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We begin a systematic investigation of the anomalous dimension of subleading power N-jet operators in view of resummation of logarithmically enhanced terms in partonic cross sections beyond leading power. We provide an explicit result at…

High Energy Physics - Phenomenology · Physics 2018-04-04 Martin Beneke , Mathias Garny , Robert Szafron , Jian Wang

We construct a complete and minimal basis of subleading-power N-jet operators in position-space soft-collinear effective theory (SCET) and discuss how the Low-Burnett-Kroll amplitude is recovered in this framework. We begin a systematic…

High Energy Physics - Phenomenology · Physics 2017-12-21 Martin Beneke , Mathias Garny , Robert Szafron , Jian Wang

Recently, an all-order conjecture for the anomalous-dimension matrix of n-jet operators in SCET was proposed, which allows one to predict the structure of the infrared divergences of dimensionally regularized, massless gauge-theory…

High Energy Physics - Phenomenology · Physics 2011-12-16 Leonardo Vernazza

We make progress towards resummation of power-suppressed logarithms in dijet event shapes such as thrust, which have the potential to improve high-precision fits for the value of the strong coupling constant. Using a newly developed…

High Energy Physics - Phenomenology · Physics 2018-08-30 Raymond Goerke , Matthew Inglis-Whalen

The soft radiation emitted in jet cross sections can resolve the directions and colors of individual hard partons, leading to a complicated pattern of logarithmically enhanced terms in the perturbative series. Starting from a factorization…

High Energy Physics - Phenomenology · Physics 2022-09-07 Thomas Becher , Thomas Rauh , Xiaofeng Xu

We calculate the anomalous dimensions of the next-to-leading order dijet operators in soft-collinear effective theory (SCET). We use a formulation of SCET where the Lagrangian is multiple copies of QCD and the interactions between sectors…

High Energy Physics - Phenomenology · Physics 2014-12-10 Simon M. Freedman , Raymond Goerke

We revisit the Next-to-Leading Order (two-loop) contributions to the Anomalous Dimensions of $\Delta F = 1$ four-quark operators in QCD. We devise a test for anomalous dimensions, that we regard as of general interest, and by means of which…

High Energy Physics - Phenomenology · Physics 2025-06-19 Pol Morell , Javier Virto

We derive the complete set of two-loop anomalous dimensions describing the mixing of four-fermion operators in the Low Energy Effective Field Theory (LEFT). The calculation is performed in Naive Dimensional Regularization with anticommuting…

High Energy Physics - Phenomenology · Physics 2026-05-08 Jason Aebischer , Pol Morell , Marko Pesut , Javier Virto

We investigate the factorization properties of the massive fermion form factor in QED, to next-to-leading power in the fermion mass, and up to two-loop order. For this purpose we define new jet functions that have multiple connections to…

High Energy Physics - Phenomenology · Physics 2025-03-17 Robin van Bijleveld , Eric Laenen , Coenraad Marinissen , Leonardo Vernazza , Guoxing Wang

We calculate the one-loop corrections to the soft anomalous dimension matrices for the production of a top-antitop quark pair in association with a jet at hadron colliders. This is a step forward towards implementing a procedure for the…

High Energy Physics - Phenomenology · Physics 2022-07-12 Bakar Chargeishvili , Maria Vittoria Garzelli , Sven-Olaf Moch

We propose the addition of a new "soft-collinear" mode to soft collinear effective theory (SCET) below the usual soft scale to factorize and resum logarithms of jet radii $R$ in jet cross sections. We consider exclusive 2-jet cross sections…

High Energy Physics - Phenomenology · Physics 2016-02-03 Yang-Ting Chien , Andrew Hornig , Christopher Lee

We extend the class of factorization theorems for non-global observables from fixed angular constraints to cross sections defined in terms of sequential jet clustering. The associated hard and soft functions depend not only on the…

High Energy Physics - Phenomenology · Physics 2023-10-02 Thomas Becher , Jürg Haag

The results of calculation of the three-loop radiative correction to the renormalization constant of fermion masses for non-abelian gauge theory interacting with fermions are presented. Dimensional regularization and the 't Hooft minimal…

High Energy Physics - Phenomenology · Physics 2020-04-22 O. V. Tarasov

We provide the last missing ingredient necessary to approximate one-loop amplitudes in QCD with massive quarks in the limit of vanishing energy of a single gluon up to terms suppressed by this energy. Our main result is a soft operator…

High Energy Physics - Phenomenology · Physics 2026-02-13 Michał Czakon , Kilian Erhard Minguez , Felix Eschment

We compute the one-loop anomalous dimensions of the low-energy effective Lagrangian below the electroweak scale, up to terms of dimension six. The theory has 70 dimension-five and 3631 dimension-six Hermitian operators that preserve baryon…

High Energy Physics - Phenomenology · Physics 2024-03-21 Elizabeth E. Jenkins , Aneesh V. Manohar , Peter Stoffer

The Soft Collinear Effective Theory (SCET) is a powerful framework for studying factorization of amplitudes and cross sections in QCD. While factorization at leading power has been well studied, much less is known at subleading powers in…

High Energy Physics - Phenomenology · Physics 2017-08-22 Ian Moult , Iain W. Stewart , Gherardo Vita

We provide a quantum field theory based description of the nonperturbative effects from hadronization for soft drop groomed jet mass distributions using the soft-collinear effective theory and the coherent branching formalism. There are two…

High Energy Physics - Phenomenology · Physics 2025-07-04 André H. Hoang , Sonny Mantry , Aditya Pathak , Iain W. Stewart

We derive, in the framework of soft-collinear effective field theory (SCET), a Lagrangian describing the $t$-channel exchange of Glauber quarks in the Regge limit. The Glauber quarks are not dynamical, but are incorporated through non-local…

High Energy Physics - Phenomenology · Physics 2018-04-04 Ian Moult , Mikhail P. Solon , Iain W. Stewart , Gherardo Vita

In this article we study, via analytical methods, $1/Q$ non-perturbative power corrections to event shape mean values, addressing in particular the question of their interplay with soft perturbative emissions. Specifically we point out that…

High Energy Physics - Phenomenology · Physics 2024-11-27 Mrinal Dasgupta , Farid Hounat

We calculate the two-loop QCD anomalous dimension matrix (ADM) gamma^(1)_NDR in the NDR-MSbar scheme for all the flavour-changing four-quark dimension-six operators that are relevant in both the Standard Model and its extensions. Both…

High Energy Physics - Phenomenology · Physics 2024-02-15 Andrzej J. Buras , Mikolaj Misiak , Joerg Urban
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