Three-loop QCD corrections to the electroweak boson masses

Abstract

I find the three-loop corrections at leading order in QCD to the physical masses of the Higgs, W, and Z bosons in the Standard Model. The results are obtained as functions of the $\overline{\mathrm{MS}}$ Lagrangian parameters only, using the tadpole-free scheme for the vacuum expectation value. The dependences of the computed masses on the renormalization scale are found to be smaller than present experimental uncertainties in each case. In the case of the Higgs boson mass, the new result is the state-of-the-art, while the results for $W$ and $Z$ are in good numerical agreement with corresponding results in the on-shell and hybrid schemes. These results are now included in the SMDR (Standard Model in Dimensional Regularization) computer code.

22 pages. v2 includes comparison with the 2022 CDF result for the W boson mass, comparison with results in on-shell and hybrid schemes, and enhanced discussion of the difference between complex pole and PDG-convention masses

References in corpus (17)

• The five-loop beta function of Yang-Mills theory with fermions
• Quark mass relations to four-loop order
• Taming Infrared Divergences in the Effective Potential
• Taming the Goldstone contributions to the effective potential
• Single Scale Tadpoles and O(GF mt^2 as^3) Corrections to the rho Parameter
• Four-Loop QCD Corrections to the Rho Parameter
• Anomalous dimensions of gauge fields and gauge coupling beta-functions in the Standard Model at three loops
• Three-loop SM beta-functions for matrix Yukawa couplings
• Two-loop electroweak threshold corrections in the Standard Model
• Effective potential at three loops
• Gauge coupling beta functions to four-loop order in the Standard Model
• Decoupling of heavy quarks at four loops and effective Higgs-fermion coupling
• Pole mass of the W boson at two-loop order in the pure MS-bar scheme
• High Precision Calculations of the Higgs Boson Mass
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• On the four-loop strong coupling beta-function in the SM
• Renormalized $\epsilon$-finite master integrals and their virtues: the three-loop self energy case

Cited by in corpus (5)

• Testing the Scalar Triplet Solution to CDF's Fat $W$ Problem at the LHC
• The Standard Model at 200 GeV
• SM extension with a gauged flavor $U(1{)}_F$ symmetry
• Evaluation of three-loop self-energy master integrals with four or five propagators
• Higgs Boson Mass Corrections at Three-Loops in the Top-Yukawa Sector of the Standard Model