论文标题

加速器中微子的辐射校正对次数衰变的辐射校正

Radiative corrections to inverse muon decay for accelerator neutrinos

论文作者

Tomalak, Oleksandr, Borah, Kaushik, Hill, Richard J., McFarland, Kevin S., Ruterbories, Daniel

论文摘要

逆元衰减($ν_μE^ - \ toν_eμ^ - $)是一种有前途的工具,可以用能量来约束中微子通量$e_ν\ ge 10.9〜 \ mathrm {gev} $。辐射校正将百分比扭曲引入了传出妈妈的能量光谱,并取决于实验细节。在本文中,我们将辐射校正计算为散射过程$ν_μE^ - \至ν_eμ^ - $和$ \barν_ee^ - \ to \barν_μμ^ - $。我们介绍了两个通道的MUON能量谱,MUON能量和MUON散射角度以及光子能和光子散射角的双分布,以及主要的$ν_μEE^ - \ to的光子能谱。我们的结果阐明并扩展了文献中先前结果的适用性和延长源能量和光子能量中双差分分布的适用性,以及在阈值能量高于阈值的光子的辐射光子中。我们为单个,双重和三重差分截面提供分析表达式,并讨论辐射校正如何修改实验有趣的可观察分布。

Inverse muon decay ($ν_μe^- \to ν_e μ^-$) is a promising tool to constrain neutrino fluxes with energies $E_ν \ge 10.9~\mathrm{GeV}$. Radiative corrections introduce percent-level distortions to energy spectra of outgoing muons and depend on experimental details. In this paper, we calculate radiative corrections to the scattering processes $ν_μe^- \to ν_e μ^-$ and $\barν_e e^- \to \barν_μμ^-$. We present the muon energy spectrum for both channels, double-differential distributions in muon energy and muon scattering angle and in photon energy and photon scattering angle, and the photon energy spectrum for the dominant $ν_μe^- \to ν_e μ^-$ process. Our results clarify and extend the region of applicability of previous results in the literature for the double differential distribution in muon energy and photon energy, and in the muon energy spectrum with a radiated photon above a threshold energy. We provide analytic expressions for single, double and triple differential cross sections, and discuss how radiative corrections modify experimentally interesting observable distributions.

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