Summary
The tiny neutrino masses and the associated large lepton mixings provide an interesting puzzle and a likely window to the physics beyond the standard model. This is certainly true if neutrinos are Majorana particles, since then, unlike in the Dirac case, the standard model is not a complete theory. The Majorana case leads to lepton number violation manifested through neutrinoless-double-beta decay and same-sign dileptons potentially accessible to colliders such as the LHC. This is covered at length. I discuss in these lectures possible theories of neutrino mass whose predictions are dictated by their structure only and this points strongly to grand unification. I cover in detail both SU(5) and SO(10) grand unified theories, and study the predictions of their minimal versions. The main message I wish to bring across is a serious hope of probing the origin of neutrino mass in near future, through the combined effort of high-energy collider and low-energy lepton number and lepton flavor violation experiments.
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References
Mohapatra R. N. and Pal P. B., World Sci. Lect. Notes Phys., 60 (1998) 1 (World Sci. Lect. Notes Phys., 72 (2004) 1).
Strumia A. and Vissani F., arXiv:hep-ph/0606054.
Mohapatra R. N., Unification and Supersymmetry, in The Frontiers of Quark-Lepton Physics - Contemporary Physics (Springer, Berlin) 1986, p. 309.
Ross G. G., Grand Unified Theories, in Frontiers In Physics, Vol. 60 (Benjamin/Cummings, Reading, MA) 1984, p. 497.
Schwinger J. S., Ann. Phys., 2 (1957) 407.
Georgi H. and Glashow S. L., Phys. Rev. Lett., 28 (1972) 1494.
‘T Hooft G., Nucl. Phys. B, 79 (1974) 276.
Polyakov A. M., JETP Lett., 20 (1974) 194 (Pisma Zh. Eksp. Teor. Fiz., 20 (1974) 430).
Glashow S. L., Nucl. Phys., 22 (1961) 579.
Weinberg S., Phys. Rev. Lett., 19 (1967) 1264.
Salam A., Elementary Particle Theory, Proceedings of the 8th Nobel Symposium, Lerum, Sweden, 1986, edited by N. Svartholm (Almqvist and Wiksell, Stockholm) 1968, pp. 367–377.
Georgi H. and Glashow S. L., Phys. Rev. Lett., 32 (1974) 438.
Dirac P. A. M., Phys. Rev., 74 (1948) 817.
Fritzsch H. and Minkowski P., Ann. Phys., 93 (1975) 193.
Lee T. D. and Yang C. N., Phys. Rev., 104 (1956) 254.
Pati J. C. and Salam A., Phys. Rev. D, 10 (1974) 275.
Mohapatra R. N. and Pati J. C., Phys. Rev. D, 11 (1975) 2558.
Senjanović G. and Mohapatra R. N., Phys. Rev. D, 12 (1975) 1502.
Senjanović G., Nucl. Phys. B, 153 (1979) 334.
Minkowski P., Phys. Lett. B, 67 (1977) 421.
Mohapatra R. and Senjanović G., Phys. Rev. Lett., 44 (1980) 912.
Yanagida T., Proceedings of the Workshop on Unified Theories and Baryon Number in the Universe, Tsukuba, 1979, edited by Sawada A. and Sugamoto A., KEK Report No. 79–18, Tsukuba.
Glashow S., in Quarks and Leptons, Cargèse 1979, edited by LÉvy M. et al. (Plenum, New York) 1980.
Gell-mann m., ramond P. and Slansky R., Proceedings of the Supergravity Stony Brook Workshop, New York, 1979, edited by Van niewenhuizen P. and Freeman D. (North-Holland, Amsterdam).
Weinberg S., Phys. Rev. Lett., 43 (1979) 1566.
Majorana E., Nuovo Cimento, 14 (1937) 171.
Racah G., Nuovo Cimento, 14 (1937) 322.
Furry W. H., Phys. Rev., 56 (1939) 1184.
Magg M. and Wetterich C., Phys. Lett. B, 94 (1980) 61.
Lazarides G., Shafi Q. and Wetterich C., Nucl. Phys. B, 181 (1981) 287.
Mohapatra R. N. and Senjanović G., Phys. Rev. D, 23 (1981) 165.
Foot R., Lew H., He X. G. and Joshi G. C., Z. Phys. C, 44 (1989) 441.
Ma E., Phys. Rev. Lett., 81 (1998) 1171, [arXiv:hep-ph/9805219].
Keung W. Y. and Senjanović G., Phys. Rev. Lett., 50 (1983) 1427.
