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The heavy jet mass event shape has large perturbative logarithms near the leading order kinematic threshold at $\rho = \frac{1}{3}$. Catani and Webber named these logarithms Sudakov shoulders and resummed them at double-logarithmic level. A…

High Energy Physics - Phenomenology · Physics 2023-06-16 Arindam Bhattacharya , Johannes K. L. Michel , Matthew D. Schwartz , Iain W. Stewart , Xiaoyuan Zhang

Perturbative calculations for processes involving heavy flavours can be carried out using two approaches: the massive and the massless schemes. These schemes can also be combined to leverage their respective strengths. Additionally, both…

High Energy Physics - Phenomenology · Physics 2025-03-17 Andrea Ghira , Lorenzo Mai , Simone Marzani

Incorporating all recent theoretical advances, we resum soft-gluon corrections to the total $t\bar t$ cross-section at hadron colliders at the next-to-next-to-leading logarithmic (NNLL) order. We perform the resummation in the well…

High Energy Physics - Phenomenology · Physics 2015-06-03 Matteo Cacciari , Michal Czakon , Michelangelo L. Mangano , Alexander Mitov , Paolo Nason

Deep inelastic scattering data on $F_2$ structure function from various fixed-target experiments were analyzed in a nonsinglet approximation in the MSbar and DIS scheme. The study of high statistics deep inelastic scattering data provided…

High Energy Physics - Phenomenology · Physics 2022-04-27 A. V. Kotikov , V. G. Krivokhizhin , B. G. Shaikhatdenov

Non-global QCD observables are characterised by a sensitivity to the full angular distribution of soft radiation emitted coherently in hard scattering processes. This complexity poses a challenge to their all-order resummation, that was…

High Energy Physics - Phenomenology · Physics 2022-04-13 Andrea Banfi , Frédéric A. Dreyer , Pier Francesco Monni

We present the estimates of the order $O(\alpha^{4}_{s})$ QCD corrections to $R(s)$, $R_{\tau}$ and to the deep-inelastic scattering sum rules, namely to the non-polarized and polarized Bjorken sum rules and to the Gross-Llewellyn Smith sum…

High Energy Physics - Phenomenology · Physics 2008-02-03 A. L. Kataev , V. V. Starshenko

In electroweak-boson production processes with a jet veto, higher-order corrections are enhanced by logarithms of the veto scale over the invariant mass of the boson system. In this paper, we resum these Sudakov logarithms at…

High Energy Physics - Phenomenology · Physics 2015-06-23 Thomas Becher , Rikkert Frederix , Matthias Neubert , Lorena Rothen

We present a systematic algorithm for the perturbative computation of soft functions that are defined in terms of two light-like Wilson lines. Our method is based on a universal parametrisation of the phase-space integrals, which we use to…

High Energy Physics - Phenomenology · Physics 2019-09-04 Guido Bell , Rudi Rahn , Jim Talbert

To date, the appearance and resummation of "super-leading" logarithms in hadron-hadron collisions has been studied only for massless parton states. We extend the formalism to include an arbitrary number of massive final states. We derive…

High Energy Physics - Phenomenology · Physics 2025-10-30 Upalaparna Banerjee , Romy Grünhofer , Matthias König , Yibei Li , Matthias Neubert , Josua Scholze

The semi-inclusive deep-inelastic scattering (SIDIS) process requires the presence of an identified hadron H$'$ in the final state, which arises from the scattering of a lepton with an initial hadron P. By employing factorization in quantum…

High Energy Physics - Phenomenology · Physics 2025-11-03 Saurav Goyal , Roman N. Lee , Sven-Olaf Moch , Vaibhav Pathak , Narayan Rana , V. Ravindran

The successive perturbative estimates of the pressure of QCD at high temperature T show no sign of convergence, unless the coupling constant g is unrealistically small. Exploiting known results of an effective field theory which separates…

High Energy Physics - Phenomenology · Physics 2009-11-10 J. -P. Blaizot , E. Iancu , A. Rebhan

We resum a class of large Sudakov logarithms affecting Higgs boson production in the exclusive one-jet bin at the LHC. We extend previous results by calculating the full one-loop soft function for this process, which extends the accuracy of…

High Energy Physics - Phenomenology · Physics 2013-06-05 Xiaohui Liu , Frank Petriello

Reactive synthesis from high-level specifications that combine hard constraints expressed in Linear Temporal Logic LTL with soft constraints expressed by discounted-sum (DS) rewards has applications in planning and reinforcement learning.…

Artificial Intelligence · Computer Science 2022-05-24 Suguman Bansal , Lydia Kavraki , Moshe Y. Vardi , Andrew Wells

We study the resummation of large logarithmic perturbative corrections to the partonic cross sections relevant for di-hadron production in hadronic collisions, H1 H2 -> h1 h2 X, at high invariant mass of the produced hadron pair. These…

High Energy Physics - Phenomenology · Physics 2009-11-05 Leandro G. Almeida , George Sterman , Werner Vogelsang

The one-loop correction to heavy quark pair back-to-back production in unpolarized semi-inclusive deep inelastic scattering is given in this work in the framework of transverse momentum dependent(TMD) factorization. Both unpolarized and…

High Energy Physics - Phenomenology · Physics 2017-12-06 Guang-Peng Zhang

We study a weighted renormalization of the mixed Hessian of the dispersionless Toda $\tau$-function associated with polynomial conformal maps. The starting point is an explicit logarithmic-kernel representation, which yields a decomposition…

Mathematical Physics · Physics 2026-04-29 Oleg Alekseev

We derive and solve renormalization group equations that allow for the resummation of subleading power rapidity logarithms. Our equations involve operator mixing into a new class of operators, which we term the "rapidity identity…

High Energy Physics - Phenomenology · Physics 2020-07-15 Ian Moult , Gherardo Vita , Kai Yan

We prove the all-order exponentiation of soft logarithmic corrections to prompt photon production in hadronic collisions, by generalizing an approach previously developed in the context of Drell-Yan production and deep-inelastic scattering.…

High Energy Physics - Phenomenology · Physics 2010-04-05 Paolo Bolzoni , Stefano Forte , Giovanni Ridolfi

The large-x behavior of the physical evolution kernels appearing in the second order evolution equations of the singlet F_2 structure function and of the F_{phi} structure function in phi-exchange DIS is investigated. The validity of a…

High Energy Physics - Phenomenology · Physics 2015-05-27 Georges Grunberg

We study various corrections of correlation functions to leading order in conformal perturbation theory, both on the cylinder and on the plane. Many problems on the cylinder are mathematically equivalent to those in the plane if we give the…

High Energy Physics - Theory · Physics 2016-07-08 David Berenstein , Alexandra Miller