Longitudinal polarization in KL→ μ+μ− in MSSM with large tan β

Abstract

A complete experiment on decay K L → 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 μ mode by roughly ( m e / m μ ) 2 [4]. As well discussed in literature [5]the Standard Model contribution to the lepton polarization is of order 2×∼10 −3. We show that in MSSM with large tan β and light higgs masses (∼2 M W ), the longitudinal lepton polarization in K L → μ + μ − can be enhanced to a higher value, of about 10 −2.