质子张量电荷提取中π⁰电产生截面的似然与相关性分析
Likelihood \& Correlation Analysis of $π^o$ Electroproduction for Proton Tensor Charge Extraction
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中文总结 AI 辅助
该研究通过联合似然分析π⁰电产生截面与自旋不对称性数据，结合MCMC方法提取康普顿形状因子，并利用贝叶斯框架确定质子张量电荷与张量反常磁矩。
中文摘要 AI 辅助
我们对离质子深虚康普顿散射中π⁰电产生的可观测量进行了似然分析。我们使用了杰斐逊实验室A厅和B厅在不同纵向极化构型下测量的截面以及束流和靶自旋不对称性的实验数据。通过局部提取，对于每个运动学区间，我们推导了定义不同极化构型的各种螺旋度振幅的联合似然。随后，我们提取了在手征奇扇区参数化底层QCD散射振幅的康普顿形状因子。采用马尔可夫链蒙特卡洛（MCMC）方法探索完整参数空间，提取参数不确定性、相关性和可信区间。截面和不对称性数据的联合似然分析约束了参数空间，表明更大的运动学覆盖范围和额外的极化构型（例如横向扇区）将提高参数的精度。我们还报告了在贝叶斯统计框架下使用深虚康普顿散射数据确定的质子张量电荷和张量反常磁矩。
英文摘要
We present a likelihood analysis of observables in deeply virtual exclusive $π^o$ electro-production off the proton. We use experimental data for the cross section as well as the beam and target spin asymmetries measured in various longitudinal polarization configurations at Jefferson Lab Hall A and Hall B. Performing a local extraction, for each kinematic bin, we derive a joint likelihood for the various helicity amplitudes defining the different polarization configurations. We subsequently extract the Compton form factors that parameterize the underlying QCD scattering amplitudes in the chiral-odd sector. Markov chain Monte Carlo (MCMC) methods are employed to explore the full parameter space, extracting the parameter uncertainties, correlations and credible intervals. The joint likelihood analysis of the cross-section and asymmetry data constrains the parameter space indicating that a larger kinematic coverage and additional polarization configurations, {\it e.g.} in the transverse sector, will improve the precision of the parameters. We also report a determination of the proton tensor charge and tensor anomalous magnetic moment extracted in a Bayesian statistical framework using deeply virtual exclusive scattering data.
发表机构
- University of Virginia（弗吉尼亚大学）
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