Novel method to reliably determine the photon helicity in $b\to s\gamma$

Abstract

A sizable right-handed photon polarization in $b\to s\gamma$ is a clear signal for new physics. In this work we point out that the photon helicity in $b\to s\gamma$ can be unambiguously extracted by combining the measurements in $B\to K_1\gamma$ and the Cabibbo-favored $D\to K_1{e}^{+}\nu$ decay. We propose a ratio of up-down asymmetries in $D\to K_1{e}^{+}\nu$ to quantify the hadronic effects. { A method for measuring in experiment the involved partial decay widths in the ratio is discussed, and experimental facilities like BESIII, Belle-II and LHCb are likely to measure this ratio. We also give the angular distribution that is useful to extract the photon polarization in the presence of different kaon resonances. }

arXiv comment5 pages, 1 figure; v2: title changed, a method for experimental measurements of the involved partial decay widths is given, accepted for publication in Physical Review Letters

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Cited by in corpus (10)

• STCF Conceptual Design Report: Volume 1 -- Physics & Detector
• Heavy Flavour Physics and CP Violation at LHCb: a Ten-Year Review
• Observation of $D^0\to K_1(1270{)}^{-}{e}^{+}{\nu }_e$
• Branching fractions and polarizations of $D\to V(\omega ,\rho ,K^{\ast })\ell {\nu }_{\ell }$ within QCD LCSR
• Charm Physics at the Super $\tau$-Charm Factory
• Up-down Asymmetries and Angular Distributions in $D\to K_1(\to K\pi \pi ){\ell }^{+}{\nu }_{\ell }$
• Observation of the semileptonic decays $D^0\to K_S^0{\pi }^{-}{\pi }^0{e}^{+}{\nu }_e$ and $D^{+}\to K_S^0{\pi }^{+}{\pi }^{-}{e}^{+}{\nu }_e$
• First Measurement of the Decay Dynamics in the Semileptonic Transition of the $D^{+(0)}$ into the Axial-vector Meson ${\bar{K}}_1(1270)$
• Five-body $D\to V$ Semileptonic Decays
• The hadronic $\tau$ decay ${\tau }^{-}\to K_1^{-}{\nu }_{\tau }\to (K^{-}\omega ){\nu }_{\tau }\to (K^{-}{\pi }^{+}{\pi }^{-}{\pi }^0){\nu }_{\tau }$ and the axial vector mixing angle