Abstract
We present a complete one-loop computation of the $H^\pm \rightarrow W^\pm Z$ decay in the aligned two-Higgs-doublet model. The constraints from the electroweak precision observables, perturbative unitarity, vacuum stability and flavour physics are all taken into account along with the latest Large Hadron Collider searches for the charged Higgs. It is observed that a large enhancement of the branching ratio can be obtained in the limit where there is a large splitting between the charged and pseudo-scalar Higgs masses as well as for the largest allowed values of the alignment parameter $\varsigma_u$. We find that the maximum possible branching ratio in the case of a large mass splitting between $m_{H^\pm}$ and $m_A$ is $\approx 10^{-3}$ for $m_{H^\pm} \in (200,700)$ GeV which is in the reach of the high luminosity phase of the Large Hadron Collider.
Highlights
Following the discovery of a Higgs-like particle at the Large Hadron Collider, we are a step closer to understanding the electroweak symmetry breaking (EWSB) mechanism in the Standard Model (SM)
The constraints from the electroweak precision observables, perturbative unitarity, vacuum stability, and flavor physics are all taken into account along with the latest Large Hadron Collider searches for the charged Higgs
The custodial symmetry of the SM could have interesting implications if there exists an extended scalar sector. This may give rise to remarkable signatures such as an enhancement of the HÆWÆZ vertex. This vertex is absent at tree level in the 2HDM because of the weak isospin symmetry of the kinetic terms of the Higgs sector and appears at one loop
Summary
Following the discovery of a Higgs-like particle at the Large Hadron Collider, we are a step closer to understanding the electroweak symmetry breaking (EWSB) mechanism in the Standard Model (SM). [15,16] that an enhancement of HÆ → WÆZ is possible due to the nondecoupling effect of the heavy Higgs bosons, i.e., a large mass difference between the CP-odd neutral scalars and the charged Higgs that breaks the custodial symmetry. In the most general version of 2HDMs, there are large flavor changing neutral current (FCNC) interactions that are in conflict with various flavor data This problem is usually avoided by the natural flavor conservation hypothesis, implementing a discrete Z2 symmetry that allows only one scalar field to couple to a given type of right-handed fermion [20,21], and evades tree-level FCNC. In the case of the 2HDM of type II, it was shown that with the soft-breaking parameter being small a large mass difference between the charged and the CP-odd scalars in the nondecoupling limit leads to an enhanced contribution to the decay width from the scalar-loop diagrams [15,16].
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