Gauge Coupling Unification and Proton Decay

Author(s):  
Stuart Raby
Keyword(s):  
2021 ◽  
Vol 2021 (2) ◽  
Author(s):  
Maria Mehmood ◽  
Mansoor Ur Rehman ◽  
Qaisar Shafi

Abstract We explore proton decay in a class of realistic supersymmetric flipped SU(5) models supplemented by a U(1)R symmetry which plays an essential role in implementing hybrid inflation. Two distinct neutrino mass models, based on inverse seesaw and type I seesaw, are identified, with the latter arising from the breaking of U(1)R by nonrenormalizable superpotential terms. Depending on the neutrino mass model an appropriate set of intermediate scale color triplets from the Higgs superfields play a key role in proton decay channels that include p → (e+, μ+) π0, p → (e+, μ+) K0, p →$$ \overline{v}{\pi}^{+} $$ v ¯ π + , and p →$$ \overline{v}{K}^{+} $$ v ¯ K + . We identify regions of the parameter space that yield proton lifetime estimates which are testable at Hyper-Kamiokande and other next generation experiments. We discuss how gauge coupling unification in the presence of intermediate scale particles is realized, and a Z4 symmetry is utilized to show how such intermediate scales can arise in flipped SU(5). Finally, we compare our predictions for proton decay with previous work based on SU(5) and flipped SU(5).


2017 ◽  
Vol 32 (09) ◽  
pp. 1741013 ◽  
Author(s):  
Jogesh C. Pati

By way of paying tribute to Abdus Salam, I first recall the ideas of higher unification which the two of us introduced in 1972–73 to remove certain shortcomings in the status of particle physics prevailing then, and then present their current role in theory as well as experiments. These attempts initiated the idea of grand unification and provided the core symmetry-structure [Formula: see text]-color towards such a unification. Embodied with quark-lepton unification and left-right symmetry, the symmetry [Formula: see text] is uniquely chosen as being the minimal one that permits members of a family to belong to a single multiplet. The minimal extension of [Formula: see text] to a simple group is given by the attractive SO(10)-symmetry that was suggested a year later. The new concepts, and the many advantages introduced by this core symmetry (which are, of course, retained by SO(10) as well) are noted. These include explanations of the observed: (i) (rather weird) electroweak and color quantum numbers of the members of a family; (ii) quantization of electric charge; (iii) electron-proton charge-ratio being [Formula: see text]; (iv) the co-existence of quarks and leptons; (v) likewise that of the three basic forces — the weak, electromagnetic and strong; (vi) the non-trivial cancelation of the triangle anomalies within each family; and opening the door for (vii) the appealing concept of parity being an exact symmetry of nature at the fundamental level. In addition, as a distinguishing feature, both because of SU(4)-color and independently because of [Formula: see text] as well, the symmetry [Formula: see text] introduced, to my knowledge, for the first time in the literature: (viii) a new kind of matter — the right-handed (RH) neutrino [Formula: see text] — as a compelling member of each family, and together with it; (ix) (B-L) as a local symmetry. The RH neutrions — contrary to prejudices held in the 1970’s against neutrinos being massive and thereby against the existence of [Formula: see text]’s as well — have in fact turned out to be an asset. They are needed to (a) understand naturally the tiny mass-scales observed in neutrino oscillations by combining the seesaw mechanism together with the unification ideas based on the symmetry SU(4)-color, and also (b) to implement the attractive mechanism of baryogenesis via leptogenesis. The quantitative success of the attempts as regards understanding both (a) and (b) are discussed in Sec. 6. These provide a clear support simultaneously for the following three features: (i) the seesaw mechanism, (ii) the SU(4)-color route to higher unification based on a symmetry like SO(10) or a string-derived [Formula: see text] symmetry in 4D, as opposed to alternative symmetries like SU(5) or even [SU(3)]3, and (iii) the (B-L)-breaking scale being close to the unification scale [Formula: see text] GeV. The observed dramatic meeting of the three gauge couplings in the context of low-energy supersymmetry, at a scale [Formula: see text] GeV, providing strong evidence in favor of the ideas of both grand unification and supersymmetry, is discussed in Sec. 3. The implications of such a meeting in the context of string-unification are briefly mentioned. Weighing the possibility of a stringy origin of gauge coupling unification versus the familiar problem of doublet-triplet splitting in supersymmetric SO(10) (or SU(5)), I discuss the common advantages as well as relative merits and demerits of an effective SO(10) versus a string-derived [Formula: see text] symmetry in 4D. In Sec. 7, I discuss the hallmark prediction of grand unification, viz. proton decay, which is a generic feature of most models of grand unification. I present results of works carried out in collaboration with Babu and Wilczek and most recently with Babu and Tavartkiladze on expectations for decay modes and lifetimes for proton decay, including upper limits for such lifetimes, in the context of a well-motivated class of supersymmetric SO(10)-models. In view of such expectations, I stress the pressing need for having the next-generation large underground detectors — like DUNE and HyperKamiokande — coupled to long-baseline neutrino beams to search simultaneously with high sensitivity for (a) proton decay, (b) neutrino oscillations and (c) supernova neutrinos. It is remarked that the potential for major discoveries through these searches would be high. Some concluding remarks on the invaluable roles of neutrinos and especially of proton decay in probing physics at the highest energy scales are made in the last section. The remarkable success of a class of supersymmetric grand unification models (discussed here) in explaining a large set of distinct phenomena is summarized. Noticing such a success and yet its limitations in addressing some fundamental issues within its premises, such as an understanding of the origin of the three families, and most importantly, the realization of a well-understood unified quantum theory of gravity describing reality, some wishes are expressed on the possible emergence and the desirable role of a string-derived grand-unified bridge between string/M-theory in higher dimensions and the world of phenomena at low energies.


