Staggered Chiral Perturbation Theory with Heavy-Light Mesons

Staggered Chiral Perturbation Theory with Heavy-Light Mesons
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DOI:
10.1016/j.nuclphysbps.2004.11.167
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发表时间:
2004-09
期刊:
--
影响因子:
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通讯作者:
C. Aubin;C. Bernard
C. Aubin;C. Bernard
中科院分区:
其他
文献类型:
--
作者:
C. Aubin;C. Bernard

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我们将重轻介子纳入交错手性微扰理论()中,致力于重夸克质量所在的主导秩序。首先,在手性展开中,交错的味觉违规仅通过循环中的轻介子传播器影响重轻量的手性对数。拉格朗日中涉及重-轻和轻介子的附加项也做出了新的分析贡献。使用这种重光,我们在部分淬灭和完全 QCD 情况下执行介子轻子衰变常数的单循环计算。在我们的处理中,我们假设将四种交错味道减少到一种的“第四根技巧”的有效性,以及通过插入每个海夸克环的因子来表示该技巧的处方的有效性。
We incorporate heavy-light mesons into staggered chiral perturbation theory (), working to leading order in, whereis the heavy-quark mass. At first nontrivial order in the chiral expansion, staggered taste violations affect the chiral logarithms for heavy-light quantities only through the light-meson propagators in loops. There are also new analytic contributions coming from additional terms in the Lagrangian involving heavy-light and light mesons. Using this heavy-light, we perform the one-loop calculation of the(or) meson leptonic decay constant in the partially quenched and full QCD cases. In our treatment, we assume the validity both of the “fourth root trick” to reduce four staggered tastes to one, and of theprescription to represent this trick by insertions of factors offor each sea-quark loop.