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Soft and Jet functions for SCET at four loops in QCD

2025/12/29 by Goyal, Saurav, Moch, Sven-Olaf, Pathak, Vaibhav +1
#FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph)

paper · doi:10.48550/arxiv.2512.23666

Abstract

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, soft, and beam functions. As the latter are universal, they can be obtained from the well-known perturbative results in quantum chromodynamics (QCD) for deep-inelastic scattering, Drell-Yan and Higgs boson productions. Using the recent results ~\citeKniehl:2025ttz on four-loop eikonal (fI) and collinear anomalous dimensions (BI) for quarks and gluons, I=q,g, as well as perturbative results from previous orders, we present four-loop predictions for the quark and gluon soft and jet functions. They constitute an important component of the N-jettiness subtraction method at \rmN4LO accuracy in QCD, which eventually may enable the calculation of fully-differential cross sections at higher orders.

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