Interpreting electroweak precision data including the $W$-mass CDF anomaly

Abstract

We perform a global fit of electroweak data, finding that the anomaly in the $W$ mass claimed by the CDF collaboration can be reproduced as a universal new-physics correction to the $T$ parameter or $|H^{†}{D}_{\mu }H{|}^2$ operator. Contributions at tree-level from multi-TeV new physics can fit the anomaly compatibly with collider bounds: we explore which scalar vacuum expectation values (such as a triplet with zero hypercharge), $Z^{\prime }$ vectors (such as a $Z^{\prime }$ coupled to the Higgs only), little-Higgs models or higher-dimensional geometries provide good global fits. On the other hand, new physics that contributes at loop-level must be around the weak scale to fit the anomaly. Thereby it generically conflicts with collider bounds, that can be bypassed assuming special kinematics like quasi-degenerate particles that decay into Dark Matter (such as an inert Higgs doublet or appropriate supersymmetric particles).

18 pages, 8 figures. v2: expanded discussion; webinar presentation: https://www.youtube.com/watch?v=GrV2MyxQJnA. v3: new top mass from CMS and new strong LHC bounds on $W,Y$ oblique parameters. v4: expanded discussion; final version to appear on JHEP; results unchanged but I now fit CDF only rather than the average of all W-mass measurements

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