Abstract
We consider the impact of several flavour-changing observables in the $B$- and the Kaon sectors on the parameter space of the NMSSM, in a minimal flavour violating version of this model. Our purpose consists in updating our previous results in arXiv:0710.3714 and designing an up-to-date flavour test for the public package NMSSMTools. We provide details concerning our implementation of the constraints in a series of brief reviews of the current status of the considered channels. Finally, we present a few consequences of these flavour constraints for the NMSSM, turning to two specific scenarios: one is characteristic of the MSSM-limit and illustrates the workings of charged-Higgs and genuinely supersymmetric contributions to flavour-changing processes; the second focus is a region where a light CP-odd Higgs is present. Strong limits are found whenever an enhancement factor - large $\tan\beta$, light $H^{\pm}$, resonant pseudoscalar - comes into play.
Highlights
SM, and on the magnitude of the effects induced beyond the SM (BSM).In this paper, we will consider the well-motivated supersymmetric (SUSY) extension of the SM known as the Nextto-Minimal Supersymmetric Standard Model (NMSSM) – see [3] for a review – in a minimal flavour-violating version: we will assume that the squark sector is aligned with the mass-states in the quark sector, so that, at tree-level, only charged particles convey flavour-violating effects, which are always proportional to the Cabbibbo–Kobayashi– Maskawa (CKM) matrix
We will consider the well-motivated supersymmetric (SUSY) extension of the SM known as the Nextto-Minimal Supersymmetric Standard Model (NMSSM) – see [3] for a review – in a minimal flavour-violating version: we will assume that the squark sector is aligned with the mass-states in the quark sector, so that, at tree-level, only charged particles convey flavour-violating effects, which are always proportional to the CKM matrix
We have considered a set of flavour observables in the NMSSM, updating and extending our former analysis in [4]
Summary
SM, and on the magnitude of the effects induced beyond the SM (BSM). In this paper, we will consider the well-motivated supersymmetric (SUSY) extension of the SM known as the Nextto-Minimal Supersymmetric Standard Model (NMSSM) – see [3] for a review – in a minimal flavour-violating version: we will assume that the squark sector is aligned with the mass-states in the quark sector, so that, at tree-level, only charged particles convey flavour-violating effects, which are always proportional to the CKM matrix. In this approach, the couplings of the Goldstone bosons expressed in terms of the effective quark masses and CKM elements are formally identical to the tree-level vertices expressed in terms of the tree-level masses and CKM matrix, so that the Goldstone bosons do not convey explicit tan β-enhanced terms Another remark addresses the explicit calculation of the ε-parameters: we neglect the Yukawa couplings of the two first generations and assume degeneracy of the corresponding sfermions.
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