Order. cap alpha. G/sub F/ corrections to the parity-violating electron-proton potential in the Weinberg-Salam theory

Thesis/Dissertation · Fri Jan 01 04:00:00 EST 1982

OSTI ID:6486574

Lynn, B W

We have calculated the one-loop (..cap alpha..G/sub F/) corrections to the (G/sub F/) lowest-order parity-violating electron-proton potential at low q/sup 2/ (LOE) near sin/sup 2/theta/sub w/ = .23. There are 133 Feynman diagrams in the (standard) Weinberg-Salam theory of electro-weak interactions with one doublet of Higgs' and 3 generations of quarks and leptons. We neglect strong interaction effects inside the proton. Our renormalization procedure is gauge invariant and we find many corrections to the LOE unconsidered by previous authors which are as large or larger than the ones that can be found in the literature. In the end there are many cancellations and the results (to 3% accuracy) are; (i) box diagrams with one Z and an A (photon) give approx.27% correction to C/sub 2P/ for sin/sup 2/theta/sub w/ = .23, (ii) a Z-A mixing counterterm correction which blows up logarithmically for large Higgs' mass M/sub H/ gives approx.37% correction to both C/sub 1P/ and C/sub 2P/ for M/sub H/ = 100 TeV and sin/sup 2/theta/sub w/ = .23, (iii) the 'large log' corrections and 'box graphs with 2 heavy bosons' cancel with previously unconsidered contributions which turn out to be quite large. The sum of all contributions besides (i) and (ii) is negligible. As a check on our results, we calculate many counterterm parameters and Green's functions rather than just matrix elements. We use the Ward identities which come from the fundamental SU(2)/sub L/ X U(1) symmetry of the theory to check the correctness of this very long calculation.

• Research Organization: Columbia Univ., New York (USA)
• OSTI ID: 6486574
• Country of Publication: United States
• Language: English

Related Subjects

645202 -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- Electromagnetic Interactions & Properties
645203 -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- Weak Interactions & Properties
645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOSONS
CORRECTIONS
DIAGRAMS
ELECTRON-NUCLEON INTERACTIONS
ELECTRON-PROTON INTERACTIONS
ELEMENTARY PARTICLES
FEYNMAN DIAGRAM
HIGGS BOSONS
INTERACTIONS
INTERMEDIATE BOSONS
INVARIANCE PRINCIPLES
LEPTON-BARYON INTERACTIONS
LEPTON-HADRON INTERACTIONS
LEPTON-NUCLEON INTERACTIONS
MATHEMATICAL MODELS
P INVARIANCE
PARTICLE INTERACTIONS
PARTICLE MODELS
POSTULATED PARTICLES
POTENTIALS
RENORMALIZATION
UNIFIED GAUGE MODELS
WEINBERG-SALAM GAUGE MODEL