Abstract
We present an extensive study of non-minimal flavour violation in the squark sector in the framework of the Minimal Supersymmetric Standard Model. We investigate the effects of multiple non-vanishing flavour-violating elements in the squark mass matrices by means of a Markov Chain Monte Carlo scanning technique and identify parameter combinations that are favoured by both current data and theoretical constraints. We then detail the resulting distributions of the flavour-conserving and flavour-violating model parameters. Based on this analysis, we propose a set of benchmark scenarios relevant for future studies of non-minimal flavour violation in the Minimal Supersymmetric Standard Model.
Highlights
In recent years, the consequences of non-minimal flavour violation in the squark sector have been investigated in various areas
We model the flavourviolating effects under investigation by a set of 19 free parameters defined at the TeV scale and identify, by means of a Markov Chain Monte Carlo parameter scanning technique, the regions of the parameter space that are favoured in light of current data
We have studied non-minimal flavour-violation in the MSSM by allowing for flavour mixing between the second and third generation squarks
Summary
Starting from the most general MSSM Lagrangian, the super-CKM basis is defined by rotating the quark and squark superfields in flavour space in a way in which the quark mass matrices mu and md are diagonal. We have introduced the soft supersymmetry-breaking squark mass matrices MQ2 ̃, MU2 ̃ and MD2 ̃ for left-handed, up-type right-handed and downtype right-handed squarks respectively, as well as the matrices Tu and Td that embed the trilinear soft interactions of the up-type and down-type squarks with the Higgs sector While these five matrices are defined to be flavour diagonal in usual constrained versions of the MSSM, our NMFV framework allows them to be general and possibly flavour-violating. (T )33 = Yτ Aτ ≡ Yτ Af. All flavour-conserving trilinear sfermion interactions with the Higgs bosons are driven by a single input parameter Af. The model description is completed by the definition of the Higgs sector that is parameterised in terms of the μ parameter, tan β and the pole mass of the pseudoscalar Higgs boson mA
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