$B\to K_1\gamma$ Decays in the Light-Cone QCD Sum Rules

Abstract

We present a detailed study of $B\to K_1(1270)\gamma$ and $B\to K_1(1400)\gamma$ decays. Using the light-cone sum rule technique, we calculate the $B\to K_{1A}(1^3{P}_1)$ and $B\to K_{1B}(1^1{P}_1)$ tensor form factors, $T_1^{K_{1A}}(0)$ and $T_1^{K_{1B}}(0)$, where the contributions are included up to the first order in $m_{K_1}/m_b$. We resolve the sign ambiguity of the $K_1(1270)$--$K_1(1400)$ mixing angle ${\theta }_{K_1}$ by defining the signs of decay constants, $f_{K_{1A}}$ and $f_{K_{1B}}^{\perp }$. From the comparison of the theoretical calculation and the data for decays $B\to K_1\gamma$ and ${\tau }^{-}\to K_1^{-}(1270){\nu }_{\tau }$, we find that ${\theta }_{K_1}=-(34\pm 13{)}^{\circ }$ is favored. In contrast to $B\to K^{\ast }\gamma$, the hard-spectator contribution suppresses the $B\to K_1(1270)\gamma$ and $B\to K_1(1400)\gamma$ branching ratios slightly. The predicted branching ratios are in agreement with the Belle measurement within the errors. We point out that a more precise measurement for the ratio $R_{K_1}=\mathcal{B}(B\to K_1(1400)\gamma )/\mathcal{B}(B\to K_1(1270)\gamma )$ can offer a better determination for the ${\theta }_{K_1}$ and consequently the theoretical uncertainties can be reduced.

19 pages, 3 figures, 2 tables, Eqs. (3.7), (5.14), Fig. 2, Table II corrected

References in corpus (10)

• B->V gamma Beyond QCD Factorisation
• Light-Cone Distribution Amplitudes of Axial-vector Mesons
• Hadronic charmless B decays B-> AP
• An estimate of the B-->K*gamma form factor
• Nonleptonic two-body B-decays including axial-vector mesons in the final state
• Observation of B-meson decays to b_1 pi and b_1 K
• Observation of B^+ Meson Decays to a1(1260)^+ K^0 and B^0 to a1(1260)^- K^+
• Branching Ratios and CP Asymmetries of B \to a_1(1260) πand a_1(1260) K Decays
• Evidence for charged B meson decays to a1(1260)+/- pi0 and a1(1260)0 pi+/-
• Radiative $B\to K_1$ decays in the light-cone sum rules

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