High-precision improved-analytic-exponentiation results for multiple-photon effects in low-angle Bhabha scattering at the SLAC Linear Collider and the CERN e sup + e minus collider LEP

Journal Article · Thu Oct 31 23:00:00 EST 1991 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.44.2669· OSTI ID:6135990

Jadach, S ^[1]; Richter-Was, E ^[2]; Ward, B F.L. ^[3]; Was, Z ^[4]

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1. Theory Division, European Organization for Nuclear Research (CERN), Geneva 23 (Switzerland) Institute of Physics, Jagellonian University, Kracow (Poland)
2. Institute of Computer Science, Jagellonian University, Krakow, ul. Reymonta 5 (Poland)
3. Department of Physics and Astronomy, University of Tennessee, Knoxville, Tennessee (USA) Stanford Linear Accelerator Center, P.O. Box 4349, Stanford, California (USA) Theory Division, European Organization for Nuclear Research (CERN), Geneva 23 (Switzerland)
4. Institute of Nuclear Physics, Krakow, ul. Kawiory 26a (Poland) European Organization for Nuclear Research (CERN), Theory Division, Geneva 23 (Switzerland)

Starting from an earlier benchmark analytical calculation of the luminosity process {ital e}{sup +}{ital e{minus}}{r arrow}{ital e}{sup +}{ital e{minus}}+({gamma}) at the SLAC Linear Collider (SLC) and the CERN {ital e}{sup +}{ital e{minus}} collider LEP, we use the methods of Yennie, Frautschi, and Suura to develop an analytical improved naive exponentiated formula for this process. The formula is compared to our multiple-photon Monte Carlo event generator BHLUMI (1.13) for the same process. We find agreement on the overall cross-section normalization between the exponentiated formula and BHLUMI below the 0.2% level. In this way, we obtain an important cross-check on the normalization of our higher-order results in BHLUMI and we arrive at formulas which represent the LEP/SLC luminosity process in the below 1% {ital Z}{sup 0} physics tests of the SU(2){sub {ital L}}{times}U(1) theory in complete analogy with the famous high-precision {ital Z}{sup 0} line-shape formulas for the {ital e}{sup +}{ital e{minus}}{r arrow}{mu}{sup +}{mu}{sup {minus}} process discussed by Berends {ital et} {ital al}., for example.

• DOE Contract Number: AS05-76ER03956; AC03-76SF00515
• OSTI ID: 6135990
• Journal Information: Physical Review, D (Particles Fields); (United States), Journal Name: Physical Review, D (Particles Fields); (United States) Vol. 44:9; ISSN PRVDA; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

662310 -- Weak & Electromagnetic Interactions of Leptons-- (1992-)
662390* -- Electromagnetic Processes & Properties-- (1992-)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ACCELERATOR FACILITIES
ACCELERATORS
BHABHA SCATTERING
CROSS SECTIONS
ELASTIC SCATTERING
ELECTRODYNAMICS
ELECTRON-POSITRON INTERACTIONS
EMISSION
FIELD THEORIES
INTERACTIONS
LEP STORAGE RINGS
LEPTON-LEPTON INTERACTIONS
LINEAR ACCELERATORS
LUMINOSITY
MASS
MONTE CARLO METHOD
OPTICAL PROPERTIES
PARTICLE INTERACTIONS
PHOTON EMISSION
PHYSICAL PROPERTIES
QUANTUM ELECTRODYNAMICS
QUANTUM FIELD THEORY
REST MASS
SCATTERING
STANFORD LINEAR COLLIDER
STORAGE RINGS