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arXiv 2409.02622hep-phhep-ex
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维度-7 SMEFT算符的重整化群方程

Renormalization Group Equations for the Dimension-7 SMEFT Operators

Di Zhang

AI总结:

本文为SMEFT中维度-7算符提出格林基和物理基并给出约化关系,进而计算了维度-5与维度-7算符在Λ^{-3}阶以内的完整单圈重整化群方程,可应用于轻子数或重子数破坏过程的研究。

摘要:

在本次报告中,我们提出了标准模型有效场论(SMEFT)中维度-7(dim-7)算符的一个格林基和一个新的物理基。我们还给出了这两个基之间的约化关系,其中如果维度-5算符存在,则会涉及格林基中一些冗余的维度-6算符。利用维度-7算符的这两个基以及相应的约化关系,我们求出了SMEFT中维度-5和维度-7算符在$\mathcal{O} \left( Λ^{-3} \right)$阶以内的完整单圈重整化群方程(RGEs),不仅包括同维度算符之间的混合,也包括不同维度算符之间的混合。这些结果可用于研究SMEFT中某些轻子数或重子数破坏过程在$\mathcal{O} \left( Λ^{-3} \right)$阶以内的完整单圈重整化群效应,例如中微子质量、无中微子双贝塔衰变、介子和核子衰变。

英文摘要:

In this talk, a Green's basis and a new physical basis for dimension-seven (dim-7) operators in the Standard Model effective field theory (SMEFT) are proposed. The reduction relations between those two bases are also presented, where some redundant dim-6 operators in the Green's basis are involved if the dim-5 operator exists. Taking advantage of these two bases for dim-7 operators and the associated reduction relations, we work out the complete one-loop renormalization group equations (RGEs) for dim-5 and dim-7 operators up to $\mathcal{O} \left( Λ^{-3} \right)$ in the SMEFT, including not only the mixing among the same dimensional operators but also that among different dimensional ones. These results can be exploited to study full one-loop RG effects on some lepton- or baryon-number-violating processes up to $\mathcal{O} \left( Λ^{-3} \right)$ in the SMEFT, such as neutrino masses, neutrinoless double beta decay, meson and nucleon decays.

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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