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Related papers: Generic dijet soft functions at two-loop order: un…

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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

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 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 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 present the calculation of the two-loop soft function for the transverse momentum distribution of the leading jet produced in association with any colour-singlet system (e.g.~a Higgs or a $Z$ boson). This constitutes a central ingredient…

High Energy Physics - Phenomenology · Physics 2022-09-14 Samuel Abreu , Jonathan R. Gaunt , Pier Francesco Monni , Robert Szafron

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

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 discuss peculiarities that arise in the computation of real-emission contributions to observables that contain Heaviside functions. A prominent example of such a case is the zero-jettiness soft function in SCET, whose calculation at…

High Energy Physics - Phenomenology · Physics 2022-03-02 Daniel Baranowski , Maximilian Delto , Kirill Melnikov , Chen-Yu Wang

We compute the complete set of two-loop beam functions for the transverse momentum distribution of the leading jet produced in association with an arbitrary colour-singlet system. Our results constitute the last missing ingredient for the…

High Energy Physics - Phenomenology · Physics 2023-05-17 Samuel Abreu , Jonathan R. Gaunt , Pier Francesco Monni , Luca Rottoli , Robert Szafron

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 present a systematic framework for the calculation of soft functions that are defined in terms of $N\geq2$ light-like Wilson lines. The formalism represents an extension of a method that we developed earlier for the calculation of dijet…

High Energy Physics - Phenomenology · Physics 2018-08-23 Guido Bell , Bahman Dehnadi , Tobias Mohrmann , Rudi Rahn

We introduce a new jet substructure technique called "soft drop declustering", which recursively removes soft wide-angle radiation from a jet. The soft drop algorithm depends on two parameters--a soft threshold $z_\text{cut}$ and an angular…

High Energy Physics - Phenomenology · Physics 2014-06-03 Andrew J. Larkoski , Simone Marzani , Gregory Soyez , Jesse Thaler

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 propose an implicit regularisation scheme. The main advantage is that since no explicit use of a regulator is made, one can in principle avoid undesirable symmetry violations related to its choice. The divergent amplitudes are split into…

High Energy Physics - Theory · Physics 2009-10-31 A. Brizola , O. A. Battistel , Marcos Sampaio , M. C. Nemes

The hemisphere soft function is calculated to order alpha_s^2. This is the first multi-scale soft function calculated to two loops. The renormalization scale dependence of the result agrees exactly with the prediction from effective field…

High Energy Physics - Phenomenology · Physics 2011-09-16 Randall Kelley , Robert M. Schabinger , Matthew D. Schwartz , Hua Xing Zhu

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

We investigate the exclusive jet mass distribution in e+e- events, defined with a veto on the out-of-jet radiation, at two-loop order. In particular, we calculate the two-loop soft function, which is required to describe this distribution…

High Energy Physics - Phenomenology · Physics 2013-05-30 Randall Kelley , Matthew D. Schwartz , Robert M. Schabinger , Hua Xing Zhu

We present a new framework for computing resummed and matched distributions in processes with many hard QCD jets. The intricate color structure of soft gluon emission at large angles renders resummed calculations highly non-trivial in this…

High Energy Physics - Phenomenology · Physics 2015-02-19 Erik Gerwick , Stefan Hoeche , Simone Marzani , Steffen Schumann

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

Jet grooming algorithms are widely used in experimental analyses at hadron colliders to remove contaminating radiation from within jets. While the algorithms perform a great service to the experiments, their intricate algorithmic structure…

High Energy Physics - Phenomenology · Physics 2016-08-24 Christopher Frye , Andrew J. Larkoski , Matthew D. Schwartz , Kai Yan
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