Discrete Minimal Flavour Violation

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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Presented at Flavianet workshop on "Low energy constraints on extensions of the Standard Model" from 23-27 July 2009 in Kazimi

Scientific paper

We investigate the consequences of replacing the continuous flavour symmetry of minimal flavour violation by a discrete group. Goldstone bosons, resulting from the breaking of the continuous flavour symmetry, generically lead to bounds on new flavour structure by many orders of magnitude above the TeV-scale. The absence of Goldstone bosons for discrete symmetries constitutes the primary motivation of our work. The four crystal-like groups Sigma(168), Sigma(72phi), Sigma(216phi) and Sigma(360phi)$ provide enough protection for a discrete TeV-scale MFV scenario in the case where Delta F = 2 processes are generated by two subsequent Delta F = 1 transitions.

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