Supersymmetry andCPviolation in|ΔS|=1τdecays

Abstract

We compute the SUSY effective hamiltonian that describes the |∆S| = 1 semileptonic decays of tau leptons. We provide analytical expressions for supersymmetric contribution to τ → usν τ transition in mass insertion approximation. We show that SUSY contributions may enhance the CP asymmetry of τ → Kπν τ decays by several orders of magnitude than the standard model expectations. However, the resulting asymmetry is still well below the current experimental limits obtained by CLEO collaborations. We emphasize that measuring CP rate asymmetry in this decay larger than 10 −6 would be a clear evidence of physics beyond the supersymmetric extensions of the standard model.

Effective-field theory analysis of the τ−→(Kπ)−ντ decays

“…24 A similar upper limit was set in Ref. [90] in the context of SUSY contributions to this observable. The recent paper [91] finds that a charged Higgs contribution can enhance CP violation in the K ± π 0 tau decays modes up to A CP 2 × 10 −6 , which is much larger than the corresponding (negligible) SM contribution [38].…”

CP Violation in τ Decays at SuperB & Belle II Experiments – like Finding Signs of Dark Matter

“…Three-, four-and five-body FS have two, three and four hadrons π, K and/or η. One can probe the complex FS with independent of τ production asymmetry [10,11,12,13].…”

CP violation in Semi-Leptonic τ decays

“…The CP asymmetry in the decay mode τ ± → K ± π 0 ν τ , in minimal supersymmetric extension of the SM with R parity conservation, has been computed in Ref. [2]. It was shown that the SUSY contributions can enhance the CP asymmetry rate in τ -decay by many order of magnitude.…”

“…The effective Hamiltonian H ef f derived from SUSY superpotential with R parity symmetry conserved can be expressed as [2]…”