On-shell gauge-parameter independence of contributions to electroweak quark self-energies

We allow an external condensate to enter standard SU(2) x U(1) electroweak theory via the vacuum expectation value , as in QCD sum-rule applications. For a given flavor, we then find that any gauge-parameter dependence of quark self-energies on the ''mass shell'' is eliminated pr...

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Veröffentlicht in:Phys. Rev. D; (United States) 1989-05, Vol.39 (9), p.2764
Hauptverfasser: Ahmady, MR, Elias, V, V, Mendel, RR, Scadron, MD, Steele, T
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Sprache:eng
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Zusammenfassung:We allow an external condensate to enter standard SU(2) x U(1) electroweak theory via the vacuum expectation value , as in QCD sum-rule applications. For a given flavor, we then find that any gauge-parameter dependence of quark self-energies on the ''mass shell'' is eliminated provided that the mass shell is made to coincide with both the expansion-parameter mass occurring in the operator-product expansion of and the standard electroweak mass acquired via the Yukawa coupling to the usual scalar vacuum expectation value of spontaneous symmetry breaking. This result indicates that if the QCD-generated order parameter and associated dynamical mass(es) m/sub q//sup dyn/ are utilized as external input parameters in electroweak calculations involving hadrons, then new corrections must be introduced into the q-barqW and q-barqZ vertices in order to preserve SU(2) x U(1) Ward identities.
ISSN:0556-2821
DOI:10.1103/PhysRevD.39.2764