论文标题
独家$ b $ -Meson和Higgs衰减的两环辐射喷气功能
Two-Loop Radiative Jet Function for Exclusive $B$-Meson and Higgs Decays
论文作者
论文摘要
The rare radiative $B$-meson decay $B^-\toγ\ell^-\barν$ and the radiative Higgs-boson decay $h\toγγ$ mediated by light-quark loops both receive large logarithmic corrections in QCD, which can be resummed using factorization theorems derived in soft-collinear effective theory.在这些分解定理中，出现了相同的辐射射流功能，这是超出规模比率领先顺序的研究中的一个中心对象。我们在动量空间和双重空间中以两回路顺序计算此函数，在该空间中，其重归于组的演化采用了更简单的形式。我们还得出了射流函数的两环异常尺寸，并以两环阶的进化方程提供了精确的解决方案。我们分析的另一个重要结果是$ b $ -Meson轻锥分布幅度在动量空间中的两环反常维度的明确形式。
The rare radiative $B$-meson decay $B^-\toγ\ell^-\barν$ and the radiative Higgs-boson decay $h\toγγ$ mediated by light-quark loops both receive large logarithmic corrections in QCD, which can be resummed using factorization theorems derived in soft-collinear effective theory. In these factorization theorems the same radiative jet function appears, which is a central object in the study of factorization beyond the leading order in scale ratios. We calculate this function at two-loop order both in momentum space and in a dual space, where its renormalization-group evolution takes on a simpler form. We also derive the two-loop anomalous dimension of the jet function and present the exact solution to its evolution equation at two-loop order. Another important outcome of our analysis is the explicit form of the two-loop anomalous dimension of the $B$-meson light-cone distribution amplitude in momentum space.
