Abstract
In this paper we compute the electroweak corrections to the charged Higgs boson decay into a W boson and a neutral Higgs boson in the CP-conserving NMSSM. We calculate the process in a general R_xi gauge and investigate the dependence of the loop-corrected decay width on the gauge parameter xi . The gauge dependence arises from the mixing of different loop orders. Phenomenology requires the inclusion of mass and mixing corrections to the external Higgs bosons in order to match the experimentally measured mass values. As a result, we move away from a strict one-loop calculation and consequently mix orders in perturbation theory. Moreover, determination of the loop-corrected masses in an iterative procedure also results in the mixing of different loop orders. Gauge dependence then arises from the mismatch with tree-level Goldstone boson couplings that are applied in the loop calculation, and from the gauge dependence of the loop-corrected masses themselves. We find that the gauge dependence is significant.
Highlights
We briefly introduce the Higgs sector of the nextto-minimal supersymmetric extension of the Standard Model (SM) (NMSSM) and set up the notation required both for the calculation of the charged Higgs decays as well as for the discussion of the higher-order-corrected neutral Higgs boson masses
In this paper we investigated the influence of the gauge parameter both on the higher-order corrections to the NMSSM Higgs boson masses and the partial decay width of H ± → W ±hi, calculated in general Rξ gauge
The gauge dependence enters through the mixing of loop orders: for the masses, this happens due to the application of an iterative method to determine the loop-corrected mass values
Summary
A clear manifestation of extended Higgs sectors would be the discovery of a charged Higgs boson that is not present in the SM. The loop-corrected Higgs boson masses are defined through the complex poles of the propagator matrix which are evaluated by using an iterative method While this method gives precise values of the complex poles, it mixes the contributions of different orders of perturbation theory and introduces a dependence on the gauge parameter. With the loop corrections to the light Higgs boson masses and the mixing matrix being substantial the gauge dependence turns out to be significant and much more important than in the minimal supersymmetric extension of the SM (MSSM) as discussed in this work. We follow up with a general discussion of gauge dependences encountered in the decay before presenting improved effective decay widths that include higherorder-corrected external Higgs states in different approximations.
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