Complete Two-Loop Electroweak Fermionic Corrections to sin^2(theta_eff) and Indirect Determination of the Higgs Boson Mass

Abstract

We present a complete calculation of the contributions to the effective leptonic weak mixing angle, sin^2theta_eff, generated by closed fermion loops at the two-loop level of the electroweak interactions. This quantity is the source of the most stringent bound on the mass, M_H, of the only undiscovered particle of the Standard Model, the Higgs boson. The size of the corrections with respect to known partial results varies between -4*10^-5 and -8*10^-5 for a realistic range of M_H from 100 to 300 GeV. This translates into a shift of the predicted (from sin^2theta_eff alone) central value of M_H by +19 GeV, to be compared with the shift induced by a recent change in the measured top quark mass which amounts to +36 GeV. Our result, together with all other known corrections is given in the form of a precise fitting formula to be used in the global fit to the electroweak data.

Figures (2)

• Figure 1: Two-loop vertex diagrams entering the calculation.
• Figure 2: The $\sin^2\theta^{\hbox{\footnotesize lept}}_{\hbox{\footnotesize eff}}$ prediction against the current experimental value, with 1$\sigma$ bands from the experimental input.