lines include an arbitrary mass scale. The…

High Energy Physics - Phenomenology · Physics 2022-01-19 B. Assi , B. A. Kniehl , A. I. Onishchenko

This is a short review of recent developments in calculation of higher order corrections to various two-point correlators and related quantities in (massless) QCD.

High Energy Physics - Phenomenology · Physics 2015-01-28 P. A. Baikov , K. G. Chetyrkin , J. H. Kühn

Recent results for higher-order corrections to the relation between the vector-boson masses in the Standard Model and Supersymmetry are summarized. In the Standard Model, the Higgs-mass dependence of the two-loop contributions to Delta r is…

High Energy Physics - Phenomenology · Physics 2011-03-17 G. Weiglein

With the advent of generalized unitarity and parametric integration techniques, the construction of a generic Next-to-Leading Order Monte Carlo becomes feasible. Such a generator will entail the treatment of QCD color in the amplitudes. We…

High Energy Physics - Phenomenology · Physics 2014-11-20 Walter Giele , Zoltan Kunszt , Jan Winter

We describe the twist-2 contributions to inclusive unpolarized and polarized deep-inelastic diffractive scattering in an operator approach. The representation refers to the observed large rapidity gap but does not require reference to a…

High Energy Physics - Phenomenology · Physics 2007-06-19 J. Blümlein , B. Geyer , D. Robaschik

We present the results of our calculations to a one, two, and three loop approximation of the e$^+$e$^-$$\rightarrow$e$^+$e$^-$ Bhabha scattering cross-section at small angles. All terms contributing to the radiatively corrected…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. Arbuzov , V. Fadin , E. Kuraev , L. Lipatov , N. Merenkov , L. Trentadue

We present analytic results for the two tennis-court integral families relevant to $2\to2$ scattering processes involving one massive external particle and massless propagators in terms of Goncharov polylogarithms of up to transcendental…

High Energy Physics - Phenomenology · Physics 2022-05-11 Dhimiter D. Canko , Nikolaos Syrrakos