Radiative corrections to leptonlepton scattering revisited

N Kaiser (1)

1 Physik-Department T39

We calculate in closed analytical form the one-loop radiative corrections to electronelectron scattering e − e − → e − e −. Explicit expressions (in terms of dimensionless Mandelstam variables) are given for the pertinent interference terms between the tree diagrams and the one-loop diagrams. Infrared finiteness of these virtual radiative corrections is achieved (in the standard way) by including soft photon radiation below an energy cut-off λ. We evaluate the remaining finite part of the soft photon correction factor in the centerof-mass frame. These results can be also utilized for Bhabha scattering e − e + → e − e + and for elastic muon scattering µ − µ ∓ → µ − µ ∓. Furthermore, we calculate in the same way the one-loop radiative corrections to the scattering of unequal leptons e − µ − → e − µ − and apply them likewise to the muon pair production process e − e + → µ + µ −. In contrast to most other calculations of these radiative corrections we keep the full dependence on the lepton masses. Effects from hard photon radiation which are also important for a direct comparison with (a specific) experiment are not treated explicitly.

Mots clés: : 12.20.-m; 12.20.Ds; 14.70.Bh

N Kaiser. Radiative corrections to leptonlepton scattering revisited. Journal of Physics G: Nuclear and Particle Physics, 2010, 37 (11), pp.115005. ⟨10.1088/0954-3899/37/11/115005⟩. ⟨hal-00600777⟩