×

On neutrino masses in the MSSM with BRpV. (English) Zbl 1325.81182

Summary: One-loop corrections to the neutrino mass matrix within the MSSM with bilinear R-parity violation are calculated, paying attention to the approach in which an effective \(3 \times 3\) neutrino mass matrix is used. The full mass matrix is block-diagonalized, it is found that second and third order terms can be numerically important, and this is analytically understood. Top-stop loops do not contribute to the effective \(3 \times 3\) approach at the first order, nevertheless they contribute at the third. An improved \(3 \times 3\) approach that includes these effects is proposed. A scan over parameter space is made supporting the conclusions.

MSC:

81V22 Unified quantum theories
81V15 Weak interaction in quantum theory
81T18 Feynman diagrams

References:

[1] Hatakeyama, Phys. Rev. Lett., 81, 2016 (1998)
[2] Ashie, Y., Phys. Rev. Lett., 93, 101801 (2004)
[3] Araki, T., Phys. Rev. Lett., 94, 081801 (2005)
[4] Aliu, E., Phys. Rev. Lett., 94, 081802 (2005)
[5] Sanchez, M. C., Phys. Rev. D, 68, 113004 (2003)
[6] Ahmed, S. N., Phys. Rev. Lett., 92, 181301 (2004)
[7] Abdurashitov, J. N., J. Exp. Theor. Phys.. J. Exp. Theor. Phys., Zh. Eksp. Teor. Fiz., 122, 211 (2002)
[8] Hampel, W., Phys. Lett. B, 447, 127 (1999)
[9] Ambrosio, M., Eur. Phys. J. C, 36, 323 (2004)
[10] Abe, K., Phys. Rev. Lett., 107, 041801 (2011)
[11] Adamson, P., Phys. Rev. Lett., 108, 191801 (2012)
[12] An, F. P., Phys. Rev. Lett., 108, 171803 (2012)
[13] Ahn, J. K., Phys. Rev. Lett., 108, 191802 (2012)
[14] Abe, Y., Phys. Rev. D, 86, 052008 (2012)
[15] Gonzalez-Garcia, M. C.; Maltoni, M.; Salvado, J.; Schwetz, T., J. High Energy Phys., 1212, 123 (2012)
[16] Haber, H. E.; Kane, G. L., Phys. Rep., 117, 75 (1985)
[17] Ibanez, L. E.; Ross, G. G., Nucl. Phys. B, 368, 3 (1992)
[18] Barbier, R., Phys. Rep., 420, 1 (2005)
[19] Diaz, M. A.; Romao, J. C.; Valle, J. W.F., Nucl. Phys. B, 524, 23 (1998)
[20] Hirsch, M.; Diaz, M. A.; Porod, W.; Romao, J. C.; Valle, J. W.F., Phys. Rev. D, 65, 119901 (2002), (Erratum)
[21] Diaz, M. A.; Hirsch, M.; Porod, W.; Romao, J. C.; Valle, J. W.F., Phys. Rev. D, 71, 059904 (2005), (Erratum)
[22] Aad, G., Phys. Lett. B, 710, 67 (2012)
[23] Hempfling, R., Nucl. Phys. B, 478, 3 (1996)
[24] Diaz, M. A.; Lineros, R. A.; Rivera, M. A., Phys. Rev. D, 67, 115004 (2003)
[25] Cravens, J. P., Phys. Rev. D, 78, 032002 (2008)
[26] Mira, J. M.; Nardi, E.; Restrepo, D. A.; Valle, J. W.F., Phys. Lett. B, 492, 81 (2000)
[27] Hirsch, M.; Romao, J. C.; Valle, J. W.F., Phys. Lett. B, 486, 255 (2000)
[28] Djouadi, A.; Kneur, J.-L.; Moultaka, G., Comput. Phys. Commun., 176, 426 (2007) · Zbl 1196.81018
[29] Chatrchyan, S., Phys. Lett. B, 716, 30 (2012)
[30] Beringer, J., Phys. Rev. D, 86, 010001 (2012)
[31] Ross, D. A.; Veltman, M. J.G., Nucl. Phys. B, 95, 135 (1975)
[32] Bennett, G. W., Phys. Rev. D, 73, 072003 (2006)
[33] Asner, D.
[34] Rubinstein, R. Y.; Kroese, D. P., Simulation and the Monte Carlo Method, Wiley Series in Probability and Statistics (2007) · Zbl 1061.90032
[35] Aad, G., Phys. Lett. B, 723, 15 (2013)
[36] Chatrchyan, S., Phys. Lett. B, 730, 193 (2014)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.