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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…

高能物理 - 唯象学 · 物理学 2020-03-17 Robin Brüser , Ze Long Liu , Maximilian Stahlhofen

The $N$-jettiness subtraction has proven to be an efficient method to perform differential QCD next-to-next-to-leading order (NNLO) calculations in the last few years. One important ingredient of this method is the NNLO soft function. We…

高能物理 - 唯象学 · 物理学 2017-02-03 Hai Tao Li , Jian Wang

We present a formalism that sums up both soft-virtual (SV) and next to SV (NSV) contributions to all orders in perturbative QCD for the rapidity distribution of any colorless particle produced in hadron colliders. We have exploited the…

高能物理 - 唯象学 · 物理学 2021-07-30 A. H. Ajjath , Pooja Mukherjee , V. Ravindran , Aparna Sankar , Surabhi Tiwari

The vacuum polarization due to a virtual heavy quark pair and specifically the coefficients of its Taylor expansion in the external momentum are closely related to moments of the cross section for quark-antiquark pair production in…

高能物理 - 唯象学 · 物理学 2008-11-26 K. G. Chetyrkin , J. H. Kuhn , P. Mastrolia , C. Sturm

We compute the virtual O(\alpha_s^3 n_f^2) corrections to the heavy quark vector current correlator in terms of expansions in the external momentum and as an exact numerical solution. As a byproduct, the available high-energy expansion at…

高能物理 - 唯象学 · 物理学 2008-11-26 M. Czakon , T. Schutzmeier

We calculate the generalized soft functions at $\mathcal{O}(\alpha_s^2)$ at next-to-leading power accuracy for the Drell-Yan process at threshold. The operator definitions of these objects contain explicit insertions of soft gauge and…

高能物理 - 唯象学 · 物理学 2021-10-27 Alessandro Broggio , Sebastian Jaskiewicz , Leonardo Vernazza

We determine both real and virtual next-to-leading order corrections to the gluon induced forward jet vertex, from the high energy effective action proposed by Lipatov. For these calculations we employ the same regularization and…

高能物理 - 唯象学 · 物理学 2013-05-01 Grigorios Chachamis , Martin Hentschinski , Jose Daniel Madrigal , Agustin Sabio Vera

Modern Reinforcement Learning (RL) is commonly applied to practical problems with an enormous number of states, where function approximation must be deployed to approximate either the value function or the policy. The introduction of…

机器学习 · 计算机科学 2019-08-09 Chi Jin , Zhuoran Yang , Zhaoran Wang , Michael I. Jordan

We calculate the two-loop soft function for $pp \to jj$, $e^+e^- \to 4j$ or $e p \to 3j$ when the $N$-jettiness observable is measured. The result presented here makes up the necessary piece for realizing the full next-to-next-to-leading…

高能物理 - 唯象学 · 物理学 2019-06-26 Shan Jin , Xiaohui Liu

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…

高能物理 - 唯象学 · 物理学 2015-06-05 Andrea Ferroglia , Ben D. Pecjak , Li Lin Yang

Using the nonrelativistic effective field theory vNRQCD, we determine the contribution to the next-to-leading logarithmic (NLL) running of the effective quark-antiquark potential at order v (1/mk) from diagrams with one potential and two…

高能物理 - 唯象学 · 物理学 2011-08-22 Andre H. Hoang , Maximilian Stahlhofen

The thrust distribution in electron-positron annihilation is a classical precision QCD observable. Using renormalization group (RG) evolution in Laplace space, we perform the resummation of logarithmically enhanced corrections in the dijet…

高能物理 - 唯象学 · 物理学 2015-03-19 Pier Francesco Monni , Thomas Gehrmann , Gionata Luisoni

We present a formalism that sums up the soft-virtual (SV) and next-to-SV (NSV) diagonal contributions to inclusive colorless productions in hadron colliders to all orders in perturbative QCD. Using factorisation theorem, renormalisation…

高能物理 - 唯象学 · 物理学 2022-05-31 A. H. Ajjath , Pooja Mukherjee , V. Ravindran

We compute the inclusive jet function for boosted heavy quarks to $\mathcal{O}(\alpha_s^3)$. The jet function is defined and calculated in the framework of boosted Heavy-Quark Effective Theory (bHQET). It describes the effect of radiation…

高能物理 - 唯象学 · 物理学 2025-04-08 Alberto M. Clavero , Robin Brüser , Vicent Mateu , Maximilian Stahlhofen

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…

高能物理 - 唯象学 · 物理学 2014-02-05 Simon Gritschacher , Andre Hoang , Ilaria Jemos , Piotr Pietrulewicz

We present a new method to compute the soft function for the $N$-Jettiness variable for arbitrary $N$ at high perturbative orders in QCD. It is based on the observation that the most singular part of the soft function, the dipole…

高能物理 - 唯象学 · 物理学 2026-04-16 Luca Buonocore , Maximilian Delto , Kirill Melnikov , Pier Francesco Monni , Andrey Pikelner , Gherardo Vita

We consider QCD radiative corrections to the production of colourless high-mass systems in hadron collisions. We show that the recent computation of the soft-virtual corrections to Higgs boson production at N$^3$LO [1] together with the…

高能物理 - 唯象学 · 物理学 2015-06-19 S. Catani , L. Cieri , D. de Florian , G. Ferrera , M. Grazzini

We study the resummation of the $0$-jettiness resolution variable $\mathcal{T}_0$ for the top-quark pair production process in hadronic collisions. Starting from an effective theory framework we derive a factorisation formula for this…

高能物理 - 唯象学 · 物理学 2022-02-02 Simone Alioli , Alessandro Broggio , Matthew A. Lim

We compute the virtual next-to-leading corrections to the Lipatov vertex in the helicity-amplitude formalism. These agree with previous results by Fadin and collaborators, in the conventional dimensional-regularization scheme. We discuss…

高能物理 - 唯象学 · 物理学 2016-08-25 Vittorio Del Duca , Carl R. Schmidt

We discuss a modification of the next-to-next-to-leading order (NNLO) subtraction scheme based on the residue-improved sector decomposition that reduces the number of double-real emission sectors from five to four. In particular, a sector…

高能物理 - 唯象学 · 物理学 2017-05-24 Fabrizio Caola , Kirill Melnikov , Raoul Röntsch