Dvali G. R. and Senjanović G., Phys. Rev. Lett., 74 (1995) 5178, [hep-ph/9501387]. Dvali G. R., Melfo A., SenjanoviĆ G., Phys. Rev. D, 54 (1996) 7857, [hep-ph/9601376].
Weinberg S., Phys. Rev. D, 9 (1974) 3357; Mohapatra R. N. and SenjanoviĆ G., Phys. Rev. Lett., 42 (1979) 1651; Mohapatra R. N. and SenjanoviĆ G., Phys. Rev. D, 20 (1979) 3390. Mohapatra R. N. and SenjanoviĆ G., Phys. Lett. B, 89 (1979) 57.
Rai B. and SenjanoviĆ G., Phys. Rev. D, 49 (1994) 2729, [hep-ph/9301240].
For a recent complete study, see Maiezza A., Nemevšek M., Nesti F. and Senjanović G., arXiv:1005.5160 [hep-ph]. The original work is due Beall G., Bander M. and Soni A., Phys. Rev. Lett., 48 (1982) 848. The first correct computation including the third generation of quarks can be found in Mohapatra R. N., SenjanoviĆ G. and Tran M. D., Phys. Rev. D, 28 (1983) 546.
Zhang Y., An H., Ji X. and Mohapatra R. N., Nucl. Phys. B, 802 (2008) 247, [arXiv:0712.4218 [hep-ph]].
Xu F., An H. and Ji X., arXiv:0910.2265 [hep-ph].
Cirigliano V. et al., Phys. Rev. D, 70 (2004) 075007, [hep-ph/0404233].
Cirigliano V. et al., Phys. Rev. Lett., 93 (2004) 231802, [arXiv:hep-ph/0406199].
Tello V., NemevŠek M., Nesti F., SenjanoviĆ G. and Vissani F., arXiv:1011.3522 [hep-ph].
Bellgardt U. et al. (SINDRUM Collaboration), Nucl. Phys. B, 299 (1988) 1.
Raidal M. and Santamaria A., Phys. Lett. B, 421 (1998) 250, [hep-ph/9710389].
Bertl W. H. et al. (SINDRUM II Collaboration), Eur. Phys. J. C, 47 (2006) 337.
Brooks M. L. et al. (MEGA Collaboration), Phys. Rev. Lett., 83 (1999) 1521, [arXiv:hep-ex/9905013].
Miyazaki Y. et al. (Belle collaboration), Phys. Lett. B, 660 (2008) 154, [arXiv:0711.2189 [hep-ex]]. Aubert B. et al. (BABAR Collaboration), Phys. Rev. Lett., 99 (2007) 251803, [arXiv:0708.3650 [hep-ex]].
Ankenbrandt C. et al., arXiv:physics/0611124.
http://j-parc.jp/NuclPart/pac0701/pdf/P21-LOI.pdf. http://j-parc.jp/NuclPart/pac0606/pdf/p20-Kuno.pdf.
Bajc B., Nemevšek M. and Senjanović G., Phys. Lett. B, 684 (2010) 231, [arXiv:0911.1323 [hep-ph]].
Chanowitz M. S., Ellis J. R. and Gaillard M. K., Nucl. Phys. B, 128 (1977) 506; Buras A. J., Ellis J. R., Gaillard M. K. and Nanopoulos D. V., Nucl. Phys. B, 135 (1978) 66.
Ellis J. R. and Gaillard M. K., Phys. Lett. B, 88 (1979) 315; Buras A. J., Ellis J. R., Gaillard M. K. and Nanopoulos D. V., Nucl. Phys. B, 135 (1978) 66.
Mohapatra R. N., Phys. Rev. Lett., 43 (1979) 893.
Wilczek F. and Zee A., Phys. Lett. B, 88 (1979) 311.
Dimopoulos S., Raby S. and Wilczek F., Phys. Rev. D, 24 (1981) 1681.
Ibáñez L. E. and Ross G. G., Phys. Lett. B, 105 (1981) 439.
Einhorn M. B. and Jones D. R., Nucl. Phys. B, 196 (1982) 475.
Marciano W. and SenjanoviĆ G., Phys. Rev. D, 25 (1982) 3092.
Nishino H. et al. (Super-kamiokande collaboration), Phys. Rev. Lett., 102 (2009) 141801, [arXiv:0903.0676 [hep-ex]].
Sakai N. and Yanagida T., Nucl. Phys. B, 197 (1982) 533. Weinberg S., Phys. Rev. D, 26 (1982) 287.
Murayama H. and Pierce A., Phys. Rev. D, 65 (2002) 055009, [arXiv:hep-ph/0108104].
