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Related papers: Calculating Soft Radiation at One Loop

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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

The general structure of infrared divergences in the scattering of massive particles is captured by the soft anomalous dimension matrix. The latter can be computed from a correlation function of multiple Wilson lines. The state-of-the-art…

High Energy Physics - Phenomenology · Physics 2023-10-17 Johannes M. Henn , Calum Milloy , Kai Yan

Non-global logarithms arise from the sensitivity of collider observables to soft radiation in limited angular regions of phase space. Their resummation to next-to-leading logarithmic (NLL) order has been a long standing problem and its…

High Energy Physics - Phenomenology · Physics 2021-10-05 Andrea Banfi , Frédéric A. Dreyer , Pier Francesco Monni

We review techniques simplifying the analytic calculation of one-loop QCD amplitudes with many external legs, for use in next-to-leading-order corrections to multi-jet processes. Particularly useful are the constraints imposed by…

High Energy Physics - Phenomenology · Physics 2016-09-01 Z. Bern , G. Chalmers , L. Dixon , D. C. Dunbar , D. A. Kosower

Modern collider phenomenology requires unprecedented precision for the theoretical predictions, for which slicing techniques provide an essential tool at next-to-next-to-leading order (NNLO) in the strong coupling. The most popular slicing…

High Energy Physics - Phenomenology · Physics 2025-10-23 Rong-Jun Fu , Rudi Rahn , Ding Yu Shao , Wouter J. Waalewijn , Bin Wu

We introduce a method for the separation of soft and collinear logarithms in QCD parton evolution at $\mathcal{O}(\alpha_s^2)$ and at leading color. Using an implementation of the technique in the Dire parton shower, we analyze the…

High Energy Physics - Phenomenology · Physics 2022-06-29 Leif Gellersen , Stefan Höche , Stefan Prestel

The Wilson Coefficients for all 4-parton operators which arise in matching QCD to Soft-Collinear Effective Theory (SCET) are computed at 1-loop. Any dijet observable calculated in SCET beyond leading order will require these results. The…

High Energy Physics - Phenomenology · Physics 2012-04-18 Randall Kelley , Matthew D. Schwartz

We study the soft limit of one-loop QCD amplitudes and we derive the process-independent factorization formula that controls the singular behaviour in this limit. This is obtained from the customary eikonal factorization formula valid at…

High Energy Physics - Phenomenology · Physics 2009-10-31 S. Catani , M. Grazzini

Angularities are event shapes whose sensitivity to the splitting angle of a collinear emission is controlled by a continuous parameter $b$, with $ -1 < b < \infty$. When measured with respect to the thrust axis, this class of QCD…

High Energy Physics - Phenomenology · Physics 2020-06-10 Ankita Budhraja , Ambar Jain , Massimiliano Procura

The soft and collinear singularities of general scalar and tensor one-loop N-point integrals are worked out explicitly. As a result a simple explicit formula is given that expresses the singular part in terms of 3-point integrals. Apart…

High Energy Physics - Phenomenology · Physics 2010-04-05 Stefan Dittmaier

Beam and jet functions in Soft-Collinear Effective Theory describe collinear initial- and final-state radiation (jets), and enter in factorization theorems for N-jet production, the Higgs pT spectrum, etc. We show that they may directly be…

High Energy Physics - Phenomenology · Physics 2014-10-17 Mathias Ritzmann , Wouter J. Waalewijn

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

We study the threshold corrections for inclusive deep-inelastic scattering (DIS) and their all-order resummation. Using recent results for the QCD form factor, related anomalous dimensions and Mellin moments of DIS structure functions at…

High Energy Physics - Phenomenology · Physics 2020-03-31 Goutam Das , Sven-Olaf Moch , Andreas Vogt

We develop a factorization framework to compute the double differential cross section in soft drop groomed jet mass and groomed jet radius. We describe the effective theories in the large, intermediate, and small groomed jet radius regions…

High Energy Physics - Phenomenology · Physics 2021-04-21 Aditya Pathak , Iain W. Stewart , Varun Vaidya , Lorenzo Zoppi

We present two novel results about the universal structure of radiative QED amplitudes in the soft and in the collinear limit. On the one hand, we extend the well-known Low-Burnett-Kroll theorem to the one-loop level and give the explicit…

High Energy Physics - Phenomenology · Physics 2022-05-04 Tim Engel , Adrian Signer , Yannick Ulrich

The study of amplitudes and cross sections in the soft and collinear limits allows for an understanding of their all orders behavior, and the identification of universal structures. At leading power soft emissions are eikonal, and described…

High Energy Physics - Phenomenology · Physics 2020-04-08 Ian Moult , Iain W. Stewart , Gherardo Vita

In this work, we perform a lattice QCD study of the intrinsic, rapidity-independent soft function within the framework of large momentum effective theory. The computation is carried out using a gauge ensemble of $N_f=2+1+1$ clover-improved…

The computation of one-loop corrections to the $\gamma^\star Q_+ q$ and $gR_+g$ effective vertices in the framework of gauge-invariant effective theory for Multi-Regge processes in QCD is reviewed. Due to consistent implementation of the…

High Energy Physics - Phenomenology · Physics 2019-05-29 Maxim Nefedov

We present the analytic results of one-loop squared amplitudes for $tW$ production at a hadron collider. The calculation is performed using the method of differential equations. After renormalization, we have checked that the infrared…

High Energy Physics - Phenomenology · Physics 2022-08-30 Long-Bin Chen , Liang Dong , Hai Tao Li , Zhao Li , Jian Wang , Yefan Wang

We present measurements of soft single- and double-diffractive cross sections, as well as of forward rapidity gap cross sections at 7 TeV at the LHC, and compare the results to other measurements and to theoretical predictions implemented…

High Energy Physics - Experiment · Physics 2013-10-10 Konstantin Goulianos