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Analytic integration of real-virtual counterterms in NNLO jet cross sections I

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abstract

We present analytic evaluations of some integrals needed to give explicitly the integrated real-virtual integrated counterterms, based on a recently proposed subtraction scheme for next-to-next-to-leading order (NNLO) jet cross sections. After an algebraic reduction of the integrals, integration-by-parts identities are used for the reduction to master integrals and for the computation of the master integrals themselves by means of differential equations. The results are written in terms of one- and two-dimensional harmonic polylogarithms, once an extension of the standard basis is made. We expect that the techniques described here will be useful in computing other integrals emerging in calculations in perturbative quantum field theories.

fields

hep-ph 1

years

2026 1

verdicts

UNVERDICTED 1

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  • Projected Energy Correlators: Two-Loop Jet Functions and NNLL Resummation hep-ph · 2026-06-01 · unverdicted · none · ref 50 · internal anchor

    Computes two-loop jet functions for N=4,5,6 projected energy correlators enabling NNLL collinear resummation matched to NLO in e+e- and Higgs-to-gluons processes, with non-perturbative corrections from two universal soft matrix elements.