Abstract
In this paper, we present analytic results for scalar one-loop two-, three-, four-point Feynman integrals with complex internal masses. The calculations are considered in general space-time dimension D for two- and three-point functions and D=4 for four-point functions. The analytic results are expressed in terms of the Carlson hypergeometric functions (ℛ-functions) and valid for both real and complex internal masses.
Highlights
In order to confront particle physics theory with high-precision of experimental data at future colliders, theoretical predictions including high-order corrections are required
In this paper, based on the method in [5,6,7,8], we present analytic results for scalar one-loop two, three, fourpoint Feynman integrals with complex internal masses
The analytic results are expressed in terms of the Carlson hypergeometric functions
Summary
In order to confront particle physics theory with high-precision of experimental data at future colliders, theoretical predictions including high-order corrections are required. In this paper, based on the method in [5,6,7,8], we present analytic results for scalar one-loop two-, three-, fourpoint Feynman integrals with complex internal masses. [5,6,7], we present the calculations for scalar oneloop functions with complex internal masses. In parallel space which is the linear span of the external momenta and its orthogonal space (POS) [5, 6], scalar one-loop N-point functions are taken the form of:. We present analytic results for scalar one-loop two-, three- and four-point functions. Detailed calculations for these functions have published in.
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