1995 ◽  
Vol 342 (1-4) ◽  
pp. 145-151 ◽  
Author(s):  
John S. Hagelin ◽  
S. Kelley ◽  
Veronique Ziegler
Keyword(s):  

2015 ◽  
Vol 2015 ◽  
pp. 1-8 ◽  
Author(s):  
Konsam Sashikanta Singh ◽  
N. Nimai Singh

The present analysis addresses an interesting primary question on how do the gauge and Yukawa couplings unification scales vary with varying SUSY breaking scalesms, assuming a single scale for all supersymmetric particles. It is observed that the gauge coupling unification scale increases withmswhereas third-generation Yukawa couplings unification scale decreases withms. The rising of the unification scale and also the mass of the color triplet multiplets is necessary to increase the proton decay lifetime; the analysis is carried out with two-loop RGEs for the gauge and Yukawa couplings within the minimal supersymmetric SU(5) model, while ignoring for simplicity the threshold effects of the heavy particles, which could be as large as a few percentages.


2019 ◽  
Vol 2019 (4) ◽  
Author(s):  
Stefan Pokorski ◽  
Krzysztof Rolbiecki ◽  
Graham G. Ross ◽  
Kazuki Sakurai

1991 ◽  
Vol 06 (19) ◽  
pp. 1745-1755 ◽  
Author(s):  
C. GIUNTI ◽  
C. W. KIM ◽  
U. W. LEE

The evolution of the gauge coupling constants in the SU (N) and SO (N) grand unification models is examined. It is shown that the three coupling constants αs, α2, α1 in the minimal SU(5) model do not merge into one at 99% confidence level when they are extrapolated from the values at the mass scale MZ, whereas in its supersymmetric version, the coupling constants do merge into one within one standard deviation. In the SU (N) (with N > 5) models with a two-step symmetry breaking the coupling constants can merge into one, but these models are ruled out by the constraint imposed on the unification mass scale from the absence of proton decay. The SO (N) models with N ≥ 10 are shown to be consistent with the proton decay constraint. In particular, the unification scale for the SO(10) model is shown to be 1015~1016 GeV and the intermediate energy scale is 1013~1014 GeV .


2019 ◽  
Vol 79 (12) ◽  
Author(s):  
Nobuchika Okada ◽  
Digesh Raut ◽  
Qaisar Shafi

AbstractWe propose a simple non-supersymmetric grand unified theory (GUT) based on the gauge group $$SO(10) \times U(1)_\psi $$SO(10)×U(1)ψ. The model includes 3 generations of fermions in $$\mathbf{16}$$16 ($$+1$$+1), $$\mathbf{10}$$10 ($$-2$$-2) and $$\mathbf{1}$$1 ($$+4$$+4) representations. The $$\mathbf{16}$$16-plets contain Standard Model (SM) fermions plus right-handed neutrinos, and the $$\mathbf{10}$$10-plet and the singlet fermions are introduced to make the model anomaly-free. Gauge coupling unification at $$M_{GUT} \simeq 5 \times 10^{15}{-}10^{16}$$MGUT≃5×1015-1016 GeV is achieved by including an intermediate Pati–Salam breaking at $$M_{I} \simeq 10^{12}{-}10^{11}$$MI≃1012-1011 GeV, which is a natural scale for the seesaw mechanism. For $$M_{I} \simeq 10^{12}{-}10^{11}$$MI≃1012-1011, proton decay will be tested by the Hyper-Kamiokande experiment. The extra fermions acquire their masses from $$U(1)_\psi $$U(1)ψ symmetry breaking, and a $$U(1)_\psi $$U(1)ψ Higgs field drives a successful inflection-point inflation with a low Hubble parameter during inflation, $$H_{inf} \ll M_{I}$$Hinf≪MI. Hence, cosmologically dangerous monopoles produced from SO(10) and PS breakings are diluted away. This is the first SO(10) model we are aware of in which relatively light intermediate mass ($$\sim 10^{10}{-}10^{12}$$∼1010-1012 GeV) primordial monopoles can be adequately suppressed. The reheating temperature after inflation can be high enough for successful leptogenesis. With the Higgs field contents of our model, a $$\mathbf{Z}_2$$Z2 symmetry remains unbroken after GUT symmetry breaking, and the lightest mass eigenstate among linear combinations of the $$\mathbf{10}$$10-plet and the singlet fermions serves as a Higgs-portal dark matter (DM). We identify the parameter regions to reproduce the observed DM relic density while satisfying the current constraint from the direct DM detection experiments. The present allowed region will be fully covered by the future direct detection experiments such as LUX-ZEPLIN DM experiment. In the presence of the extra fermions, the SM Higgs potential is stabilized up to $$M_{I}$$MI.


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