Flavour and Higgs physics in Z2-symmetric 2HD models near the decoupling limit

With no evidence of any exotic particle detected so far beyond the Standard Model, the new physics may lie above the presently accessible energies at colliders and, at low-energies, can be accounted for via an effective description. The interplay of flavour and Higgs physics data allows setting stringent bounds on the parameters of the effective Lagrangian. In this paper, we focus on Z2-symmetric two Higgs doublet models near the decoupling limit: the corresponding effective description relies on only a few parameters, thus predicting many interesting correlations between observables that work as tests of the theory. We present the results of a global fit to the existing data, updating and extending over the past literature. We comment on the triple Higgs coupling as a probe of an extended scalar sector and on the recent CDF II measurement of the W-mass ; A.d.G. and L.M. acknowledge partial financial support by the Spanish Research Agency (Agencia Estatal de Investigación) through the grant IFT Centro de Excelencia Severo Ochoa No. CEX2020-001007-S and by the grant PID2019-108892RB-I00 funded by MCIN/AEI/10.13039/501100011033, by the European Union’s Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie grant agreements No. 860881-HIDDeN and 101086085-ASYMMETRY. The work of A.d.G. is supported by the European Union’s Horizon 2020 Marie Skłodowska-Curie grant agreement No. 860881-HIDDeN. The research of S.P. has received partial financial support by the National Science Centre, Poland, grant DEC-2018/31/B/ST2/02283