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A new approach to compute Feynman Integrals is presented. It relies on an integral representation of a given Feynman Integral in terms of simpler ones. Using this approach, we present, for the first time, results for a certain family of…

高能物理 - 唯象学 · 物理学 2020-03-18 Costas G. Papadopoulos , Christopher Wever

We present a fully-exclusive next-to-next-to-leading order (NNLO) QCD calculation for vector boson production in hadron-hadron collisions. The calculation is implemented in a parton level Monte Carlo program, which includes the gamma-Z…

高能物理 - 唯象学 · 物理学 2010-01-25 Giancarlo Ferrera

We compute mixed QCD-electroweak corrections to the fully-differential production of an on-shell $W$ boson. Decays of $W$ bosons to lepton pairs are included in the leading order approximation. The required two-loop virtual corrections are…

We consider QCD radiative corrections to vector-boson production in hadron collisions. We present the next-to-next-to-leading order (NNLO) result of the hard-collinear coefficient function for the all-order resummation of…

高能物理 - 唯象学 · 物理学 2015-06-11 S. Catani , L. Cieri , D. de Florian , G. Ferrera , M. Grazzini

We present analytic results of the two-loop master integrals for hadronic $tW$ production that contain two massive propagators. For the planar integral family, we succeed in constructing the canonical basis, so the results are written in…

高能物理 - 唯象学 · 物理学 2023-02-17 Jian Wang , Yefan Wang

We present the analytic computation of a family of non-planar master integrals which contribute to the two-loop scattering amplitudes for Higgs plus one jet production, with full heavy-quark mass dependence. These are relevant for the NNLO…

高能物理 - 唯象学 · 物理学 2020-02-03 R. Bonciani , V. Del Duca , H. Frellesvig , J. M. Henn , M. Hidding , L. Maestri , F. Moriello , G. Salvatori , V. A. Smirnov

We consider direct diphoton production in hadron collisions, and we compute the next-to-next-to-leading order (NNLO) QCD radiative corrections at the fully-differential level. Our calculation uses the $q_T$ subtraction formalism and it is…

高能物理 - 唯象学 · 物理学 2016-06-27 Stefano Catani , Leandro Cieri , Daniel de Florian , Giancarlo Ferrera , Massimiliano Grazzini

We describe a method to numerically compute multi-loop integrals, depending on one dimensionless parameter $x$ and the dimension $d$, in the whole kinematic range of $x$. The method is based on differential equations, which, however, do not…

高能物理 - 唯象学 · 物理学 2021-10-13 Matteo Fael , Fabian Lange , Kay Schönwald , Matthias Steinhauser

We present the first numerical results for the two-loop helicity amplitudes for the scattering of four partons and a W-boson in QCD. We use a finite field sampling method to reduce directly from Feynman diagrams to the coefficients of a set…

高能物理 - 唯象学 · 物理学 2019-07-01 Heribertus Bayu Hartanto , Simon Badger , Christian Brønnum-Hansen , Tiziano Peraro

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…

We consider the production of a pair of heavy quarks $Q\bar{Q}$ in association with a generic colour singlet system $V$ at lepton colliders, and present the first analytic calculation of the two-loop soft function differential in the total…

高能物理 - 唯象学 · 物理学 2024-11-21 Ze Long Liu , Pier Francesco Monni

Recent developments in the computation of two-loop master integrals for massive Bhabha scattering are briefly reviewed. We apply a method based on expansions of exact Mellin-Barnes representations and evaluate all planar four-point master…

高能物理 - 唯象学 · 物理学 2009-11-11 Stefano Actis , Michal Czakon , Janusz Gluza , Tord Riemann

We evaluate the phase-space integrals that arise in double real emission diagrams for semi-inclusive deep-inelastic scattering at next-to-next-to-leading order (NNLO) in QCD. Utilizing the reverse unitarity technique, we convert these…

A simplified differential equations approach for Master Integrals is presented. It allows to express them, straightforwardly, in terms of Goncharov Polylogarithms. As a proof-of-concept of the proposed method, results at one and two loops…

高能物理 - 唯象学 · 物理学 2017-09-15 Costas G. Papadopoulos

We consider the diphoton production in hadronic collisions at the next-to-next-to-leading order (NNLO) in perturbative QCD, taking into account for the first time the full top quark mass dependence. We present the computation of the…

高能物理 - 唯象学 · 物理学 2023-10-23 Federico Coro

We discuss a practical approach to compute master integrals entering physical quantities which depend on one parameter. As an example we consider four-loop QCD corrections to the relation between a heavy quark mass defined in the…

高能物理 - 唯象学 · 物理学 2021-10-11 Matteo Fael , Fabian Lange , Kay Schönwald , Matthias Steinhauser

We compute squared matrix elements at next-to-next-to-leading order in perturbative quantum chromodynamics for the production of two or three (on- or off-shell) photons mediated via (light or heavy) quark loops. Our method handles all cases…

高能物理 - 唯象学 · 物理学 2025-10-22 Dario Kermanschah , Matilde Vicini

The production of electroweak $Z$ bosons that decay to neutrinos and recoil against jets with large transverse momentum $p_\perp$ is an important background process to searches for dark matter at the Large Hadron Collider (LHC). To fully…

高能物理 - 唯象学 · 物理学 2020-06-24 Hjalte Frellesvig , Kirill Kudashkin , Christopher Wever

We present the analytic calculation of the Master Integrals for the two-loop, non-planar topologies that enter the calculation of the amplitude for top-quark pair hadroproduction in the quark-annihilation channel. Using the method of…

高能物理 - 唯象学 · 物理学 2019-09-04 Matteo Becchetti , Roberto Bonciani , Valerio Casconi , Andrea Ferroglia , Simone Lavacca , Andreas von Manteuffel

We compute a complete set of independent leading-color two-loop five-parton amplitudes in QCD. These constitute a fundamental ingredient for the next-to-next-to-leading order QCD corrections to three-jet production at hadron colliders. We…

高能物理 - 唯象学 · 物理学 2019-04-09 S. Abreu , F. Febres Cordero , H. Ita , B. Page , V. Sotnikov