arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 0905.3534hep-ph
收藏

A(4)和θ_{13} \sim θ_C的三双峰中微子混合

Tri-bimaximal Neutrino Mixing from A(4) and θ_{13} \sim θ_C

Yin Lin

摘要:

一般认为,如果用A(4)模型中的真空排列来解释三双峰混合(TBM)模式,则只能容纳很小的反应器角,比如说θ_{13} \sim λ ^2_C = λ_C \equiv θ_C = Cabibbo角。这种说法是基于这样的假设,即所有的flavon场都以非常相似的尺度获得VEV,并且在相同的扰动水平上出现与精确的TBM的偏离。然而,从实验观点看,目前的数据还不能排除θ_{13} \sim λ_C的较大值。在本文中,我们提出了一个跷跷板A(4)模型,其中前面的假设可以自然地回避。目的是描述一个θ_{13} \sim λ_C,而不与TBM对θ_{12}的预测相冲突,后者与观测值相当接近(在λ^2_C水平)。在我们的模式中,大气角与最大值的偏差服从求和规则:\sin ^2 θ_{23} \approx 1/2 + \sqrt{2} /2 \sin δ \cos θ_{13},这是我们模式的次优阶预报。

英文摘要:

It is a common believe that, if the Tri-bimaximal mixing (TBM) pattern is explained by vacuum alignment in an A(4) model, only a very small reactor angle, say θ_{13} \sim λ^2_C being λ_C \equiv θ_C the Cabibbo angle, can be accommodated. This statement is based on the assumption that all the flavon fields acquire VEVs at a very similar scale and the departures from exact TBM arise at the same perturbation level. From the experimental point of view, however, a relatively large value θ_{13} \sim λ_C is not yet excluded by present data. In this paper, we propose a Seesaw A(4) model in which the previous assumption can naturally be evaded. The aim is to describe a θ_{13} \sim λ_C without conflicting with the TBM prediction for θ_{12} which is rather close to the observed value (at λ^2_C level). In our model the deviation of the atmospherical angle from maximal is subject to the sum-rule: \sin ^2 θ_{23} \approx 1/2 + \sqrt{2}/2 \sin δ\cos θ_{13} which is a next-to-leading order prediction of our model.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