论文标题
标准型号$ \ Mathcal {O}（α）$ $ g_a $的重新归一化及其对新物理搜索的影响
Standard Model $\mathcal{O}(α)$ renormalization of $g_A$ and its impact on new physics searches
论文作者
论文摘要
我们提出了$ \ Mathcal {O}（α）$对Gamow Teller $β$衰减的内部辐射校正的标准模型计算。我们发现\ textit {先验}贡献是由光子顶点校正和$γw$ box图产生的。经过评估，由于等值器和等分量光子光子贡献之间的交叉对称性或取消，大多数弹性贡献消失了，仅留下了极化的平等-ODD贡献，即，在Fermi衰减中，Gamow-Teller等同于众所周知的轴向$γw$ box的贡献。我们表明，弱磁性对天生的振幅有显着贡献，并使用受实验数据约束的极化Bjorken Sum规则的全体形态延续来考虑在低能量下的额外耐药贡献。我们通过Bjorken和Gross-Llewellyn Smith Sum规则的运行结合进行了Fermi内部辐射校正的相同过程。我们讨论了浓烈的风味，更高的扭转和目标质量校正，并发现后者的低势头显着增加。我们发现$δ_r^a = 0.02532（22）$和$Δ_R^v = 0.02473（27）$分别用于轴向和矢量内部辐射校正，从而导致$Δ_R^a-Δ_r^v = 0.60（5）\ times 10^{-3} $ for我们允许$ $ $ g_^0 priend for我们允许我们提取$ g_a^0 prient for我们允许我们提取$ g_a^0。我们讨论了将实验数据与晶格计算进行比较的后果。此外，我们展示了某些传统的$β$衰减计算如何包含此效果的一部分，但无法解决整个$ \ MATHCAL {O}（O}（α）$结果中的取消。最后，我们在Isospin $ t = 1/2 $ sirror衰减中的$ | v_ {ud} | $中的双重计数实例纠正，这是Cabibbo-Kobayashi-Maskawa矩阵的上向上矩阵元素，解决了长期存在的紧张，并提高了精确的张力。
We present an $\mathcal{O}(α)$ Standard Model calculation of the inner radiative corrections to Gamow-Teller $β$ decays. We find that \textit{a priori} contributions arise from the photonic vertex correction and $γW$ box diagram. Upon evaluation most elastic contributions vanish due to crossing symmetry or cancellation between isoscalar and isovector photonic contributions, leaving only the polarized parity-odd contribution, i.e., the Gamow-Teller equivalent of the well-known axial $γW$ box contribution for Fermi decays. We show that weak magnetism contributes significantly to the Born amplitude, and consider additional hadronic contributions at low energy using a holomorphic continuation of the polarized Bjorken sum rule constrained by experimental data. We perform the same procedure for the Fermi inner radiative correction through a combination of the running of Bjorken and Gross-Llewellyn Smith sum rules. We discuss heavy flavor, higher-twist, and target mass corrections and find a significant increase at low momentum from the latter. We find $Δ_R^A = 0.02532(22)$ and $Δ_R^V = 0.02473(27)$ for axial and vector inner radiative corrections, respectively, resulting in $Δ_R^A-Δ_R^V=0.60(5) \times 10^{-3}$, which allows us to extract $g_A^0$ for the first time to our knowledge. We discuss consequences for comparing experimental data to lattice calculations in beyond Standard Model fits. Further, we show how some traditional $β$ decay calculations contain part of this effect but fail to account for cancellations in the full $\mathcal{O}(α)$result. Finally, we correct for a double-counting instance in the isospin $T=1/2$ mirror decay extraction of $|V_{ud}|$, the up-down matrix element of the Cabibbo-Kobayashi-Maskawa matrix, resolving a long-standing tension and leading to increased precision.
