Electroweak Precision Fit and New Physics in light of $W$ Boson Mass

Abstract

The $W$ boson mass is one of the most important electroweak precision observables for testing the Standard Model or its extensions. The very recent measured $W$ boson mass at CDF shows about $7\sigma$ deviations from the SM prediction, which may challenge the internal consistency of the SM. By performing the global electroweak fit with the new $W$-boson, we present the new values of the oblique parameters: $S=0.06\pm 0.10$, $T=0.11\pm 0.12$, $U=0.13\pm 0.09$, or $S=0.14\pm 0.08$, $T=0.26\pm 0.06$ with $U=0$ and the corresponding correlation matrices, which strongly indicates the need for the non-degenerate multiplets beyond the SM. As a proof-of-concept, we show that the new results can be accommodated in the two-Higgs doublet model, where the charged Higgs boson has to be either heavier or lighter than both two heavy neutral Higgs bosons. Therefore, searching for these non-SM Higgs bosons will provide a complementary way to test the new physics for the $W$ boson mass anomaly.

two columns, 10 pages, 8 figures

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