Longitudinal Polarization in $K_L \to μ^+ μ^-$ in MSSM with large $tanβ$

Details Longitudinal Polarization in $K_L \to μ^+ μ^-$ in MSSM with large $tanβ$ Longitudinal Polarization in $K_L \to μ^+ μ^-$ in MSSM with large $tanβ$

1999-09-06

arxiv.org/abs/hep-ph/9909258v2

Phys.Lett. B482 (2000) 383-387

Physics

High Energy Physics

High Energy Physics - Phenomenology

version appeared in Physics Letters B, minor corrections

Scientific paper

10.1016/S0370-2693(00)00523-2

A complete experiment on decay $K_L \to l^+ l^-$ will not only consist of measurement of the decay rates but also lepton polarization etc. These additional observations will yield tests of CP invariance in these decays. In $K_L$ and $K_S$ decays, the e mode is slower than the $\mu$ mode by roughly $(m_e/m_\mu)^2$ \cite{sehgal1}. As well discussed in literature \cite{herczeg} the Standard Model contribution to the lepton polarization is of order $2 \times \sim 10^{-3}$. We show that in MSSM with large \tanbeta and light higgs masses ($\sim 2 M_W$), the longitudinal lepton polarization in $K_L \to \mu^+ \mu^-$ can be enhanced to a higher value, of about $10^{-2}$.

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