论文标题
electroweak轴向结构功能和改进的$ v_ {ud} $ ckm矩阵元素的提取
Electroweak axial structure functions and improved extraction of the $V_{ud}$ CKM matrix element
论文作者
论文摘要
我们对中子$β$ -Decay矩阵元素的$γW$干扰辐射校正进行了全面分析。在分散关系方法中，我们计算$γw$ box振幅$ \ box^{γw} _ {a} $的轴向矢量部分，以$ f_3^{γw} $ Interference结构函数的等效部分。使用$ f_3^{γw} $的最新可用现象学从核子弹性，共振，深度弹性和雷格区域中使用，我们发现盒子校正的实际部分为$ \ box^{γw} _a = 3.90（9）\ times 10^{-3} $。这种改进的校正给出了CKM矩阵元素$ | v_ {ud} |^2 = 0.94805（26）$的理论估计，该估计代表4 $σ$违反单位性。
We present a comprehensive analysis of the $γW$ interference radiative correction to the neutron $β$-decay matrix element. Within a dispersion relations approach, we compute the axial-vector part of the $γW$ box amplitude $\Box^{γW}_{A}$ in terms of the isoscalar part of the $F_3^{γW}$ interference structure function. Using the latest available phenomenology for $F_3^{γW}$ from the nucleon elastic, resonance, deep-inelastic, and Regge regions, we find the real part of the box correction to be $\Box^{γW}_A = 3.90(9) \times 10^{-3}$. This improved correction gives a theoretical estimate of the CKM matrix element $|V_{ud}|^2=0.94805(26)$, which represents a 4$σ$ violation of unitarity.
