Three-loop electroweak corrections to the W-boson mass and sin^2 theta_eff in the large Higgs mass limit

Abstract

We present an analytical calculation of the leading three-loop radiative correction to the S-parameter in the Standard Model in the large Higgs mass limit. Numerically, S^(3) = 1.1105*g^4/(1024 pi^3)*m_H^4/M_W^4. When combined with the corresponding three-loop correction to the rho-parameter, this leads to shifts of Delta^(3) sin^2 theta_eff = 4.6*10^-9*m_H^4/M_W^4 in the effective weak mixing angle and Delta^(3) M_W = -6.3*10^-4*MeV*m_H^4/M_W^4 in the W boson mass. For both of these observables, the sign of the three-loop correction is equal to that of the one-loop correction.

12 pages, two Figures

References in corpus (4)

• Automatic Integral Reduction for Higher Order Perturbative Calculations
• Precise Prediction for the W-Boson Mass in the Standard Model
• Complete Two-Loop Electroweak Fermionic Corrections to sin^2(theta_eff) and Indirect Determination of the Higgs Boson Mass
• Three-Loop Electroweak Correction to the Rho Parameter in the Large Higgs Mass Limit

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