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We compute the one-loop corrections to \tth up to order $\mathcal{O}(\epsilon^2)$ in the dimensional regularization parameter. We apply the projector method to compute polarized amplitudes, which generalize massless helicity amplitudes to…

高能物理 - 唯象学 · 物理学 2023-12-18 Federico Buccioni , Philipp Alexander Kreer , Xiao Liu , Lorenzo Tancredi

We compute the differential equations for the two remaining integral topologies contributing to the leading colour two-loop amplitudes for $pp \rightarrow t\bar{t}j$. We derive differential equations for the master integrals by solving the…

高能物理 - 唯象学 · 物理学 2024-05-01 Simon Badger , Matteo Becchetti , Nicolò Giraudo , Simone Zoia

We describe the application of a novel approach for the reduction of scattering amplitudes, based on multivariate polynomial division, which we have recently presented. This technique yields the complete integrand decomposition for…

高能物理 - 唯象学 · 物理学 2013-07-17 Pierpaolo Mastrolia , Edoardo Mirabella , Giovanni Ossola , Tiziano Peraro

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 compute the two-loop corrections to the coefficient of the b --> s gamma magnetic penguin present in the limits of heavy top and/or heavy higgs. This kind of corrections affects in a significant way the observables measured at LEP. On…

高能物理 - 唯象学 · 物理学 2009-10-09 A. Strumia

We present a semi-numerical algorithm to calculate one-loop virtual corrections to scattering amplitudes. The divergences of the loop amplitudes are regulated using dimensional regularization. We treat in detail the case of amplitudes with…

高能物理 - 唯象学 · 物理学 2008-11-26 R. K. Ellis , W. T. Giele , G. Zanderighi

We present for the first time the second-order corrections of pseudo-scalar($A$) Higgs decay to three parton to higher orders in the dimensional regulator. We compute the one and two-loop amplitudes for processes, $A\to ggg$ and $A\to…

高能物理 - 唯象学 · 物理学 2026-01-30 Pulak Banerjee , Chinmoy Dey , M. C. Kumar , V. Ravindran

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 study an alternative to dimensional regularisation of planar scattering amplitudes in N=4 super Yang-Mills theory by going to the Coulomb phase of the theory. The infrared divergences are regulated by masses obtained from a Higgs…

高能物理 - 理论 · 物理学 2011-01-24 Luis F. Alday , Johannes M. Henn , Jan Plefka , Theodor Schuster

We discuss algebraic/numeric methods to compute one-loop corrections for multiparticle/jet production cross sections. By using efficient reduction algorithms a compact expression for the ggg\gamma\gamma -> 0 amplitude is obtained. Further a…

高能物理 - 唯象学 · 物理学 2009-11-10 T. Binoth

We consider top-quark mass effects in the Higgs-interference contribution to $Z$-boson pair production in gluon fusion. While this production mechanism is formally of next-to-next-to leading order, its contribution is numerically important…

高能物理 - 唯象学 · 物理学 2019-12-12 Ramona Gröber , Andreas Maier , Thomas Rauh

We present an optimization of the reduction algorithm of one-loop amplitudes in terms of master integrals. It is based on the exploitation of the polynomial structure of the integrand when evaluated at values of the loop-momentum fulfilling…

高能物理 - 唯象学 · 物理学 2008-11-26 P. Mastrolia , G. Ossola , C. G. Papadopoulos , R. Pittau

We calculate analytically the three-loop planar master integrals relevant for heavy-to-light form factors using the method of differential equations. After choosing a proper canonical basis, the boundary conditions are easy to be…

高能物理 - 唯象学 · 物理学 2018-10-24 Long-Bin Chen , Jian Wang

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…

高能物理 - 唯象学 · 物理学 2022-08-15 Marco Saragnese

We compute the two-loop master integrals for non-leptonic heavy-to-heavy decays analytically in a recently-proposed canonical basis. For this genuine two-loop, two-scale problem we first derive a basis for the master integrals that…

高能物理 - 唯象学 · 物理学 2015-05-20 Tobias Huber , Susanne Krankl

We present the analytic calculation of the Master Integrals necessary to compute the planar massive QCD corrections to Di-photon (and Di-jet) production at hadron colliders. The masters are evaluated by means of the differential equations…

高能物理 - 唯象学 · 物理学 2018-02-14 Matteo Becchetti , Roberto Bonciani

In these proceedings, we summarise our recent calculations of next-to-leading order electroweak corrections to Higgs boson pair and Higgs boson plus jet production. The calculations are divided into different regions. In the high-energy…

高能物理 - 唯象学 · 物理学 2023-10-24 Hantian Zhang

We revisit the hadronic production of the four-lepton final state, e^- e^+ \mu^- \mu^+, through the fusion of initial state gluons. This process is mediated by loops of quarks and we provide first full analytic results for helicity…

高能物理 - 唯象学 · 物理学 2015-06-17 John M. Campbell , R. Keith Ellis , Ciaran Williams

We present the computation of a full set of planar five-point two-loop master integrals with one external mass. These integrals are an important ingredient for two-loop scattering amplitudes for two-jet-associated W-boson production at…

高能物理 - 唯象学 · 物理学 2020-12-30 S. Abreu , H. Ita , F. Moriello , B. Page , W. Tschernow , M. Zeng

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…

高能物理 - 唯象学 · 物理学 2008-11-26 T. G. Birthwright , E. W. N. Glover , P. Marquard