Partial compositeness under precision scrutiny

TL;DR

This paper examines how top partial compositeness affects electroweak precision measurements, revealing new sources of S and T parameter shifts due to gauge coupling misalignments, relevant for models explaining the W mass anomaly.

Contribution

It identifies novel contributions to electroweak parameters from gauge misalignments in top partial compositeness models, applicable to a broad class of composite Higgs theories.

Findings

New source for S in singlet mixing case

Positive T shift from gauge misalignment, compatible with W mass measurement

Results apply to any composite Higgs model with top partial compositeness

Abstract

We revisit the impact of top partial compositeness on electroweak precision observables in the misaligned vacuum basis. We identify a new source for $S$ in the singlet mixing case, and for $S$-$T$ in the bi-doublet mixing, stemming from misalignment in the gauge couplings of the top partners. Hence, a positive shift in $T$ can be obtained in both cases, as preferred by the recent CDF measurement of the $W$ mass. These results, obtained for the minimal fundamental coset SU(4)/Sp(4), apply to any composite Higgs model with top partial compositeness.