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arXiv 1303.0435hep-lathep-ph
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交错手征微扰理论中的中性B混合

Neutral B Mixing in Staggered Chiral Perturbation Theory

C. Bernard

摘要:

我计算,在交错手征微扰理论的一个循环,矩阵元素的完整的一套五个本地运营商,可能有助于B混合在标准模型和超越标准模型理论。费米实验室晶格/MILC合作(以及更早的HPQCD合作)对这些矩阵元素的晶格计算将轻交错夸克转换为朴素夸克,并将相关的4-夸克算符构造为两个局部双线性的局部乘积,每个双线性都涉及朴素轻夸克和重夸克。算符的这种特殊表示在手征计算中很重要,它导致了“错误自旋”算符的存在,然而这些算符的贡献在连续极限中消失了。如果所有五个算符的矩阵元素都在晶格上计算,那么就不需要额外的低能常数来描述错误自旋手征效应。

英文摘要:

I calculate, at one loop in staggered chiral perturbation theory, the matrix elements of the complete set of five local operators that may contribute to B mixing both in the Standard Model and in beyond-the-Standard-Model theories. Lattice computations of these matrix elements by the Fermilab Lattice/MILC collaborations (and earlier by the HPQCD collaboration) convert a light staggered quark into a naive quark, and construct the relevant 4-quark operators as local products of two local bilinears, each involving the naive light quark and the heavy quark. This particular representation of the operators turns out to be important in the chiral calculation, and it results in the presence of "wrong-spin" operators, whose contributions however vanish in the continuum limit. If the matrix elements of all five operators are computed on the lattice, then no additional low energy constants are required to describe wrong-spin chiral effects.

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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