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arXiv 0704.0795hep-lat
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交错手征微扰理论中的重轻半轻子衰变

Heavy-Light Semileptonic Decays in Staggered Chiral Perturbation Theory

C. Aubin, C. Bernard

摘要:

在部分猝灭交错手征微扰理论(\schpt)中计算了重-轻赝标介子半轻子衰变的形状因子,在$1/m_Q$中工作到首阶,其中$m_Q$是重夸克质量.我们把末态的轻介子看作是一个赝标,对应于交错夸克的精确手征对称性。该处理假定了在\schpt中通过为每个海夸克环插入1/4的因子来表示交错的“第四根技巧”的标准处方的有效性。我们的计算是基于现有的部分猝灭连续手征微扰理论计算与简并海夸克Becirevic,Prelovsek和Zupan,我们推广到交错(和非简并)的情况下。作为一个副产品,我们得到了连续部分淬火的结果与非简并海夸克。我们分析了非主导手征项的影响,并发现在这个顺序的解析价质量依赖系数之间的关系。我们的结果对于分析用交错作用量模拟轻夸克时形状因子$B\toπ$和$D\to K$的格点计算是有用的。

英文摘要:

We calculate the form factors for the semileptonic decays of heavy-light pseudoscalar mesons in partially quenched staggered chiral perturbation theory (\schpt), working to leading order in $1/m_Q$, where $m_Q$ is the heavy quark mass. We take the light meson in the final state to be a pseudoscalar corresponding to the exact chiral symmetry of staggered quarks. The treatment assumes the validity of the standard prescription for representing the staggered ``fourth root trick'' within \schpt by insertions of factors of 1/4 for each sea quark loop. Our calculation is based on an existing partially quenched continuum chiral perturbation theory calculation with degenerate sea quarks by Becirevic, Prelovsek and Zupan, which we generalize to the staggered (and non-degenerate) case. As a by-product, we obtain the continuum partially quenched results with non-degenerate sea quarks. We analyze the effects of non-leading chiral terms, and find a relation among the coefficients governing the analytic valence mass dependence at this order. Our results are useful in analyzing lattice computations of form factors $B\toπ$ and $D\to K$ when the light quarks are simulated with the staggered action.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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