Angular analyses of exclusive → X ℓ₁ ℓ₂ with complex helicity amplitudes
Dey, Biplab
Original · EN
We present the differential rates for exclusive → X ℓ₁ ℓ₂, where ℓ₁ is a charged massless lepton and ℓ₂ is a charged or neutral massless lepton, and X is a mesonic system up to spin 2. The cases of interest are semileptonic (SL) → decays, and → Xₛ where the the di-lepton can be c c resonances or non-resonant electroweak penguins (EWP). We consider helicity amplitudes having non-zero relative phases that can be potential new sources for CP-violation. Our motivations for these additional phases include a complex right-handed admixture in the hadronic weak charged current for the SL decays and complex Wilson coefficients in the effective Hamiltonians for the EWP decays. We demonstrate the efficacy of a novel technique of projecting out the individual angular moments in the full rate expression in a model-independent fashion. Our work is geared towards ongoing data analyses at and LHCb.
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