Bajc B., Pérez P. Fileviez and Senjanović G., Phys. Rev. D, 66 (2002) 075005, [arXiv:hep-ph/0204311].
Bajc B., PÉrez P. Fileviez and SenjanoviĆ G., arXiv:hep-ph/0210374.
Bachas C., Fabre C. and Yanagida T., Phys. Lett. B, 370 (1996) 49, [arXiv:hep-th/9510094].
Bajc B. and SenjanoviĆ G., arXiv:hep-ph/0612029.
Bajc B., NemevŠek M. and SenjanoviĆ G., arXiv:hep-ph/0703080.
Arhrib A., Bajc B., Ghosh D. K., Han T., Huang G. Y., Puljak I. and SenjanoviĆ G., arXiv:0904.2390 [hep-ph].
Ibarra A. and Ross G. G., Phys. Lett. B, 591 (2004) 285, [arXiv:hep-ph/0312138].
Joaquim F. R. and Rossi A., Phys. Rev. Lett., 97 (2006) 181801, [arXiv:hep-ph/0604083]; Joaquim F. R. and Rossi A., Nucl. Phys. B, 765 (2007) 71, [arXiv:hep-ph/0607298].
Mohapatra R. N., Phys. Rev. D, 34 (1986) 3457; Font A., IbÁÑez L. E. and Quevedo F., Phys. Lett. B, 228 (1989) 79; Martin S. P., Phys. Rev. D, 46 (1992) 2769.
Aulakh C. S., Benakli K. and Senjanović G., Phys. Rev. Lett., 79 (1997) 2188; Aulakh C. S., Melfo A. and SenjanoviĆ G., Phys. Rev. D, 57 (1998) 4174; Aulakh C. S., Melfo A., RaŠin A. and SenjanoviĆ G., Phys. Rev. D, 58 (1998) 115007, [arXiv:hep-ph/9712551]; Aulakh C. S., Melfo A., RaŠin A. and SenjanoviĆ G., Phys. Lett. B, 459 (1999) 557.
Aulakh C. S., Bajc B., Melfo A., RaŠin A. and SenjanoviĆ G., Nucl. Phys. B, 597 (2001) 89.
Bajc B., SenjanoviĆ G. and Vissani F., Phys. Rev. Lett., 90 (2003) 051802.
Bajc B., SenjanoviĆ G. and Vissani F., Phys. Rev. D, 70 (2004) 093002, [arXiv:hep-ph/0402140]. See also Bajc B., SenjanoviĆ G. and Vissani F., arXiv:hep-ph/0110310.
For useful reviews on spinors in SO(2N) see Mohapatra R. N. and Sakita B., Phys. Rev. D, 21 (1980) 1062 and Wilczek F. and Zee A., Phys. Rev. D, 25 (1982) 553. See also Nath P. and Syed R. M., Nucl. Phys. B, 618 (2001) 138 and Aulakh C. S. and Girdhar A., arXiv:hep-ph/0204097.
Babu K. S. and Mohapatra R. N., Phys. Rev. Lett., 70 (1993) 2845.
Witten E., Phys. Lett. B, 91 (1980) 81.
Bajc B. and SenjanoviĆ G., Phys. Lett. B, 610 (2005) 80, [arXiv:hep-ph/0411193].
Bajc B. and SenjanoviĆ G., Phys. Rev. Lett., 95 (2005) 261804, [arXiv:hep-ph/0507169].
See e.g. Chang D., Mohapatra R. N., Gipson J., Marshak R. E. and Parida M. K., Phys. Rev. D, 31 (1985) 1718.
Bajc B., Melfo A., SenjanoviĆ G. and Vissani F., Phys. Rev. D, 73 (2006) 055001, [arXiv:hep-ph/0510139].
Arason H., Castano D. J., Piard E. J. and Ramond P., Phys. Rev. D, 47 (1993) 232, [arXiv:hep-ph/9204225].
Aulakh C. S. and Mohapatra R. N., Phys. Rev. D, 28 (1983) 217.
Clark T. E., Kuo T. K. and Nakagawa N., Phys. Lett. B, 115 (1982) 26.
Chang D., Mohapatra R. N. and Parida M. K., Phys. Rev. D, 30 (1984) 1052; He X. G. and Meljanac S., Phys. Rev. D, 41 (1990) 1620; Lee D. G., Phys. Rev. D, 49 (1994) 1417; Lee D. G. and Mohapatra R. N., Phys. Rev. D, 51 (1995) 1353.
Aulakh C. S., Bajc B., Melfo A., Senjanović G. and Vissani F., Phys. Lett. B, 588 (2004) 196.
