Numerical consistency check between two approaches to radiative corrections for neutrino masses and mixings

被引:6
|
作者
Das, MK
Patgiri, M [1 ]
Singh, NN
机构
[1] Gauhati Univ, Dept Phys, Gauhati 781014, India
[2] Cotton Coll, Dept Phys, Gauhati 781001, India
[3] Abdus Salaam Int Ctr Theoret Phys, I-31014 Trieste, Italy
来源
PRAMANA-JOURNAL OF PHYSICS | 2005年 / 65卷 / 06期
关键词
radiative correction; renormalisation group equations; neutrino masses and mixing angles; conjecture;
D O I
10.1007/BF02705276
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We briefly outline the two popular approaches on radiative corrections to neutrino masses and mixing angles, and then carry out a detailed numerical analysis for a consistency check between them in MSSM. We find that the two approaches are nearly consistent with a discrepancy factor of 4.2% with running vacuum expectation value (VEV) (13% for scale-independent VEV) in mass eigenvalues at low-energy scale but the predictions on mixing angles are almost consistent. We check the stability of the three types of neutrino models, i.e., hieraxchical,, inverted hierarchical and degenerate models, tinder radiative corrections, using both approaches, and find consistent conclusions. The neutrino mass models which axe found to be stable under radiative corrections in MSSM axe the normal hierarchical model and the inverted hierarchical model with opposite CP parity. We also carry out numerical analysis on some important conjectures related to radiative corrections in the MSSM, viz., radiative magnification of solar and atmospheric mixings in the case of nearly degenerate model having same CP parity (MPR conjecture) and radiative generation of solar mass scale in exactly two-fold degenerate model with opposite CP parity and non-zero U-e3 (JM conjecture). We observe certain exceptions to these conjectures. We find a new result that both solar mass scale and U-e3 can be generated through radiative corrections at low energy scale. Finally the effect of scale-dependent vacuum expectation value in neutrino mass renormalisation is discussed.
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页码:995 / 1013
页数:19
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