NNLO zero-jettiness beam and soft functions to higher orders in the dimensional-regularization parameter $\epsilon$

Abstract

We present the calculation of the next-to-next-to-leading order (NNLO) zero-jettiness beam and soft functions, up to the second order in the expansion in the dimensional regularization parameter $\epsilon$. These higher order terms are needed for the computation of the next-to-next-to-next-to-leading order (N${}^3$LO) zero-jettiness soft and beam functions. As a byproduct, we confirm the $O({\epsilon }^0)$ results for NNLO beam and soft functions available in the literature.

26 pages, 1 figure

References in corpus (10)

• An NNLO subtraction formalism in hadron collisions and its application to Higgs boson production at the LHC
• Vector boson production at hadron colliders: a fully exclusive QCD calculation at NNLO
• ZZ production at hadron colliders in NNLO QCD
• Algorithms for the symbolic integration of hyperlogarithms with applications to Feynman integrals
• Quark and gluon form factors to three loops
• HypExp 2, Expanding Hypergeometric Functions about Half-Integer Parameters
• Fragmentation in Jets at NNLO
• The Gluon Beam Function at Two Loops
• Quark beam function at next-to-next-to-next-to-leading order in perturbative QCD in the generalized large-$N_c$ approximation
• The spin-dependent quark beam function at NNLO

Cited by in corpus (4)

• Collinear expansion for color singlet cross sections
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• Asymptotic behavior of angular integrals in the massless limit
• QCD Beyond Leading Power