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arXiv 1111.2725hep-ph
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真空切伦科夫过程对超光速中微子的约束

Constraint on super-luminal neutrinos from vacuum Cerenkov processes

Subhendra Mohanty, Soumya Rao

摘要:

我们研究了类切伦科夫发射的$e^+ e^-$从μ子超光速μ子中微子假设的二次能量依赖的中微子速度所产生的洛伦兹破坏相互作用。我们发现,与OPERA的中微子-光子速度差的结果,过程$ν_μ\rightarrow ν_μe^+ e^-$的衰变长度是17,039公里,这是远远大于OPERA中微子的路径长度730公里。我们还计算了超光速出射中微子的π衰变率,发现在OPERA中微子能量下,π衰变长度与标准洛伦兹守恒情况的偏差为2%。我们的结论是,如果μ介子-中微子速度具有二次能量依赖性,那么OPERA的结果与未观测到禁戒中微子衰变和偏离标准π介子衰变寿命的结果是一致的.

英文摘要:

We examine the Cerenkov-like emission of $e^+ e^-$ from muon super-luminal muon neutrinos assuming a quadratic energy dependence of the neutrino velocity arising from Lorentz violating interactions. We find that with the OPERA result for the neutrino-photon velocity difference, the decay length for the process $ν_μ\rightarrow ν_μe^+ e^-$ is 17,039 km which is much larger than the OPERA neutrinos path length of 730 km. We also calculate the pion rate for super-luminal outgoing neutrinos, and we find that the deviation of the pion decay length from the standard Lorentz conserving case at the OPERA neutrino energy is 2%. We conclude that if the muon-neutrino velocity has a quadratic energy dependence, then OPERA result is consistent with non-observation of forbidden neutrino decays and large deviations from the standard pion decay lifetime.

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