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北美退伍军人节(Veterans Day),12 日无更新
arXiv 2008.12494hep-ph
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$B_{d,s}\toγ\ell\bar{\ell}$随高能光子衰变

$B_{d,s}\toγ\ell\bar{\ell}$ decay with an energetic photon

Martin Beneke, Christoph Bobeth, Yu-Ming Wang

摘要:

计算了含高能光子的$B_{d,s}\toγ\ell\bar{\ell}$衰变的微分分支分数、轻子前后不对称性和直接CP不对称性。我们采用因式分解的方法,这导致严格的次领先的顺序预测在大能量/重夸克膨胀的领导功率的强耦合,连同估计的功率校正和共振参数化的次领导功率形状因子在该地区的轻子不变质量$q^2$。$B_{d,s}\toγ\ell\bar{\ell}$衰变具有充电电流衰变$B_u \to γ\ell\barν_\ell$的特征,FCNC衰变$B\to K^{(*)}\ell\bar\ell$。与前者一样,超前功率衰减率可用$B$介子光锥分布振幅和短距离因子表示。然而,类似于$B\to K^{(*)}\ell\bar\ell$,四夸克和偶极算符以一种基本的方式对$B_{d,s}\toγ\ell\bar{\ell}$衰变做出贡献,将计算限制在$q^2\lesssim 6\,$ GeV $^2$以下的轻子不变质谱中的粲偶素共振。详细分析了主要观测量和理论不确定性。

英文摘要:

We calculate the differential branching fraction, lepton forward-backward asymmetry and direct CP asymmetry for $B_{d,s}\toγ\ell\bar{\ell}$ decays with an energetic photon. We employ factorization methods, which result in rigorous next-to-leading order predictions in the strong coupling at leading power in the large-energy/heavy-quark expansion, together with estimates of power corrections and a resonance parameterization of sub-leading power form factors in the region of small lepton invariant mass $q^2$. The $B_{d,s}\toγ\ell\bar{\ell}$ decay shares features of the charged-current decay $B_u \to γ\ell\barν_\ell$, and the FCNC decays $B\to K^{(*)}\ell\bar\ell$. As in the former, the leading-power decay rates can be expressed in terms of the $B$-meson light-cone distribution amplitude and short-distance factors. However, similar to $B\to K^{(*)}\ell\bar\ell$, four-quark and dipole operators contribute to the $B_{d,s}\toγ\ell\bar{\ell}$ decay in an essential way, limiting the calculation to $q^2\lesssim 6\,$GeV$^2$ below the charmonium resonances in the lepton invariant mass spectrum. A detailed analysis of the main observables and theoretical uncertainties is presented.

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