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arXiv 1201.1302hep-phhep-lat
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树级Delta F = 2 FCNC过程的完全NLO QCD修正

Complete NLO QCD Corrections for Tree Level Delta F = 2 FCNC Processes

Andrzej J. Buras, Jennifer Girrbach

摘要:

考虑到树级FCNC过程在间接寻找距离尺度为10^-19-10^-21 m的新物理过程中的重要作用,我们提出了对树级Delta F=2过程的完全非线性光学QCD修正,这些过程由重无色规范玻色子和标量介导。当GIM机制不存在时,这种贡献可以存在于基本水平,如在许多Z'模型,具有新的重中性规范玻色子的规范味模型和具有重中性标量的左右对称模型中。它们也可以在具有基本水平的GIM和MFV的模型中的一个循环中产生,其中具有和不具有超对称性的双希格斯双重模型是最着名的例子。在包含矢量重费米子与标准手征夸克混合的模型中,以及Z和SM中性希格斯H与新的重规范玻色子和标量混合的模型中,Z和SM中性希格斯对Delta F=2过程的贡献也是可能的。在所有这些扩展中,新的本地运营商产生的威尔逊系数,一般更强的影响RG QCD效应比它是SM运营商的情况下。我们工作的新的方面是计算O(alpha_s)的修正匹配条件的贡献运营商的威尔逊系数的NDR-MS方案,可以用于上述所有模型。这允许减少现有NLO计算中的某些非物理尺度和重整化方案依赖性。我们清楚地表明了我们的结果如何与包含贡献算符的强子矩阵元和从高能到低能标度的RG演化的P_i^a QCD因子的解析公式相结合。对于质量为O(1)TeV的重规范玻色子和标量,混合振幅的剩余非物理标度依赖性通常从10- 25%(取决于所考虑的算子)降低到1- 2%。

英文摘要:

Anticipating the important role of tree level FCNC processes in the indirect search for new physics at distance scales as short as 10^-19-10^-21 m, we present complete NLO QCD corrections to tree level Delta F=2 processes mediated by heavy colourless gauge bosons and scalars. Such contributions can be present at the fundamental level when GIM mechanism is absent as in numerous Z' models, gauged flavour models with new heavy neutral gauge bosons and Left-Right symmetric models with heavy neutral scalars. They can also be generated at one loop in models having GIM at the fundamental level and MFV of which Two-Higgs Doublet models with and without SUSY are the best known examples. In models containing vectorial heavy fermions that mix with the standard chiral quarks and models in which Z and SM neutral Higgs H mix with new heavy gauge bosons and scalars also tree-level Z and SM neutral Higgs contributions to Delta F=2 processes are possible. In all these extensions new local operators are generated having Wilson coefficients that are generally much stronger affected by RG QCD effects than it is the case of the SM operators. The new aspect of our work is the calculation of O(alpha_s) corrections to matching conditions for the Wilson coefficients of the contributing operators in the NDR-MS scheme that can be used in all models listed above. This allows to reduce certain unphysical scale and renormalization scheme dependences in the existing NLO calculations. We show explicitly how our results can be combined with the analytic formulae for the P_i^a QCD factors that include both hadronic matrix elements of contributing operators and RG evolution from high energy to low energy scales. For the masses of heavy gauge bosons and scalars O(1)TeV the remaining unphysical scale dependences for the mixing amplitudes are reduced typically from 10-25%, depending on the operator considered, down to 1-2%.

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