论文标题
在中微子背景中的中微子介导的电位上
On neutrino-mediated potentials in a neutrino background
论文作者
论文摘要
一对中微子与标准模型弱相互作用的交换会在费米子之间产生远距离的力。相关的潜力极度微弱，无质量中微子的$ \ propto g_f^2/r^5 $，即使在测试第五力量的最敏感的实验中，也无法观察到它。中微子背景的存在被认为是对中微子传播器的校正，从而通过数量级增强了电势。在此简短说明中，我们指出，如果背景中微子波袋具有有限的宽度，则这种修饰的繁殖器是无效的。通过在存在包括有限宽度效应在内的中微子背景的情况下重新评估2 - $ν$交换电位，我们发现背景诱导的增强量减少了几个数量级。不幸的是，这将结果2- $ν$交换潜力远离了新的远程力量测试的敏感性。
The exchange of a pair of neutrinos with Standard Model weak interactions generates a long-range force between fermions. The associated potential is extremely feeble, $\propto G_F^2/r^5$ for massless neutrinos, whichrenders it far from observable even in the most sensitive experiments testing fifth forces. The presence of a neutrino background has been argued to induce a correction to the neutrino propagator that enhances the potential by orders of magnitude. In this brief note, we point out that such modified propagators are invalid if the background neutrino wavepackets have a finite width. By reevaluating the 2--$ν$ exchange potential in the presence of a neutrino background including finite width effects, we find that the background-induced enhancement is reduced by several orders of magnitude. Unfortunately, this pushes the resulting 2--$ν$ exchange potential away from present and near-future sensitivity of tests of new long-range forces.
