Angular analyses of exclusive $\Bbar\to X \ell_1 \ell_2$ with complex helicity amplitudes

Abstract

We present the differential rates for exclusive $\Bbar\to X \ell_1 \ell_2$, where ${\ell }_1$ is a charged massless lepton and ${\ell }_2$ is a charged or neutral massless lepton, and $X$ is a mesonic system up to spin 2. The cases of interest are semileptonic (SL) $\Bbar\to \xcu\ellm \barnuell$ decays, and $\Bbar \to X_s \ellm \ellp$ where the the di-lepton can be $c\bar{c}$ 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 $\babar$ and LHCb.

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• New physics reach of the decay mode $\bar{B}\to {\bar{K}}^{\ast 0}{\ell }^{+}{\ell }^{-}$
• Charged Higgs on $B^{-}\to \tau {\bar{\nu }}_{\tau }$ and $\bar{B}\to P(V)\ell {\bar{\nu }}_{\ell }$
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Cited by in corpus (8)

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• Extraction of form Factors from a Four-Dimensional Angular Analysis of $\overline{B}\to D^{\ast }{\ell }^{-}{\overline{\nu }}_{\ell }$
• Model-independent observation of exotic contributions to $B^0\to J/\psi K^{+}{\pi }^{-}$ decays
• CP Violation in ${\bar{B}}^0\to D^{\ast +}{\mu }^{-}{\bar{\nu }}_{\mu }$
• Chiral Dynamics and S-wave contributions in Semileptonic $D_s/B_s$ decays into ${\pi }^{+}{\pi }^{-}$
• Tests of the Standard Model in $B\to D\ell {\nu }_{\ell }$, $B\to D^{\ast }\ell {\nu }_{\ell }$ and $B_c\to J/\psi \ell {\nu }_{\ell }$
• Implications of the $R_K$ and $R_{K^{\ast }}$ anomalies
• Angular analyses of exclusive $\overline{B}\to X_J{\ell }_1{\ell }_2$ decays for spin $J\le 4$