Two-Loop N_F =1 QED Bhabha Scattering: Soft Emission and Numerical Evaluation of the Differential Cross-section

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, no...

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Detalles Bibliográficos
Autores principales: Bonciani, R., Ferroglia, A., Mastrolia, P., Remiddi, E., van der Bij, J.J.
Lenguaje:eng
Publicado: 2004
Materias:
Particle Physics - Phenomenology
Acceso en línea:https://dx.doi.org/10.1016/j.nuclphysb.2005.03.010
http://cds.cern.ch/record/807155
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author Bonciani, R.
Ferroglia, A.
Mastrolia, P.
Remiddi, E.
van der Bij, J.J.
author_facet Bonciani, R.
Ferroglia, A.
Mastrolia, P.
Remiddi, E.
van der Bij, J.J.
author_sort Bonciani, R.
collection CERN
description 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.
id cern-807155
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2004
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spelling cern-8071552019-09-30T06:29:59Zdoi:10.1016/j.nuclphysb.2005.03.010http://cds.cern.ch/record/807155engBonciani, R.Ferroglia, A.Mastrolia, P.Remiddi, E.van der Bij, J.J.Two-Loop N_F =1 QED Bhabha Scattering: Soft Emission and Numerical Evaluation of the Differential Cross-sectionParticle Physics - PhenomenologyRecently, 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.Recently, we evaluated the virtual cross-section for Bhabha scattering in pure QED, up to corrections of order α 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, nonvanishing 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 α 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 .hep-ph/0411321FREIBURG-THEP-04-19UCLA-04-TEP-60oai:cds.cern.ch:8071552004-11-24
spellingShingle Particle Physics - Phenomenology
Bonciani, R.
Ferroglia, A.
Mastrolia, P.
Remiddi, E.
van der Bij, J.J.
Two-Loop N_F =1 QED Bhabha Scattering: Soft Emission and Numerical Evaluation of the Differential Cross-section
title Two-Loop N_F =1 QED Bhabha Scattering: Soft Emission and Numerical Evaluation of the Differential Cross-section
title_full Two-Loop N_F =1 QED Bhabha Scattering: Soft Emission and Numerical Evaluation of the Differential Cross-section
title_fullStr Two-Loop N_F =1 QED Bhabha Scattering: Soft Emission and Numerical Evaluation of the Differential Cross-section
title_full_unstemmed Two-Loop N_F =1 QED Bhabha Scattering: Soft Emission and Numerical Evaluation of the Differential Cross-section
title_short Two-Loop N_F =1 QED Bhabha Scattering: Soft Emission and Numerical Evaluation of the Differential Cross-section
title_sort two-loop n_f =1 qed bhabha scattering: soft emission and numerical evaluation of the differential cross-section
topic Particle Physics - Phenomenology
url https://dx.doi.org/10.1016/j.nuclphysb.2005.03.010
http://cds.cern.ch/record/807155
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AT ferrogliaa twoloopnf1qedbhabhascatteringsoftemissionandnumericalevaluationofthedifferentialcrosssection
AT mastroliap twoloopnf1qedbhabhascatteringsoftemissionandnumericalevaluationofthedifferentialcrosssection
AT remiddie twoloopnf1qedbhabhascatteringsoftemissionandnumericalevaluationofthedifferentialcrosssection
AT vanderbijjj twoloopnf1qedbhabhascatteringsoftemissionandnumericalevaluationofthedifferentialcrosssection

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