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We present a leading colour computation of the double virtual contributions to top-quark pair production in association with a jet at a hadron collider at next-to-next-to-leading order in QCD. The finite remainders of the two-loop…

High Energy Physics - Phenomenology · Physics 2026-05-15 Simon Badger , Matteo Becchetti , Colomba Brancaccio , Michał Czakon , Heribertus Bayu Hartanto , Rene Poncelet , Simone Zoia

We present a new method for computing multi-loop scattering amplitudes in Quantum Field Theory. It extends the Generalized Unitarity method by constraining not only the integrand of the amplitude but also its full integrated form. Our…

High Energy Physics - Theory · Physics 2025-12-18 Piotr Bargiela

We discuss one-loop five-parton amplitudes with two-quark two-photon or three-photon external legs. The amplitudes are required to evaluate the NLO corrections for the $\gamma\gamma jet$ production process at hadron colliders. The results…

High Energy Physics - Phenomenology · Physics 2009-11-07 Yoshiaki Yasui

We calculate the two-loop heavy quarkonium Hamiltonian within potential-NRQCD effective field theory in the non-annihilation channel. This calculation represents the first non-trivial step towards determining the N$^4$LO Hamiltonian in the…

High Energy Physics - Phenomenology · Physics 2024-11-15 Go Mishima , Yukinari Sumino , Hiromasa Takaura

We present the first results on the two-loop massless QCD corrections to the four-point amplitude $b+\overline{b} \rightarrow H+H$ in the five flavor scheme, treating bottom quarks as massless. This amplitude is sensitive to the trilinear…

High Energy Physics - Phenomenology · Physics 2019-06-03 Ajjath A H , Pulak Banerjee , Amlan Chakraborty , Prasanna K. Dhani , Pooja Mukherjee , Narayan Rana , V. Ravindran

In this paper, we show how to calculate analytically the one-loop helicity amplitudes for the process $q\bar{q} rightarrow t\bar{t}$ induced by KK gluon, using the spinor-helicity formalism. A minimal set of Feynman rules which are uniquely…

High Energy Physics - Phenomenology · Physics 2011-09-15 Hua Xing Zhu , Chong Sheng Li , Liang Dai , Jun Gao , Jian Wang , C. -P. Yuan

We compute next-to-leading order QCD corrections to the top-bottom interference contribution to H+j production at the LHC. To achieve this, we combine the recent computation of the two-loop amplitudes for gg -> Hg and qg -> Hq, performed in…

High Energy Physics - Phenomenology · Physics 2017-06-28 Jonas M. Lindert , Kirill Melnikov , Lorenzo Tancredi , Chris Wever

Processes involving electroweak vector bosons in association with jets are crucial for precision studies of the Standard Model at the Large Hadron Collider. Accurate predictions for the process $pp\rightarrow V(\rightarrow\bar\ell\ell)jj$…

High Energy Physics - Phenomenology · Physics 2024-09-25 Giuseppe De Laurentis

A powerful tool for calculations in non-Abelian gauge theories is obtained by combining the background field gauge, the helicity basis and the color decomposition methods. It has reproduced the one-loop calculation of the five-gluon…

High Energy Physics - Phenomenology · Physics 2009-10-31 Yoshiaki Yasui

We propose a compact analytic expression for the polylogarithmic part of the n-point two-loop all-plus helicity amplitude in gauge theory.

High Energy Physics - Theory · Physics 2016-07-20 David C. Dunbar , Guy R. Jehu , Warren B. Perkins

In this talk we discuss recent progress concerning precise predictions for the LHC. We give a status report of three applications of our method to deal with multi-leg one-loop amplitudes: The interference term of Higgs production by gluon-…

High Energy Physics - Phenomenology · Physics 2009-04-14 T. Binoth , T. Reiter , J. R. Andersen , G. Heinrich , J. M. Smillie , J. -Ph. Guillet , G. Sanguinetti , S. Karg , N. Kauer

We discuss the calculation of two-loop helicity amplitudes for quark-quark scattering in QCD and four-gluino scattering in N=1 supersymmetric Yang-Mills theory. We study the dependence of the results on different variants of dimensional…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. De Freitas , Z. Bern

An analytical expression for the three-loop form factors for $ggH$ and $\gamma\gamma H$ is derived for the contributions which involve massless quark loops. The result is expressed in terms of harmonic polylogarithms. It fully agrees with…

High Energy Physics - Phenomenology · Physics 2020-07-23 Robert V. Harlander , Mario Prausa , Johann Usovitsch

In this proceedings we briefly report on the state-of-the-art NLO QCD computation for the $pp\to t\bar{t}\gamma$ process in the di-lepton channel. We describe higher-order corrections to the $e^+\nu_e \, \mu^- \bar{\nu}_\mu \,…

High Energy Physics - Phenomenology · Physics 2021-01-20 Malgorzata Worek

We present the two-loop helicity amplitudes for the scattering of two gluons into two gluons in QCD, which are relevant for next-to-next-to-leading order corrections to jet production at hadron colliders. We give the results in the `t…

High Energy Physics - Phenomenology · Physics 2010-04-06 Zvi Bern , Abilio De Freitas , Lance Dixon

We present details of the calculation of the $pp\to W(\to l\nu) \gamma$ process at next-to-next-to-leading order in QCD, calculated using the jettiness slicing method. The calculation is based entirely on analytic amplitudes. Because of the…

High Energy Physics - Phenomenology · Physics 2021-09-16 John M. Campbell , Giuseppe De Laurentis , R. Keith Ellis , Satyajit Seth

We calculate $O(\alpha_s)$ corrections to inclusive and isolated double prompt photon production, both for the unpolarized case, and for longitudinal polarization of the incoming hadrons. The calculation is performed using purely analytical…

High Energy Physics - Phenomenology · Physics 2014-11-17 Claudio Coriano' , Lionel E. Gordon

We report on the calculation of the two-loop penguin amplitudes in non-leptonic B decays in the framework of QCD factorization. We discuss the computation of this genuine two-loop, two-scale problem and provide details on the matching from…

High Energy Physics - Phenomenology · Physics 2019-12-19 Guido Bell , Martin Beneke , Tobias Huber , Xin-Qiang Li

We present the leading-color two-loop QCD corrections for the scattering of four partons and a $W$ boson, including its leptonic decay. The amplitudes are assembled from the planar two-loop helicity amplitudes for four partons and a vector…

High Energy Physics - Phenomenology · Physics 2022-04-12 S. Abreu , F. Febres Cordero , H. Ita , M. Klinkert , B. Page , V. Sotnikov

We present a compact analytic expression for the leading colour two-loop five-gluon amplitude in Yang-Mills theory with a single negative helicity and four positive helicities. The analytic result is reconstructed from numerical evaluations…

High Energy Physics - Phenomenology · Physics 2019-02-20 Simon Badger , Christian Brønnum-Hansen , Heribertus Bayu Hartanto , Tiziano Peraro