The massless non-adjacent double off-shell scalar box integral — branch cut structure and all-order epsilon expansion

Abstract

Abstract We generalize the result of our recent paper on the massless single off-shell scalar box integral to the case of two non-adjacent end points off the light cone. An analytic result in d = 4 − 2ε dimensions is established in terms of four Gauss hypergeometric 2F1 functions respectively their single-valued counterparts. This allows for an explicit splitting of real and imaginary parts, as well as an all-order ε-expansion in terms of single-valued polylogarithms.

Keywords

• Higher-Order Perturbative Calculations
• Renormalization and Regularization
• Deep Inelastic Scattering or Small-x Physics