Abstract We determine the four-fermion effective theory of neutrino interactions within the Standard Model including one-loop electroweak radiative corrections, in combination with the measured muon lifetime and precision electroweak data. Including two-loop matching and three-loop running corrections, we determine lepton coefficients accounting for all large logarithms through relative order O ( α α s ) and quark coefficients accounting for all large logarithms through O ( α ) . We present four-fermion coefficients valid in n f = 3 and n f = 4 flavor quark theories, as well as in the extreme low-energy limit. We relate the coefficients in this limit to neutrino charge radii governing matter effects via forward neutrino scattering on charged particles.

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关于中微子-电子和中微子-夸克相互作用的有效理论

摘要 我们确定了标准模型中中微子相互作用的四费米子有效理论，包括单环电弱辐射校正，结合测量的 μ 子寿命和精确的电弱数据。包括两环匹配和三环运行修正，我们通过相对阶数 O ( α α s ) 确定占所有大对数的轻子系数和通过 O ( α ) 占所有大对数的夸克系数。我们提出了在 nf = 3 和 nf = 4 味夸克理论以及极低能量极限中有效的四费米子系数。我们将此限制中的系数与通过带电粒子上的前向中微子散射控制物质效应的中微子电荷半径相关联。