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We present the first computation of the complete two-loop, fully-differential soft function describing the production of a heavy-quark pair in association with a color-singlet system at hadron colliders. This result constitutes one of the…

High Energy Physics - Phenomenology · Physics 2025-12-01 Ze Long Liu , Pier Francesco Monni

We present the first calculation of the next-to-next-to-leading order threshold soft function for top quark pair production at hadron colliders, with full velocity dependence of the massive top quarks. Our results are fully analytic, and…

High Energy Physics - Phenomenology · Physics 2018-07-04 Guoxing Wang , Xiaofeng Xu , Li Lin Yang , Hua Xing Zhu

The transverse-momentum-dependent (TMD) soft function for non-relativistic heavy quark pair production at hadron colliders is analytically computed at next-to-next-to-leading order (NNLO) in the strong coupling expansion. We present the…

High Energy Physics - Phenomenology · Physics 2025-10-21 Hua-Sheng Shao , Guoxing Wang

We compute the two-loop soft function for the associated production of a top quark and a $W$ boson near the threshold, where the invariant mass of the $tW$ system approaches the collider energy. We employ the reverse unitarity technique and…

High Energy Physics - Phenomenology · Physics 2025-06-23 Jia-Le Ding , Hai Tao Li , Jian Wang

We present a factorization formula for the production of pairs of heavy coloured particles in hadronic collisions at the production threshold, which forms the basis for the resummation of soft gluons and Coulomb gluons. We construct a basis…

High Energy Physics - Phenomenology · Physics 2010-04-08 M. Beneke , P. Falgari , C. Schwinn

The cross section for top quark pair production factorizes at small transverse momentum of the heavy quark pair, $q_T$. One of the key ingredients that appears in the factorization formula is the soft function, which mediates soft gluon…

High Energy Physics - Phenomenology · Physics 2018-11-15 Rene Angeles-Martinez , Michal Czakon , Sebastian Sapeta

We discuss the production of heavy colored paricles at the Large Hadron Collider (LHC) through gluon-gluon fusion process. A factorization theorem is obtained for this process using Soft Collinear Effective Theory. Our factorization theorem…

High Energy Physics - Phenomenology · Physics 2009-01-22 Ahmad idilbi , Chul Kim

Pair production of massive coloured particles in hadron collisions is accompanied by potentially large radiative corrections related to the suppression of soft gluon emission and enhanced Coulomb exchange near the production threshold. We…

High Energy Physics - Phenomenology · Physics 2010-12-01 M. Beneke , P. Falgari , S. Klein , C. Schwinn

We present the computation of the soft-parton contribution at low transverse momentum for the production of a heavy quark pair in association with a colour singlet at the next-to-next-to-leading order (NNLO) in the QCD coupling. This paper…

High Energy Physics - Phenomenology · Physics 2025-09-23 Simone Devoto , Javier Mazzitelli

At high values of the pair invariant mass the differential cross section for top-quark pair production at hadron colliders factorizes into soft, hard, and fragmentation functions. In this paper we calculate the next-to-next-to-leading-order…

High Energy Physics - Phenomenology · Physics 2015-06-05 Andrea Ferroglia , Ben D. Pecjak , Li Lin Yang

The Color-Octet Model has been used successfully to analyze many problems in heavy quarkonium production. We examine some of the conceptual and practical problems of the soft gluon emission process in the Color-Octet Model. We use a…

High Energy Physics - Phenomenology · Physics 2009-10-31 Cheuk-Yin Wong

We compute the third-order correction to the heavy-quark current correlation function due to the emission and absorption of an ultrasoft gluon. Our result supplies a missing contribution to top-quark pair production near threshold and the…

High Energy Physics - Phenomenology · Physics 2008-11-26 M. Beneke , Y. Kiyo

The cross sections for charm and bottom quark production in the threshold region are discussed. We consider the effects of an all order resummation of initial state soft-plus-virtual gluon radiation on the total cross sections compared to…

High Energy Physics - Phenomenology · Physics 2011-01-25 J. Smith , R. Vogt

We investigate the production of highly energetic top-quark pairs at hadron colliders, focusing on the case where the invariant mass of the pair is much larger than the mass of the top quark. In particular, we set up a factorization…

High Energy Physics - Phenomenology · Physics 2013-05-30 Andrea Ferroglia , Ben D. Pecjak , Li Lin Yang

We report on the calculation of the threshold soft function for heavy quark pair production in e+ e- annihilation at two-loop order. Our main result is a generalization of the familiar Drell-Yan threshold soft function to the case of…

High Energy Physics - Phenomenology · Physics 2015-09-22 Andreas von Manteuffel , Robert M. Schabinger , Hua Xing Zhu

We present a factorization framework that takes into account the production of heavy quarks through gluon splitting in the thrust distribution for e+ e- --> hadrons. The explicit factorization theorems and some numerical results are…

High Energy Physics - Phenomenology · Physics 2014-12-23 Andre H. Hoang , Vicent Mateu , Piotr Pietrulewicz

We define soft quark operators that enable construction of colour-ordered helicity amplitudes out of the non-radiative ones. We explore these operators for Higgs plus one jet production in a hadron collider and study the next-to-leading…

High Energy Physics - Phenomenology · Physics 2024-05-13 Sourav Pal , Satyajit Seth

We study the factorization and resummation of the $t\bar{t}W^\pm$ production at hadron colliders. The cross section in the threshold limit can be factorized into a convolution of hard and soft functions and parton distribution functions…

High Energy Physics - Phenomenology · Physics 2014-11-14 Hai Tao Li , Chong Sheng Li , Shi Ang Li

We derive a factorization formula for the production of pairs of heavy coloured particles in hadronic collisions near the production threshold that establishes factorization of soft and Coulomb effects. This forms the basis for a combined…

High Energy Physics - Phenomenology · Physics 2011-03-22 Martin Beneke , Pietro Falgari , Christian Schwinn

We derive the hard functions for all 2->2 processes in massless QCD up to next-to-next-to-leading order (NNLO) in the strong coupling constant. By employing the known one- and two-loop helicity amplitudes for these processes, we obtain…

High Energy Physics - Phenomenology · Physics 2015-06-22 Alessandro Broggio , Andrea Ferroglia , Ben D. Pecjak , Zhibai Zhang
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