Four-denominator angular phase-space integrals are computed to O(epsilon^0) in dimensional regularization and expressed in GPLs for massless and massive momenta.
Asymptotic behavior of angular integrals in the massless limit
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abstract
We investigate the small-mass asymptotics of a class of massive $d$ dimensional angular integrals. These integrals arise in a wide range of perturbative quantum field theory calculations. We derive expressions characterizing their behavior in the vicinity of the massless limit for all cases with up to two denominators. The results established in this work are applicable to phase-space calculations where an integration over virtuality including the massless limit is required.
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Angular phase-space integrals with four denominators through Mellin--Barnes
Four-denominator angular phase-space integrals are computed to O(epsilon^0) in dimensional regularization and expressed in GPLs for massless and massive momenta.