论文标题

$ b $ - 哈德隆衰减中观众效果的格子研究

Lattice Study of Spectator Effects in $b$-hadron Decays

论文作者

Lin, Joshua, Detmold, William, Meinel, Stefan

论文摘要

大夸克(HQE)(HQE)将$ b $ hadrons的纳入衰减率作为$α_s$和$ 1/m_b $的同时系列,就扰动定义的系数和非扰动矩阵元素而言。观众效应是由尺寸-6 $的$ 6 $运​​算符引起的,其中与沉重的夸克一起,来自强子的轻镜夸克参加了弱衰变。在这项工作中,我们提供了对$ b^+$ - 梅森的观众效果的裸机元素的晶格确定,$ b_d $ -Meson和$λ_b$ -Baryon。这些计算是在RBC-UKQCD(2+1)的两个单独的晶格间距上进行的 - 含有域壁式壁费式集合。尚未计算出矩阵元素的重归其化和连续性外推,并且要进行将来的工作。

The Heavy Quark Expansion (HQE) gives an expansion of inclusive decay rates of $b$-hadrons as a simultaneous series in $α_s$ and $1/m_b$, in terms of perturbatively defined coefficients and non-perturbative matrix elements. Spectator effects arise from the dimension-$6$ operators in the HQE in which along with the heavy quark, a light spectator quark from the hadron participates in the weak decay. In this work, we provide a lattice determination of the bare matrix elements that contribute to the spectator effects for the $B^+$-meson, $B_d$-meson and the $Λ_b$-baryon. The computations were performed on two separate lattice spacings of the RBC-UKQCD (2+1)-flavor Domain Wall Fermion ensembles. Renormalization and continuum extrapolation of the matrix elements have not yet been computed, and are left to future work.

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