论文标题
使用OMSD近似,在存在无菌中微子的情况下进行物质效应的研究
Study of matter effects in the presence of sterile neutrino using OMSD approximation
论文作者
论文摘要
我们在存在物质效果的情况下讨论$ 3+1 $中微子风味混合情景中的过渡和生存概率。我们采用众所周知的OMSD(一个质量规模优势)近似来进行我们的分析。之后,我们执行大约$ \sinθ_{13} $ term term tor Seconders的系列扩展。我们发现,我们的结果与已经存在的$α-\sinθ_{13} $近似关系在消失$α$的极限和涉及无菌中微子的阶段的范围内是一致的。我们还发现,生存过渡概率变得独立于我们形式上的基本和无菌CP阶段。因此,它为我们提供了一种新的方法来研究仅对振荡概率贡献的贡献。同样,在基本CP违规阶段附近,过渡概率同时对由无菌阶段产生的CP侵略进行了独立研究。我们通过在物质存在下提供有关大气概率的关系,通过执行有关参数$ a(= 2ev)$的线性序列的序列扩展,而V是OMSD近似值下的有效物质潜力。
We discuss the transition and survival probabilities in $3+1$ neutrino flavor mixing scenario in presence of matter effects. We adopt the well-known OMSD(One Mass Scale Dominance) approximation to carry out our analysis. After that we perform series expansion about $\sin θ_{13}$ term upto second order. We find that our results are consistent with the already existing $α- \sin θ_{13}$ approximated relations in the limit of vanishing $α$ and phases involving sterile neutrinos. We also figure out that survival transition probability becomes independent of the fundamental and sterile CP phases under our formalism. Hence, it provides us a new way to look at only matter effects contribution to oscillation probability. Also, the transition probability at the same time gives an independent study of CP-violation arising from the sterile phases, in the vicinity of fundamental CP violation phase. We provide the relation for the atmospheric probability in the presence of matter by performing the series expansion upto linear order about parameter $A (= 2EV)$, with V being the effective matter potential under OMSD approximation.