Precise calculation of MW, sin^2 theta_MSbar, and sin^2 theta_eff

TL;DR

This paper improves the precision of electroweak parameter calculations by including two-loop corrections and novel resummation schemes, reducing theoretical uncertainties and providing updated Higgs and W boson mass estimates.

Contribution

It introduces two new on-shell resummation schemes and incorporates two-loop corrections, enhancing the accuracy of MW, sin^2 theta_MSbar, and sin^2 theta_eff calculations.

Findings

Reduced scheme and scale dependence in calculations.

Updated Higgs mass estimate: 127 +143 -71 GeV.

W boson mass: 80.367 +/- 0.048 GeV.

Abstract

The two-loop O(g^4 mt^2/mw^2) corrections are incorporated in the theoretical calculation of MW, sin^2 theta_MSbar(MZ), and sin^2 theta_eff, as functions of MH. The analysis is carried out in a previously proposed MSbar formulation and two novel on-shell resummation schemes. It is found that the inclusion of the new effects sharply decreases the scheme and residual scale dependence of the calculations. QCD corrections are incorporated in two different approaches. Comparison with the world average of sin^2 theta_eff leads to MH= 127 +143 -71 GeV and MW= 80.367 +/- 0.048 GeV, with small variations among the six calculations.