Learning about flavour structure from tau to ell gamma and mu to e gamma?

Details Learning about flavour structure from tau to ell gamma and mu to e gamma? Learning about flavour structure from tau to ell gamma and mu to e gamma?

2011-12-13

arxiv.org/abs/1112.2956v3

Physics

High Energy Physics

High Energy Physics - Phenomenology

15 pages, 5 figures, version accepted for publication

Scientific paper

Current and upcoming experiments should improve the sensitivity to radiative lepton decays by an order of magnitude. This paper assumes that one of the tau --> (e, mu) gamma decays is observed, and explores the structure and consequences of the required new flavoured couplings. In simple models (a low-scale seesaw, leptoquarks) it is shown that the dipole vertex function is proportional to a product of flavoured matrices from the Lagrangian (a "Jarlskog-like" invariant), provided that the loop particles are weakly coupled to the Higgs. Secondly, if the dipole vertex function has a hierarchical structure, this can imply that only some of the tau --> (e, mu) gamma modes can be observed, due to the "approximate zero" implied by the bound on mu --> e gamma. The assumptions underlying this potential test of a hierarchical structure are discussed.

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