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arXiv 1102.3432hep-ph
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See-Saw公式中次引导项的唯象后果

Phenomenological Consequences of sub-leading Terms in See-Saw Formulas

Hans Hettmansperger, Manfred Lindner, Werner Rodejohann

摘要:

几个方面的下一个领导(NLO)阶修正跷跷板公式进行了讨论,并确定唯象相关的情况。我们将计算为I型跷跷板开发的NLO项的形式推广到像逆、双或线性跷跷板的变体,即,对于存在两个以上质量标度的情况。在标准的I型情况下,有非常重的费米子单态,次主导项可以忽略不计。然而,当完全中性费米子质量矩阵的子矩阵服从适度的层次结构时,例如弱尺度和TeV尺度,百分比制度中的影响是可能的。例子是大项的抵消导致小中微子质量,或反向跷跷板的情况。此外,我们确定的情况下,没有非线性光学修正某些观测量出现,即μ-τ对称性和案件的中微子质量消失。最后,我们强调,不可避免的幺正性违反在跷跷板的情况下,额外的费米子可以计算的形式主义在一个简单的方式。

英文摘要:

Several aspects of next-to-leading (NLO) order corrections to see-saw formulas are discussed and phenomenologically relevant situations are identified. We generalize the formalism to calculate the NLO terms developed for the type I see-saw to variants like the inverse, double or linear see-saw, i.e., to cases in which more than two mass scales are present. In the standard type I case with very heavy fermion singlets the sub-leading terms are negligible. However, effects in the percent regime are possible when sub-matrices of the complete neutral fermion mass matrix obey a moderate hierarchy, e.g. weak scale and TeV scale. Examples are cancellations of large terms leading to small neutrino masses, or inverse see-saw scenarios. We furthermore identify situations in which no NLO corrections to certain observables arise, namely for mu-tau symmetry and cases with a vanishing neutrino mass. Finally, we emphasize that the unavoidable unitarity violation in see-saw scenarios with extra fermions can be calculated with the formalism in a straightforward manner.

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