Recently, the CMS and ATLAS collaborations have announced the results for
HβZ[ββ+ββ]Ξ³ with β=e or ΞΌ,
where HβZΞ³ is a sub-process of Hββ+ββΞ³. This semi-leptonic Higgs decay receives loop induced resonant
HβZ[ββ+ββ]Ξ³ as well as non-resonant
contributions as discussed in. To probe further features coming from these
contributions to Hββ+ββΞ³, we suggest that the
polarization of the final state lepton is an important parameter. We show that
the resonant and non-resonant cross-terms play an important role when the
polarization of final state lepton is taken into account, which is negligible
in the case of un-polarized leptons. For this purpose, we have calculated the
polarized decay rates and the longitudinal, normal and transverse polarization
asymmetries. We find that these asymmetries purely come from the loop
contributions and are helpful to further investigate the resonant and
non-resonant nature of HβZ[ββ+ββ]Ξ³
decay. We observe that for β=e,ΞΌ, the longitudinal decay rate is highly
suppressed around mββββ60GeV when the final lepton spin is
β21β, dramatically increasing the corresponding lepton polarization
asymmetries. Furthermore, we analyze another clean observable, the ratio of
decay rates Ξ, Rβββ²β‘ΞHβββ²+ββ²βΞ³βΞHββ+ββΞ³ββ, where
β and ββ² refer to different final state lepton generations.
Therefore, the precise measurements of these observables at CMS and ATLAS can
provide a fertile ground to test not only the Standard Model (SM) but also to
examine the signatures of possible new physics (NP) beyond the SM.Comment: 28 pages, 7 figure