论文标题
领先的$ b $ -Meson轻锥分布振幅的系统参数化
Systematic Parametrization of the Leading $B$-meson Light-Cone Distribution Amplitude
论文作者
论文摘要
我们提出了重型Quark有效理论（HQET）中领先的$ B $ -Meson Light-Cone分布幅度（LCDA）的参数化。在位置空间中，它使用了共形变换，该转换产生系统的泰勒扩展和积分结合，从而可以控制截断误差。我们的参数化进一步产生了各种派生量的紧凑分析表达式。在给定的参考量表上，我们的动量空间参数化对应于关联的laguerre多项式中的扩展，后者将其变成一环准确度的恢复量级化 - 组进化下的汇合超几何函数$ {} _ 1f_1 $。因此，我们的方法可以直接实施各种现象学约束，无论其起源如何。此外，我们可以使用本地操作员的生产扩展来包括有关泰勒系数的理论信息。我们在一系列现象学伪拟合中展示了参数化的多功能性。
We propose a parametrization of the leading $B$-meson light-cone distribution amplitude (LCDA) in heavy-quark effective theory (HQET). In position space, it uses a conformal transformation that yields a systematic Taylor expansion and an integral bound, which enables control of the truncation error. Our parametrization further produces compact analytical expressions for a variety of derived quantities. At a given reference scale, our momentum-space parametrization corresponds to an expansion in associated Laguerre polynomials, which turn into confluent hypergeometric functions ${}_1F_1$ under renormalization-group evolution at one-loop accuracy. Our approach thus allows a straightforward and transparent implementation of a variety of phenomenological constraints, regardless of their origin. Moreover, we can include theoretical information on the Taylor coefficients by using the local operator production expansion. We showcase the versatility of the parametrization in a series of phenomenological pseudo-fits.
