Abstract
In the present article we consider the short description of the “Finite-Temperature Higgs Potentials” program for calculating loop integrals at vanishing external momenta and applications for extended Higgs potentials reconstructions. Here we collect the analytic forms of the relevant loop integrals for our work in reconstruction of the effective Higgs potential parameters in extended models (MSSM, NMSSM and etc.).
Highlights
Algebraic-Derivative recursion methodThe smallness of external state masses relative to the masses of loop particles allows us to take the limit where the external particles are massless
In order to derive asymptotic results we expand B0(p2, m21, m22) in powers of the external momentum p2: B0(p2, m21, m22)
It is necessary to keep the external momentum pμ general (i. e. nonzero) until it can be converted into an external mass in the amplitude, after which point one may take accurate limit p → 0, especially in the cases with equivalent internal masses in loop
Summary
The smallness of external state masses relative to the masses of loop particles allows us to take the limit where the external particles are massless These integrals are easy to solve using algebraic recursion relations or residue method ( remember [1]). E. nonzero) until it can be converted into an external mass in the amplitude, after which point one may take accurate limit p → 0, especially in the cases with equivalent internal masses in loop. In d dimensions such two-point loop integral B0 is defined as:.
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