Direct one loop renormalization of SU(2)-L x U(1)-Y four fermion processes and running coupling constants

Kuroda, M.; Moultaka, G.; Schildknecht, D.

doi:10.1016/0550-3213(91)90252-S

Direct one loop renormalization of SU(2)-L x U(1)-Y four fermion processes and running coupling constants

Jul, 1990

48 pages

Published in:

Nucl.Phys.B 350 (1991) 25-72

Published: 1991

DOI:

10.1016/0550-3213(91)90252-S

Report number:

CERN-TH-5818-90,
BI-TP-90-25

View in:

CERN Document Server

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Abstract: (Elsevier)

Within the SU(2) L × U(1) electroweak theory, by combining (bosonic) vacuum polarization with vertex and box contributions, we derive gauge-invariant (one-loop) dressed propagators for the W ± -boson and the γW 3 system in a straightforward manner. By introducing running couplings and masses, the corresponding four-fermion amplitudes are cast into a Born term form. The subsequent “direct renormalization” expresses the running quantities in terms of their values at a chosen scale. Among other things, the value of Δr is rederived, and a comparison of our procedure and results with the results in the literature is carried out. Care is taken to give a transparent presentation of all physically relevant steps.

gauge field theory: SU(2) x U(1)
renormalization
W: propagator
invariance: gauge
intermediate boson: mass
mass: intermediate boson
radiative correction
charged current
neutral current
four-fermion interaction

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