The planar four-point master integrals for massive two-loop Bhabha scattering

Abstract

We present the values of the complete set of planar four-point Master Integrals needed for massive Bhabha scattering in the limit of fixed angle and high energy at the two-loop level. The integrals have been calculated using direct expansions of Mellin-Barnes representations, followed by a resummation of resulting harmonic series.

The International Linear Collider Technical Design Report - Volume 4: Detectors

“…The cross section can be calculated precisely from theory [328], and the luminosity, L, is obtained as L = N B / ‡ B , where ‡ B is the integral of the di erential cross section over the considered polar angle range, and N B the number of counted events in the same range. Bhabha scattering events were generated using the BHWIDE generator [329].…”

W pair production at the LHC I. Virtual 𝒪(αs2) corrections in the high energy limit

“…[25 -27] which is, at its turn, an evolution of the methods employed in refs. [28,29]. The amplitude is…”

SecDec: A general program for sector decomposition

“…[5,6,7]. More recently, the method has been used to numerically check a number of analytic three-loop and four-loop results [8,9,10,11,12,13,14,15,16,17,18,19,20,21], most of them produced by either the public program FIESTA [22,23] or the code which is described in the present article. Further references about recent applications of sector decomposition to multi-loop calculations can be found in [23,24].…”