论文标题
密集物质中的Lepton风味混合的辐射校正
Radiative corrections to the lepton flavor mixing in dense matter
论文作者
论文摘要
一环辐射校正将导致$ν_μ^{} $开发的物质电位与$ν_τ$之间的差异。 By including such radiative corrections, we derive the exact expressions of the corresponding effective mass-squared differences and the moduli square of the lepton flavor mixing matrix elements $|\widetilde U_{αi}^{}|^2$ (for $α=e,μ,τ$ and $i=1,2,3$) in matter in the standard three-flavor mixing scheme and focus on their asymptotic当物质密度非常大时（即，物质效应参数$ a \ equiv 2 \ sqrt {2} g _ {\ rm f}^{} n_e^{} e $很大）。不同于$ | \ widetilde u_ {αi}^{} |^2 $在$ a \ to \ infty $限制中的$ | \ widetilde u_ {a \ a \ to \ infty $ loadiative cortion的固定值不同，我们得到$ | \ wideTilde u_ {αi}^{αi}^{}^{} |^{} |^2 = 0〜 = 0〜 {\ rm或rm orm或rm或rm or}辐射校正可以显着影响着密集物质中的Lepton风味混合，这些混合在数值和分析上进行了详细讨论。此外，我们还将讨论扩展到$（3+1）$ Active-Sterile中微子混合方案。
One-loop radiative corrections will lead to a small difference between the matter potentials developed by $ν_μ^{}$ and $ν_τ$ when they travel in a medium. By including such radiative corrections, we derive the exact expressions of the corresponding effective mass-squared differences and the moduli square of the lepton flavor mixing matrix elements $|\widetilde U_{αi}^{}|^2$ (for $α=e,μ,τ$ and $i=1,2,3$) in matter in the standard three-flavor mixing scheme and focus on their asymptotic behaviors when the matter density is very big (i.e., the matter effect parameter $A\equiv 2\sqrt{2} G_{\rm F}^{} N_e^{}E$ is very big). Different from the non-trivial fixed value of $|\widetilde U_{αi}^{}|^2$ in the $A\to \infty$ limit in the case without radiative corrections, we get $|\widetilde U_{αi}^{}|^2=0~{\rm or}~1$ under this extreme condition. The radiative corrections can significantly affect the lepton flavor mixing in dense matter, which are numerically and analytically discussed in detail. Furthermore, we also extend the discussion to the $(3+1)$ active-sterile neutrino mixing scheme.
