The electroweak form factor \hatκ(q^2) and the running of \sin^2 \hatθ_W

Details The electroweak form factor \hatκ(q^2) and the running of \sin^2 \hatθ_W The electroweak form factor \hatκ(q^2) and the running of \sin^2 \hatθ_W

2003-07-16

arxiv.org/abs/hep-ph/0307200v2

Eur.Phys.J. C34 (2004) 165-171

Physics

High Energy Physics

High Energy Physics - Phenomenology

A new paragraph has been inserted at the beginning of the discussion in Section 4

Scientific paper

10.1140/epjc/s2004-01604-1

Gauge independent form factors \rho^(e; e) and \hat{\kappa}^(e; e)(q^2) for Moller scattering at s << m_W^2 are derived. It is pointed out that \hat{\kappa}^(e; e) is very different from its counterparts in other processes. The relation between the effective parameter \hat{\kappa}^(e; e)(q^2,\mu) \sin^2 \hat{\theta}_W(\mu) and \sin^2 \theta_eff is derived in a scale-independent manner. A gauge and process-independent running parameter \sin^2 \hat{\theta}_W (q^2), based on the pinch-technique self-energy a_{\gamma Z} (q^2), is discussed for all q^2 values. At q^2=0 it absorbs very accurately the Czarnecki-Marciano calculation of the Moller scattering asymmetry at low s values, and at q^2 = m^2_Z it is rather close to \sin^2 \theta_eff. The q^2 dependence of \sin^2 \hat{\theta}_W (q^2) is displayed in the space and time-like domains.

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