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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 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

We perform a precise calculation of the transverse momentum ($\vec{q}_T$) distribution of the boson+jet system in boson production events. The boson can be either a photon, $W$, $Z$ or Higgs boson with mass $m_V$, and $\vec{q}_T$ is the sum…

High Energy Physics - Phenomenology · Physics 2020-01-08 Yang-Ting Chien , Ding Yu Shao , Bin Wu

The soft function relevant for the production of an electroweak boson (photon, W, Z or H) with large transverse momentum at a hadron collider is computed at next-to-next-to-leading order. This is the first two-loop computation of a soft…

High Energy Physics - Phenomenology · Physics 2015-06-03 Thomas Becher , Guido Bell , Stefanie Marti

We study resummation of transverse-momentum-related large logarithms generated from soft-gluon radiations in soft-collinear effective field theory. The anomalous dimensions of the effective quark and gluon currents, an important ingredient…

High Energy Physics - Phenomenology · Physics 2010-04-05 Ahmad Idilbi , Xiangdong Ji , Feng Yuan

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 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

In this paper, the soft gluon resummation effect in the Higgs boson plus two-jet production at the LHC is studied. By applying the transverse momentum dependent factorization formalism, the large logarithms introduced by the small total…

High Energy Physics - Phenomenology · Physics 2019-10-02 Peng Sun , C. -P. Yuan , Feng Yuan

We consider the associated production of a vector or Higgs boson with a jet in hadronic collisions. When the transverse momentum $q_T$ of the boson-jet system is much smaller than its invariant mass $Q$, the QCD perturbative expansion is…

High Energy Physics - Phenomenology · Physics 2022-01-26 Luca Buonocore , Massimiliano Grazzini , Jürg Haag , Luca Rottoli

We present the calculation of the $\mathcal{O}(\alpha_s^2 C_F T_F)$ massive quark corrections to the soft function for the double hemisphere jet mass distribution in $e^+ e^-$ collisions, a necessary ingredient for the calculation of…

High Energy Physics - Phenomenology · Physics 2014-02-05 Simon Gritschacher , Andre Hoang , Ilaria Jemos , Piotr Pietrulewicz

We introduce a method to compute one-loop soft functions for exclusive $N$-jet processes at hadron colliders, allowing for different definitions of the algorithm that determines the jet regions and of the measurements in those regions. In…

High Energy Physics - Phenomenology · Physics 2017-10-10 Daniele Bertolini , Daniel Kolodrubetz , Duff Neill , Piotr Pietrulewicz , Iain W. Stewart , Frank J. Tackmann , Wouter J. Waalewijn

We consider the production of a pair of heavy quarks $Q\bar{Q}$ in association with a generic colour singlet system $V$ at lepton colliders, and present the first analytic calculation of the two-loop soft function differential in the total…

High Energy Physics - Phenomenology · Physics 2024-11-21 Ze Long Liu , Pier Francesco Monni

The N-jettiness event shape divides phase space into N+2 regions, each containing one jet or beam. Using a geometric measure these regions correspond to jets with circular boundaries. We give a factorization theorem for the cross section…

High Energy Physics - Phenomenology · Physics 2011-06-21 Teppo T. Jouttenus , Iain W. Stewart , Frank J. Tackmann , Wouter J. Waalewijn

The complete two-loop expression for the jet function J(p^2,mu) of soft-collinear effective theory is presented, including non-logarithmic terms. Combined with our previous calculation of the soft function S(omega,mu), this result provides…

High Energy Physics - Phenomenology · Physics 2009-11-11 Thomas Becher , Matthias Neubert

We study the transverse momentum of the leading jet in the limit where the jet radius is small, $R\ll 1$. We introduce the leading-jet function to calculate this cross section for an inclusive jet sample, and the subleading-jet function…

High Energy Physics - Phenomenology · Physics 2020-09-29 Darren J. Scott , Wouter J. Waalewijn

We study the factorization and resummation of the transverse momentum spectrum of the color sextet and antitriplet scalars produced at the LHC based on soft-collinear effective theory. Compared to Z boson and Higgs production, a soft…

High Energy Physics - Phenomenology · Physics 2014-03-04 Ze Long Liu , Chong Sheng Li , Yan Wang , Yong Chuan Zhan , Hai Tao Li

The inclusive gluon jet function is evaluated at two-loop accuracy. This function is relevant for resummations of large perturbative logarithms in collider processes involving low-mass gluon jets. The jet function corresponds to the…

High Energy Physics - Phenomenology · Physics 2011-06-27 Thomas Becher , Guido Bell

LHC measurements involve cuts on several observables, but resummed calculations are mostly restricted to single variables. We show how the resummation of a class of double-differential measurements can be achieved through an extension of…

High Energy Physics - Phenomenology · Physics 2015-06-23 Massimiliano Procura , Wouter J. Waalewijn , Lisa Zeune

We study the transverse momentum distribution of hadrons within jets, where the transverse momentum is defined with respect to the standard jet axis. We consider the case where the jet substructure measurement is performed for an inclusive…

High Energy Physics - Phenomenology · Physics 2017-11-16 Zhong-Bo Kang , Xiaohui Liu , Felix Ringer , Hongxi Xing

The transverse-momentum-dependent (TMD) soft function for a generic hadroproduction process involving massive colored particles is analytically calculated at the one-loop level, extended to higher orders in the dimensional regulator…

High Energy Physics - Phenomenology · Physics 2025-07-04 Hua-Sheng Shao , Guoxing Wang
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