Bhabha process at LEP — theoretical calculations

Abstract

In this contribution we give a short overview of the situation in the precision calculation of the Bhabha process and we present a preliminary numerical result on the second-order sub-leading correction to the small angle Bhabha process.

Exact differentialO(α2)results for hard bremsstrahlung ine+Jadach1, Melles2, Ward3 et al. 2002Phys. Rev. D170570View full textAdd to dashboardCite

“…For the t-channel case, we presented similar results in Ref. [10] in connection with the respective O(α 2 )L corrections needed for the 0.061% (0.054%) total precision tag achieved in Ref. [11] for the LEP1/SLC luminosity process in the Monte Carlo event generator BHLUMI4.04 in Ref.…”

“…Our previous calculations of t-channel bremsstrahlung [10] used the Chinese Magic conventions [14] for the photon polarizations. The GPS version of the magic photon polarization vector is related to the Chinese Magic conventions [14] by…”

“…As in Ref. [10], we only present the final simplified expressions in this paper for the sake of clarity.…”

“…[10]. Specifically, we express the exact amplitude for one real and one virtual photon emitted from the electron lines in the process e + e − → ff + γ using the GPS conventions [2,6,7].…”

“…The factors I 1,2 are crossed versions of (I 1 ± I 2 )/2I 0 in Ref. [10]. We will begin by writing the dominant term f 0 .…”