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相关论文: Two-loop planar master integrals for the productio…

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We consider QCD radiative corrections to the production of W and Z bosons in hadron collisions. We present a fully exclusive calculation up to next-to-next-to-leading order (NNLO) in QCD perturbation theory. To perform this NNLO…

高能物理 - 唯象学 · 物理学 2009-09-02 S. Catani , L. Cieri , G. Ferrera , D. de Florian , M. Grazzini

We calculate the one-loop QCD corrections for the decay of an off-shell vector boson with vector couplings into two pairs of quarks of equal or unequal flavours keeping all orders in the number of colours. These matrix elements are relevant…

高能物理 - 唯象学 · 物理学 2008-11-26 E. W. N. Glover , D. J. Miller

By employing the method of differential equations, we compute the various types of two-loop master integrals involved in CP-even heavy quarkonium exclusive production and decays. All the integrals presented in this paper can be casted into…

高能物理 - 唯象学 · 物理学 2017-06-28 Long-Bin Chen , Yi Liang , Cong-Feng Qiao

We present the calculation of the three distinct non-planar hexa-box topologies for five-point one-mass processes. These three topologies are required to obtain the two-loop virtual QCD corrections for two-jet-associated W, Z or Higgs-boson…

高能物理 - 唯象学 · 物理学 2022-04-13 Samuel Abreu , Harald Ita , Ben Page , Wladimir Tschernow

We calculate the unpolarized and polarized two--loop massless off--shell operator matrix elements in QCD to $O(\varepsilon)$ in the dimensional parameter in an automated way. Here we use the method of arbitrary high Mellin moments and…

高能物理 - 唯象学 · 物理学 2022-05-04 J. Blümlein , P. Marquard , C. Schneider , K. Schönwald

We evaluate the master integrals for the two-loop non-planar box-diagrams contributing to the elastic scattering of muons and electrons at next-to-next-to-leading order in QED. We adopt the method of differential equations and the Magnus…

高能物理 - 唯象学 · 物理学 2018-09-17 Stefano Di Vita , Stefano Laporta , Pierpaolo Mastrolia , Amedeo Primo , Ulrich Schubert

Two-loop multi-leg form factors in off-shell kinematics require knowledge of planar and nonplanar double box Feynman diagrams with massless internal propagators. These are complicated functions of Mandelstam variables and external particle…

高能物理 - 理论 · 物理学 2024-02-29 A. V. Belitsky , V. A. Smirnov

We present analytical results for one-loop five-point master integrals with up to three off-shell legs. The method of canonical differential equations along with the Simplified Differential Equations approach is employed. All necessary…

高能物理 - 唯象学 · 物理学 2021-10-18 Dhimiter D. Canko , Costas G. Papadopoulos , Nikolaos Syrrakos

We compute the two-loop master integrals for leading-color QCD scattering amplitudes including a closed light-quark loop in $t\bar{t}H$ production at hadron colliders. Exploiting numerical evaluations in modular arithmetic, we construct a…

高能物理 - 唯象学 · 物理学 2024-07-18 F. Febres Cordero , G. Figueiredo , M. Kraus , B. Page , L. Reina

Using the parallel/orthogonal space method, we calculate the planar two-loop three-point diagram and two rotated reduced planar two-loop three-point diagrams. Together with the crossed topology, these diagrams are the most complicated ones…

高能物理 - 唯象学 · 物理学 2009-01-07 Stefan Groote , Markus M. Knodel

Knowledge of two-loop QCD amplitudes for processes $q\bar q \to V_1 V_2 \to (l_1\bar l'_1)(l_2 \bar l'_2)$ is important for improving the theoretical description of four-lepton production in hadron collisions. In this paper we compute these…

高能物理 - 唯象学 · 物理学 2015-06-22 Fabrizio Caola , Johannes M. Henn , Kirill Melnikov , Alexander V. Smirnov , Vladimir A. Smirnov

By employing the differential equations, we compute analytically the elliptic sectors of two-loop master integrals appearing in the NNLO QCD corrections to CP-even heavy quarkonium exclusive production and decays, which turns out to be the…

高能物理 - 唯象学 · 物理学 2018-05-23 Long-Bin Chen , Jun Jiang , Cong-Feng Qiao

We compute two-loop electroweak corrections to double Higgs boson production in gluon fusion mediated by light quarks in a fully analytical way. We determine a basis of master integrals satisfying canonical differential equations in…

高能物理 - 唯象学 · 物理学 2025-06-03 Marco Bonetti , Philipp Rendler , William J. Torres Bobadilla

We present results of a computation of NLO QCD corrections to the production of an off-shell top--antitop pair in association with an off-shell $\text{W}^+$ boson in proton--proton collisions. As the calculation is based on the full matrix…

高能物理 - 唯象学 · 物理学 2021-05-21 Ansgar Denner , Giovanni Pelliccioli

We compute the one-loop QCD amplitudes for the decay of an off-shell vector boson with vector couplings into a quark-antiquark pair accompanied by two gluons keeping, for the first time, all orders in the number of colours. Together with…

高能物理 - 唯象学 · 物理学 2008-11-26 J. M. Campbell , E. W. N. Glover , D. J. Miller

We present the analytic computation of all the planar master integrals which contribute to the two-loop scattering amplitudes for Higgs$\to 3$ partons, with full heavy-quark mass dependence. These are relevant for the NNLO corrections to…

We compute the master integrals for two-loop QCD corrections to quasi parton distribution functions (PDFs) in large momentum effective theory. Analytical results of the master integrals are derived using the method of differential…

高能物理 - 唯象学 · 物理学 2020-10-28 Long-Bin Chen , Wei Wang , Ruilin Zhu

We present the Master Integrals needed for the calculation of the two-loop QCD corrections to the forward-backward asymmetry of a quark-antiquark pair produced in electron-positron annihilation events. The abelian diagrams entering in the…

高能物理 - 唯象学 · 物理学 2009-11-10 R. Bonciani , P. Mastrolia , E. Remiddi

We compute the eighth-order fermionic corrections involving two and three closed massless fermion loops to the anomalous magnetic moment of the muon. The required four-loop on-shell integrals are classified and explicit analytical results…

高能物理 - 唯象学 · 物理学 2015-06-12 Roman Lee , Peter Marquard , Alexander V. Smirnov , Vladimir A. Smirnov , Matthias Steinhauser

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…

高能物理 - 唯象学 · 物理学 2011-03-18 Charalampos Anastasiou , Franz Herzog , Achilleas Lazopoulos