Renormalization and the equivalence theorem: On-shell scheme

Journal Article · Fri Dec 01 04:00:00 EST 1995 · Physical Review, D

DOI:https://doi.org/10.1103/PhysRevD.52.6530· OSTI ID:133005

Espriu, D; Matias, J ^[1]

---

1. Departament d`Estructura i Constituents de la Materia, Facultat de Fisica, Universitat de Barcelona, Diagonal 647, E-08028 Barcelona (Spain)

We perform an exhaustive analysis of the equivalence theorem both in the minimal standard model and in an effective electroweak chiral Lagrangian up to {ital O}({ital p}{sup 4}). We have considered the leading corrections to the usual prescription consisting in just replacing longitudinally polarized {ital W} or {ital Z} by the corresponding Goldstone bosons. The corrections appear through an overall constant multiplying the Goldstone boson amplitude as well as through additional diagrams. By including them we can extend the domain of applicability of the equivalence theorem, making it suitable for precision tests of the symmetry-breaking sector of the standard model. The on-shell scheme has been used throughout. When considering the equivalence theorem in an effective chiral Lagrangian we analyze its domain of applicability, as well as several side issues concerning gauge fixing, Ward identities, the on-shell scheme, and matching conditions in the effective theory. We analyze in detail the processes {ital W}{sup +}{ital W}{sup {minus}}{r_arrow}{ital W}{sup +}{ital W}{sup {minus}} and {ital W}{sup +}{ital W}{sup +}{r_arrow}{ital W}{sup +}{ital W}{sup +} to illustrate the points made.

• OSTI ID: 133005
• Journal Information: Physical Review, D, Journal Name: Physical Review, D Journal Issue: 11 Vol. 52; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
CHIRAL SYMMETRY
EQUIVALENCE PRINCIPLE
GOLDSTONE BOSONS
LAGRANGIAN FUNCTION
RENORMALIZATION
STANDARD MODEL
SYMMETRY BREAKING
W MINUS BOSONS
W PLUS BOSONS
Z NEUTRAL BOSONS