Weak neutral current axial form factor using $$ \left(\overline{\nu}\right)\nu $$-nucleon scattering and lattice QCD inputs

Weak neutral current axial form factor using $$ \left(\overline{\nu}\right)\nu $$-nucleon scattering and lattice QCD inputs
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使用 $$ left(overline{ u} ight) u $$-核子散射和晶格 QCD 输入的弱中性电流轴向形状因子

DOI:
10.1007/jhep01(2020)136
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发表时间:
2018
影响因子:
5.4
通讯作者:
D. Richards
D. Richards
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
R. Sufian;Keh;D. Richards

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利用格点QCD计算的奇异夸克轴荷G ^sA(0)确定了中性流弱轴荷G^sA(0)=-0.654(3)_{\rmstat}(5)_{\rmsys}$.然后我们进行现象学分析,其中,我们将格点QCD中的奇夸克电磁形状因子与MiniBooNE实验中的中微子-核子散射微分截面相结合,在动量转移区0.24\lesssim Q^2\lesssim 0.71$GeV $^2 $确定了中性流弱轴向形状因子G^Z_A(Q^2)$在0\lesssim Q^2\leq 1$GeV$^2$.这就产生了一个唯象值:$G^Z_A(0)=-0.687(89)_{\rm stat}(40)_{\rm sys}$。格点QCD计算的$G^s_A(0)$约束的$G^Z_A(0)$的值与唯象确定的值相比,在精度和准确度上有了显著的提高,并且可以用来为$G^Z_A(Q^2)$的拟合提供约束条件(当Q^2>0$时)。这种约束拟合导致明确的确定(反)中微子-核子中性流弹性散射微分截面附近的Q^2 =0$,可以发挥重要的作用,在这个区域的核效应的数值隔离。我们证明了由(反)中微子-核子散射截面数据得到的G^Z_A(Q^2)$的一致描述需要奇夸克电磁形状因子的非零贡献。我们通过提供BNL E734实验数据的预测来证明我们分析的鲁棒性。
We present a determination of the neutral current weak axial charge $G^Z_A(0)=-0.654(3)_{\rm stat}(5)_{\rm sys}$ using the strange quark axial charge $G^s_A(0)$ calculated with lattice QCD. We then perform a phenomenological analysis, where we combine the strange quark electromagnetic form factor from lattice QCD with (anti)neutrino-nucleon scattering differential cross section from MiniBooNE experiments in a momentum transfer region $0.24\lesssim Q^2 \lesssim 0.71$ GeV$^2$ to determine the neutral current weak axial form factor $G^Z_A(Q^2)$ in the range of $0\lesssim Q^2\leq 1$ GeV$^2$. This yields a phenomenological value of $G^Z_A(0)=-0.687(89)_{\rm stat}(40)_{\rm sys}$. The value of $G^Z_A(0)$ constrained by the lattice QCD calculation of $G^s_A(0)$, when compared to its phenomenological determination, provides a significant improvement in precision and accuracy and can be used to provide a constraint on the fit to $G^Z_A(Q^2)$ for $Q^2>0$. This constrained fit leads to an unambiguous determination of (anti)neutrino-nucleon neutral current elastic scattering differential cross section near $Q^2=0$ and can play an important role in numerically isolating nuclear effects in this region. We show a consistent description of $G^Z_A(Q^2)$ obtained from the (anti)neutrino-nucleon scattering cross section data requires a nonzero contribution of the strange quark electromagnetic form factor. We demonstrate the robustness of our analysis by providing a post-diction of the BNL E734 experimental data.
DOI: 10.1103/physrevlett.106.181801
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