Recursion-free solution for two-loop vacuum integrals with “collinear” masses

Journal of High Energy Physics

Regular Article - Theoretical Physics

Andrei I. Davydychev¹  York Schröder¹ 

[1] Centro de Ciencias Exactas, Departamento de Ciencias Básicas, Universidad del Bío-Bío, Avenida Andrés Bello 720, Chillán, Chile;

关键词: Higher-Order Perturbative Calculations;    Effective Field Theories of QCD;    Renormalization and Regularization;    Thermal Field Theory;   

DOI  :  10.1007/JHEP12(2022)047

 received in 2022-10-28, accepted in 2022-11-18,  发布年份 2022

来源: Springer

【 摘 要 】

We investigate the structure of a particular class of massive vacuum Feynman integrals at two loops. This class enjoys the linear relation m1 + m2 = m3 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.

【 授权许可】

Unknown   
© The Author(s) 2022