Probing grand unification with fermion masses,neutrino oscillations and proton decay |
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Authors: | Jogesh C Pati |
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Institution: | (1) Stanford Linear Accelerator Center, 94025 Menlo Park, CA, USA;(2) Present address: Department of Physics, University of Maryland, 20742 College Park, MD, USA |
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Abstract: | It is noted that a set of facts points to the relevance in four dimensions of conventional supersymmetric unification based
on minimally a string-unifiedG(224) symmetry, or maximallySO(10). These include: (i) the observed family structure, (ii) quantization of electric charge, (iii) meeting of the three gauge
couplings, (iv) neutrino oscillations (in particular the value of δm
2(νμ−δ
τ), suggested by SuperK), (v) the intricate pattern of the masses and mixings of the fermions, including the smallness ofV
cb and the largeness ofθ
μνμτ
osc
, and (vi) the need for B-L as a generator to implement baryogenesis (via leptogenesis). A concrete proposal is presented
within a predictiveSO(10)/G(224) framework that successfully describes the masses and mixings of all fermions, including the neutrinos — with eight predictions,
all in agreement with observation. Within this framework, a systematic study of proton decay is carried out, which (a) pays
special attention to its dependence on the fermion masses, (b) limits the threshold corrections so as to preserve natural
coupling unification, and (c) uses recently improved values of the matrix element and renormalization effects. Allowing for
both minimal supersymmetric standard model (MSSM) and its proposed variant, the so-called extended supersymmetric standard
model (ESSM), as effective low-energy the ories, the study shows that a conservative upper limit on the proton lifetime is
about (l–2)× 1034 years, with ·−K+ being the dominant decay mode, and quite possibly μ+
K
0 ande
+π0 being prominent. This in turn strongly suggests that an improvement in the current sensitivity by a factor of five to ten
ought to reveal proton decay. For comparison, some alternatives to the conventional approach to unification pursued here are
mentioned at the end.
Invited paper presented at the International Summer School held at ICTP, Trieste (June, 2001) and at WHEPP-7 Conference, Allahabad,
India (January, 2002). This is an updated version of the paper presented at the Erice School (September, 2000), hep-ph/0106082. |
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Keywords: | Grand unification proton decay supersymmetry |
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