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.

arXiv comment22 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

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• 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