Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2004-11-24
Nucl.Phys. B716 (2005) 280-302
Physics
High Energy Physics
High Energy Physics - Phenomenology
24 pages, 15 figures. Formulas in Appendix B corrected, changes in Section 3, references added
Scientific paper
10.1016/j.nuclphysb.2005.03.010
Recently, we evaluated the virtual cross-section for Bhabha scattering in pure QED, up to corrections of order alpha^4 (N_F =1). This calculation is valid for arbitrary values of the squared center of mass energy s and momentum transfer t; the electron and positron mass m was considered a finite, non vanishing quantity. In the present work, we supplement the previous calculation by considering the contribution of the soft photon emission diagrams to the differential cross-section, up to and including terms of order alpha^4 (N_F=1). Adding the contribution of the real corrections to the renormalized virtual ones, we obtain an UV and IR finite differential cross-section; we evaluate this quantity numerically for a significant set of values of the squared center of mass energy s.
Bonciani R.
der Bij J. van J.
Ferroglia Andrea
Mastrolia Pierpaolo
Remiddi Ettore
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