Recursion-free solution for two-loop vacuum integrals with "collinear" masses
arXiv:2210.10593 · doi:10.1007/JHEP12(2022)047
Abstract
We investigate the structure of a particular class of massive vacuum Feynman integrals at two loops. This class enjoys the linear relation between its three propagator masses, corresponding to zeros of the associated Källén function. Apart from having applications in thermal field theory, the integrals can be mapped onto one-loop three-point functions with collinear external momenta, suggesting the term "collinear" masses. We present a closed-form solution for these integrals, proving that they can always be factorized into products of one-loop cases, for all integer-valued propagator powers.
arXiv comment34 pages, 5 figures; v2: references added
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