Gauge invariant three boson vertices in the Standard Model and the static properties of the W

Oct 5, 1993
45 pages
Published in:
  • Phys.Rev.D 48 (1993) 4255-4268
e-Print:
Report number:
  • PRINT-93-0716 (NEW-YORK)

Citations per year

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Abstract:
: We use the S-matrix pinch technique to derive to one loop-order gauge independent γW +W \gamma W~{+} W~{-} and Z W +W W~{+} W~{-} vertices in the context of the Standard Model,with all three incoming momenta off-shell. We show that the γW +W \gamma W~{+} W~{-} vertex so constructed is related to the gauge-independent W self-energy,derived by Degrassi and Sirlin,by a very simple QED-like Ward identity.The same results are obtained by the pinch technique applied directly to the process e +e W +W e~{+}e~{-} \rightarrow W~{+}W~{-}. Explicit calculations give rise to expressions for the static properties of the W gauge bosons like magnetic dipole and electric quadruple moments which being gauge independent satisfy such crucial properties as infrared finiteness and perturbative unitarity.
  • vertex function: (3gauge boson)
  • vertex function: (W+ W- photon)
  • vertex function: (W+ W- Z0)
  • W: electric moment
  • W: magnetic moment
  • magnetic moment: W
  • invariance: gauge
  • S-matrix
  • Feynman graph: higher-order
  • Ward identity