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Recursion-free solution for two-loop vacuum integrals with collinear masses
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DOI：10.1007/JHEP12(2022)047.png)
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We investigate the structure of a particular class of massive vacuum Feynman integrals at two loops. This class enjoys the linear relation m(1) + m(2) = m(3) between its three propagator masses, corresponding to zeros of the associated Kallen 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.
Keyword:
Higher-Order Perturbative Calculations
Effective Field Theories of QCD
Renormalization and Regularization
Thermal Field Theory
期刊
IF:
5.5
论文数:
4.0W
被引数:
13.7W
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