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Related papers: Automated Calculation of ${\pmb N}$-jet Soft Funct…

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We present a systematic framework for the calculation of dijet soft functions, which are defined as a matrix element of two light-like Wilson lines that is weighted by a generic measurement function. Based on a universal parametrisation of…

High Energy Physics - Phenomenology · Physics 2015-12-21 Guido Bell , Rudi Rahn , Jim Talbert

We compute the N-jettiness soft function in hadronic collisions to next-to-next-to-leading order (NNLO) in the strong-coupling expansion. Our calculation is based on an extension of the SoftSERVE framework to soft functions that involve an…

High Energy Physics - Phenomenology · Physics 2024-08-08 Guido Bell , Bahman Dehnadi , Tobias Mohrmann , Rudi Rahn

We present a computation of the global soft function for single-inclusive hadronic jet production at next-to-next-to-leading order (NNLO) in the strong coupling constant involving four light-like Wilson lines. Our soft function belongs to…

High Energy Physics - Phenomenology · Physics 2021-10-04 Yaroslav Balytskyi , Jianbo Gao

We present a method to calculate the soft function in Soft-Collinear Effective Theory to NLO for N-jet events, defined with respect to arbitrarily complicated observables and algorithms, using a subtraction-based method. We show that at one…

High Energy Physics - Phenomenology · Physics 2011-02-25 Christian W. Bauer , Nicholas Daniel Dunn , Andrew Hornig

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…

High Energy Physics - Phenomenology · Physics 2026-04-16 Luca Buonocore , Maximilian Delto , Kirill Melnikov , Pier Francesco Monni , Andrey Pikelner , Gherardo Vita

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 extend our framework for the automated calculation of dijet soft functions to observables that do not obey the non-Abelian exponentiation theorem, like jet-veto or grooming soft functions that are sensitive to clustering effects of the…

High Energy Physics - Phenomenology · Physics 2018-01-16 Guido Bell , Rudi Rahn , Jim Talbert

High energy scattering processes involving jets generically involve matrix elements of light- like Wilson lines, known as soft functions. These describe the structure of soft contributions to observables and encode color and kinematic…

High Energy Physics - Phenomenology · Physics 2017-10-06 Andrew Hornig , Christopher Lee , Iain W. Stewart , Jonathan R. Walsh , Saba Zuberi

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

We present a general framework for the calculation of soft functions for SCET_I observables through next-to-next-to-leading order (NNLO) in the strong coupling constant. As an example of our formalism we show how it can be used to obtain…

High Energy Physics - Phenomenology · Physics 2015-06-03 Radja Boughezal , Xiaohui Liu , Frank Petriello

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

We present an efficient way to calculate the effect of soft QCD radiation at one loop, which is needed for predictions at next-to-next-to-leading logarithmic accuracy. We use rapidity coordinates and isolate the divergences in the…

High Energy Physics - Phenomenology · Physics 2016-04-20 Tomas Kasemets , Wouter J. Waalewijn , Lisa Zeune

We present compact integral representations for the calculation of two-loop anomalous dimensions for a generic class of soft functions that are defined in terms of two light-like Wilson lines. Our results are relevant for the resummation of…

High Energy Physics - Phenomenology · Physics 2019-03-28 Guido Bell , Rudi Rahn , Jim Talbert

We calculate the soft function for the global event variable 1-jettiness at next-to-next-to-leading order (NNLO) in QCD. We focus specifically on the non-Abelian contribution, which, unlike the Abelian part, is not determined by the…

High Energy Physics - Phenomenology · Physics 2018-04-18 John M. Campbell , R. Keith Ellis , Roberto Mondini , Ciaran Williams

Calculations of collinear correlation functions in perturbative QCD and Soft-Collinear Effective Theory (SCET) require a prescription for subtracting soft or zero-bin contributions in order to avoid double counting the contributions from…

High Energy Physics - Phenomenology · Physics 2008-11-26 Ahmad Idilbi , Thomas Mehen

Soft-Collinear Effective Theory is a framework for systematically organizing and resumming the logarithmic contributions that occur in high-energy reactions. It provides a factorized description of cross sections in terms of hard, jet,…

High Energy Physics - Phenomenology · Physics 2025-12-30 Saurav Goyal , Sven-Olaf Moch , Vaibhav Pathak , V. Ravindran

The effects of the soft gluon emission in hard scattering processes at the phase boundary are resummed in the soft-collinear effective theory (SCET). In SCET, the soft gluon emission is decoupled from the energetic collinear part, and is…

High Energy Physics - Phenomenology · Physics 2009-11-10 Junegone Chay , Chul Kim , Yeong Gyun Kim , Jong-Phil Lee

Soft-collinear effective theory (SCET) is used to demonstrate factorization for event shape distributions in the two-jet region. The leading nonperturbative power corrections to these distributions can be characterized as shape functions…

High Energy Physics - Phenomenology · Physics 2008-11-26 Christopher Lee

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 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…

High Energy Physics - Phenomenology · Physics 2019-06-26 Shan Jin , Xiaohui Liu
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