Resolving the tensor structure of the Higgs coupling to $Z$-bosons via Higgs-strahlung

Abstract

We propose differential observables for $pp\to Z({\ell }^{+}{\ell }^{-})h(b\bar{b})$ that can be used to completely determine the tensor structure of the $hZ{Z}^{\ast }/hZ\bar{f}f$ couplings relevant to this process in the dimension-6 SMEFT. In particular, we propose a strategy to probe the anomalous $h{Z}_{\mu \nu }{Z}^{\mu \nu }$ and $h{Z}_{\mu \nu }{\tilde{Z}}^{\mu \nu }$ vertices at the percent level. We show that this can be achieved by resurrecting the interference term between the transverse $Zh$ amplitude, which receives contributions from the above couplings, and the dominant SM longitudinal amplitude. These contributions are hard to isolate without a knowledge of the analytical amplitude, as they vanish unless the process is studied differentially in three different angular variables at the level of the $Z$-decay products. By also including the differential distributions with respect to energy variables, we obtain projected bounds for the two other tensor structures of the Higgs coupling to $Z$-bosons.

Comments: v2: 9 pages, 2 figures and 2 tables; minor numerical corrections; conclusions unchanged; matches version published in PRD