Matching factors for Δ S = 1 four-quark operators in RI/SMOM schemes

Matching factors for Δ S = 1 four-quark operators in RI/SMOM schemes
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RI/SMOM 方案中 Δ S = 1 四夸克算子的匹配因子

DOI:
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发表时间:
2011
期刊:
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通讯作者:
C. Sturm
C. Sturm
中科院分区:
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文献类型:
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作者:
C. Lehner;C. Sturm

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四夸克算子的非微扰重整化在风味物理的晶格研究中起着重要的作用。为此,我们定义了Delta S=1变味四夸克算子的正则化无关对称动量减法(RI/SMOM)格式,并在朴素维正则化中为MS-bar格式提供了单环匹配因子。根据两种不同的格式讨论了双夸克算子的混合。我们提供了一个有限单环振幅的紧凑表达式,它允许对进一步的RI/SMOM方案进行直接定义。
The non-perturbative renormalization of four-quark operators plays a significant role in lattice studies of flavor physics. For this purpose, we define regularization-independent symmetric momentum-subtraction (RI/SMOM) schemes for Delta S=1 flavor-changing four-quark operators and provide one-loop matching factors to the MS-bar scheme in naive dimensional regularization. The mixing of two-quark operators is discussed in terms of two different classes of schemes. We provide a compact expression for the finite one-loop amplitudes which allows for a straightforward definition of further RI/SMOM schemes.