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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 calculation of the two-loop soft function for the transverse momentum distribution of the leading jet produced in association with any colour-singlet system (e.g.~a Higgs or a $Z$ boson). This constitutes a central ingredient…

High Energy Physics - Phenomenology · Physics 2022-09-14 Samuel Abreu , Jonathan R. Gaunt , Pier Francesco Monni , Robert Szafron

We compute the complete set of two-loop beam functions for the transverse momentum distribution of the leading jet produced in association with an arbitrary colour-singlet system. Our results constitute the last missing ingredient for the…

High Energy Physics - Phenomenology · Physics 2023-05-17 Samuel Abreu , Jonathan R. Gaunt , Pier Francesco Monni , Luca Rottoli , Robert Szafron

We consider the factorization and resummation of soft and Coulomb gluons for pair-production processes of heavy coloured particles at hadron colliders, and discuss: the construction of a colour basis that diagonalizes the leading soft…

High Energy Physics - Phenomenology · Physics 2010-01-27 M. Beneke , P. Falgari , C. Schwinn

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 calculate the three-loop soft function for the production of an electroweak boson (Higgs, $\gamma$, $W^\pm$, $Z$) with large transverse momentum at a hadron collider. It is the first time a soft function for a three-parton process is…

High Energy Physics - Phenomenology · Physics 2021-02-23 Ze Long Liu , Maximilian Stahlhofen

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 full set of two-loop Feynman integrals appearing in massless two-loop four-point functions with two off-shell legs with the same invariant mass. These integrals allow to determine the two-loop corrections to the amplitudes…

High Energy Physics - Phenomenology · Physics 2014-06-13 Thomas Gehrmann , Andreas von Manteuffel , Lorenzo Tancredi , Erich Weihs

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

We compute the 1-jettiness soft function for the decay of a heavy quark into a light quark jet plus colorless particles at three-loop order in soft-collinear effective theory. The 1-jettiness measurement fixes the total small light-cone…

High Energy Physics - Phenomenology · Physics 2020-03-17 Robin Brüser , Ze Long Liu , Maximilian Stahlhofen

We present an efficient way to calculate the effect of soft QCD radiation at one loop, which is needed for predictions at next-to-next-to-leading logarithmic accuracy. We use rapidity coordinates and isolate the divergences in the…

High Energy Physics - Phenomenology · Physics 2016-04-20 Tomas Kasemets , Wouter J. Waalewijn , Lisa Zeune

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

In differential measurements at a hadron collider, collinear initial-state radiation is described by process-independent beam functions. They are the field-theoretic analog of initial-state parton showers. Depending on the measured…

High Energy Physics - Phenomenology · Physics 2014-06-27 Jonathan R. Gaunt , Maximilian Stahlhofen , Frank J. Tackmann

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

We consider the radiation of two or more soft partons in QCD hard-scattering at one-loop order. The corresponding scattering amplitude is singular, and the singular behaviour is controlled by a process-independent soft current. Using…

High Energy Physics - Phenomenology · Physics 2022-02-16 Stefano Catani , Leandro Cieri

We present a QCD calculation of the transverse momentum distribution of photon pairs produced at hadron colliders, including all-orders soft-gluon resummation valid at next-to-next-to-leading logarithmic accuracy. We specify the region of…

High Energy Physics - Phenomenology · Physics 2008-11-26 Csaba Balazs , Edmond L. Berger , Pavel Nadolsky , C. -P. Yuan

The soft theorem states that scattering amplitude in gauge theory with a soft gauge-boson emission can be factorized into a hard scattering amplitude and a soft factor. In this paper, we present calculations of the soft factor for processes…

High Energy Physics - Phenomenology · Physics 2024-01-25 Wen Chen , Ming-xing Luo , Tong-Zhi Yang , Hua Xing Zhu

In the framework of the Hard Thermal Loop effective theory, we calculate the two-loop contributions to hard lepton pair production in a quark-gluon plasma. We show that the result is free of any infrared and collinear singularity. We also…

High Energy Physics - Phenomenology · Physics 2009-11-07 P. Aurenche , F. Gelis , H. Zaraket

We review on the calculation of the heavy-quark photo-production vector form factors, with the full dependence on the mass of the heavy-quark. The Feynman diagrams are evaluated within the dimensional regularization scheme and expressed in…

High Energy Physics - Phenomenology · Physics 2015-06-25 R. Bonciani
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