NNLO QED修正与弹性轻子-质子散射中非弹性双光子交换的McMule计算
NNLO QED corrections and inelastic two-photon exchange in elastic lepton-proton scattering with McMule
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中文总结 AI 辅助
该研究将非弹性双光子交换贡献纳入McMule框架,扩展至低Q²区域,评估了MAGIX@MESA和ISR@MAMI实验中的NNLO QED修正,发现其对辐射尾部有约10%的影响。
中文摘要 AI 辅助
我们为McMule补充了非弹性双光子交换(TPE)贡献,McMule是一个在精细结构常数$\alpha$下提供至次次领头阶(NNLO)QED修正的蒙特卡洛框架。该贡献基于Tomalak、Pasquini和Vanderhaeghen的数据驱动色散计算,我们将其扩展到$Q^2\rightarrow 0$极限,从而适用于即将进行的低能实验所关注的低$Q^2$区域。我们给出了两种实验设置的结果:未来的MAGIX@MESA实验和ISR@MAMI测量。对于MAGIX@MESA运动学,非弹性TPE很小,与质子侧NLO修正相当,并且在施加1 MeV光子能量截断后,相对于轻子辐射修正和完整NNLO QED修正均处于次要地位。对于ISR@MAMI运动学,NNLO QED修正以10%的水平修改了弹性峰以下的辐射尾部。
英文摘要
We supplement McMule, a Monte Carlo framework that provides QED corrections up to next-to-next-to-leading order (NNLO) in the fine structure constant $α$, with the inelastic two-photon exchange (TPE) contribution, based on the data-driven dispersive calculation of Tomalak, Pasquini and Vanderhaeghen, which we extend to the $Q^2\rightarrow 0$ limit that enables applications in the low-$Q^2$ region relevant for upcoming low-energy experiments. We present results for two experimental settings: the future MAGIX@MESA experiment and the ISR@MAMI measurement. For MAGIX@MESA kinematics, the inelastic TPE is small, comparable to the proton-side NLO corrections and subdominant to both the leptonic radiative corrections and the full NNLO QED corrections once a 1 MeV photon-energy cut is applied. For the ISR@MAMI kinematics, NNLO QED corrections modify the radiative tail below the elastic peak at the 10% level.