Bajc B., Melfo A., Senjanović G. and Vissani F., Phys. Rev. D, 70 (2004) 035007.
Fukuyama T., Ilakovac A., Kikuchi T., Meljanac S. and Okada N., arXiv:hep-ph/0401213; Aulakh C. S. and Girdhar A., arXiv:hep-ph/0204097.
Aulakh C. S. and Girdhar A., arXiv:hep-ph/0405074.
Goh H. S., Mohapatra R. N. and Nasri S., arXiv:hep-ph/0408139.
Feinberg G. and Goldhaber M., Proc. Natl. Acad. Sci. U.S.A., 45 (1959) 1301; Pontecorvo B., Phys. Lett. B, 26 (1968) 630.
Vissani F., JHEP, 9906 (1999) 022, [hep-ph/9906525]; Feruglio F., Strumia A. and Vissani F., Nucl. Phys. B, 637 (2002) 345, [hep-ph/0201291].
Hamann J., Hannestad S., Raffelt G. G. et al., Phys. Rev. Lett., 105 (2010) 181301, [arXiv:1006.5276 [hep-ph]].
Ferrari A. et al., Phys. Rev. D, 62 (2000) 013001; Gninenko S. N., Kirsanov M. M., Krasnikov N. V. and Matveev V. A., Phys. At. Nucl., 70 (2007) 441; See also a recent talk on the ATLAS study by Bansal V., arXiv:0910.2215[hep-ex].
Akeroyd A. G. and Aoki M., Phys. Rev. D, 72 (2005) 035011, [arXiv:hep-ph/0506176]; Azuelos G., Benslama K. and Ferland J., J. Phys. G, 32 (2006) 73, [arXiv:hep-ph/0503096]; Han T., Mukhopadhyaya B., Si Z. and Wang K., Phys. Rev. D, 76 (2007) 075013, [arXiv:0706.0441 [hep-ph]]; Akeroyd A. G., Aoki M. and Sugiyama H., Phys. Rev. D, 77 (2008) 075010, [arXiv:0712.4019 [hep-ph]]; PÉrez P. Fileviez, han T., Huang G. Y., Li T. and Wang K., Phys. Rev. D, 78 (2008) 015018, [arXiv:0805.3536 [hep-ph]].
Kadastik M., Raidal M. and Rebane L., Phys. Rev. D, 77 (2008) 115023, [arXiv:0712.3912 [hep-ph]]; Garayoa J. and Schwetz T., JHEP, 0803 (2008) 009, [arXiv:0712.1453 [hep-ph]]; PÉrez P. Fileviez, han T., Huang G. Y., Li T. and Wang K., Phys. Rev. D, 78 (2008) 071301, [arXiv:0803.3450 [hep-ph]].
Huitu K., Maalampi J., Pietila A. and Raidal M., Nucl. Phys. B, 487 (1997) 27, [arXiv:hep-ph/9606311].
Franceschini R., Hambye T. and Strumia A., Phys. Rev. D, 78 (2008) 033002, [arXiv:0805.1613 [hep-ph]]; Del Aguila F. and Aguilar-saavedra J. A., arXiv:0808.2468 [hep-ph]; Del aguila F. and Aguilar-saavedra J. A., arXiv:0809.2096 [hep-ph]; Arhrib A., Bajc B., Ghosh D. K., Han t., huang G. Y., Puljak I. and SenjanoviĆ G., arXiv:0904.2390 [hep-ph]; Li T. and He X. G., arXiv:0907.4193 [hep-ph].
Kamenik J. F. and NemevŰek M., JHEP, 0911 (2009) 023, [arXiv:0908.3451 [hep-ph]]; See also, Abada A., Biggio C., Bonnet F. et al., JHEP, 0712 (2007) 061, [arXiv:0707.4058 [hep-ph]]; He X.-G. and Oh S., JHEP, 0909 (2009) 027, [arXiv:0902.4082 [hep-ph]].
Dorsner I., Perez P. Fileviez and Felipe R. Gonzalez, Nucl. Phys. B, 747 (2006) 312, [hep-ph/0512068].
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Updated reproduction from Proceedings of the International School of Physics “Enrico Fermi”, Course CLXX “Measurements of Neutrino Mass”, edited by F. Ferroni, F. Vissani and C. Brofferio (IOS Press, Amsterdam and SIF, Bologna) 2009, pp. 269–322.
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Senjanović, G. Neutrino mass: From LHC to grand unification. Riv. Nuovo Cim. 34, 1–68 (2011). https://doi.org/10.1393/ncr/i2011-10061-8
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DOI: https://doi.org/10.1393/ncr/i2011-10061-8