Muon Decay Asymmetries from $K_L^0\to {\pi }^0{\mu }^{+}{\mu }^{-}$ Decays

Abstract

We have examined the decay $K_L^0\to {\pi }^0{\mu }^{+}{\mu }^{-}$ in which the branching ratio, the muon energy asymmetry and the muon decay asymmetry could be measured. In particular, we find that within the Standard Model the longitudinal polarization ($P_L$) of the muon is proportional to the direct CP violating amplitude. On the other hand the energy asymmetry and the out-of-plane polarization ($P_N$) depend on both indirect and direct CP violating amplitudes. Although the branching ratio is small and difficult to measure because of background, the asymmetries could be large $\mathcal{O}$(1) in the Standard Model. A combined analysis of the energy asymmetry, $P_L$ and $P_N$ could be used to separate indirect CPV, direct CPV, and CP conserving contributions to the decay.

arXiv comment6 pages, 4 figures, To be Published in Physical Review D

References in corpus (11)

• Search for the Decay $K_L\to {\pi }^0{\mu }^{+}{\mu }^{-}$
• The Decays $K\to \pi {\ell }^{+}{\ell }^{-}$ beyond Leading Order in the Chiral Expansion
• A new measurement of the properties of the rare decay K -> pi+ e+ e-
• Reanalysis of the decay K_L -> pi0 e+ e-
• Measurement of the Decay KL -> Pi0 Gamma Gamma
• A New Measurement of the Rare Decay $K^{+}\to {\pi }^{+}{\mu }^{+}{\mu }^{-}$
• Observation of the Decay K+ --> pi+ mu+ mu-
• Search for the Decay Kl -> pi0 e+ e-
• Parity Violating Longitudinal Muon Polarization in $K^{+}\to {\pi }^{+}{\mu }^{+}{\mu }^{-}$ Beyond Leading Logarithms
• K_L -> pi0 gamma gamma and the bound on the CP-conserving K_L -> pi0 e+e-
• Tests of the Standard Model Using Muon Polarization Asymmetries in Kaon Decays

Cited by in corpus (6)

• KL to pi0 e+ e- and KL to pi0 mu+ mu- : A binary star on the stage of flavor physics
• Anatomy of kaon decays and prospects for lepton flavour universality violation
• Beyond the Standard Model prospects for kaon physics at future experiments
• Standard Model CP violation in Polarised b->d l^+ l^-
• Recent developments in rare kaon decays
• On the electron-positron energy asymmetry in K_L --> pi0 e+ e-