Abstract
We investigate models where gauge unification (GUT) proceeds in steps that include Pati-Salam symmetry. Beyond the Standard Model, we allow for a well-defined set of small representations of the GUT gauge group. We show that all possible chains of PatiSalam symmetry breaking can be realized in accordance with gauge-coupling unification. We identify, in particular, models with unification near the Planck scale, with intermediate left-right or SU(4) quark-lepton symmetries that are relevant for flavor physics, with new colored particles at accessible energies, and with an enlarged electroweak Higgs sector. We look both at supersymmetric and non-supersymmetric scenarios.
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References
R.N. Mohapatra and J.C. Pati, A natural left-right symmetry, Phys. Rev. D 11 (1975) 2558 [INSPIRE].
G. Senjanović and R.N. Mohapatra, Exact left-right symmetry and spontaneous violation of parity, Phys. Rev. D 12 (1975) 1502 [INSPIRE].
J.C. Pati and A. Salam, Lepton number as the fourth color, Phys. Rev. D 10 (1974) 275 [Erratum ibid. D 11 (1975) 703] [INSPIRE].
J.C. Pati and A. Salam, Unified lepton-hadron symmetry and a gauge theory of the basic interactions, Phys. Rev. D 8 (1973) 1240 [INSPIRE].
H. Georgi and S.L. Glashow, Unity of all elementary particle forces, Phys. Rev. Lett. 32 (1974) 438 [INSPIRE].
H. Fritzsch and P. Minkowski, Unified interactions of leptons and hadrons, Annals Phys. 93 (1975) 193 [INSPIRE].
F. Gürsey, P. Ramond and P. Sikivie, A universal gauge theory model based on E 6, Phys. Lett. B 60 (1976) 177 [INSPIRE].
M. Malinský, J.C. Romão and J.W.F. Valle, Supersymmetric SO(10) seesaw mechanism with low B − L scale, Phys. Rev. Lett. 95 (2005) 161801 [hep-ph/0506296] [INSPIRE].
C. Arbeláez, R.M. Fonseca, M. Hirsch and J.C. Romão, Supersymmetric SO(10)-inspired GUTs with sliding scales, Phys. Rev. D 87 (2013) 075010 [arXiv:1301.6085] [INSPIRE].
V. De Romeri, M. Hirsch and M. Malinský, Soft masses in SUSY SO(10) GUTs with low intermediate scales, Phys. Rev. D 84 (2011) 053012 [arXiv:1107.3412] [INSPIRE].
L. Calibbi, M. Frigerio, S. Lavignac and A. Romanino, Flavour violation in supersymmetric SO(10) unification with a type-II seesaw mechanism, JHEP 12 (2009) 057 [arXiv:0910.0377] [INSPIRE].
L. Calibbi, L. Ferretti, A. Romanino and R. Ziegler, Gauge coupling unification, the GUT scale and magic fields, Phys. Lett. B 672 (2009) 152 [arXiv:0812.0342] [INSPIRE].
C. Biggio and L. Calibbi, Phenomenology of SUSY SU(5) with type-I+III seesaw, JHEP 10 (2010) 037 [arXiv:1007.3750] [INSPIRE].
C. Biggio, L. Calibbi, A. Masiero and S.K. Vempati, Postcards from oases in the desert: phenomenology of SUSY with intermediate scales, JHEP 08 (2012) 150 [arXiv:1205.6817] [INSPIRE].
M.R. Buckley and H. Murayama, How can we test seesaw experimentally?, Phys. Rev. Lett. 97 (2006) 231801 [hep-ph/0606088] [INSPIRE].
J.N. Esteves, S. Kaneko, J.C. Romão, M. Hirsch and W. Porod, Dark matter in minimal supergravity with type-II seesaw, Phys. Rev. D 80 (2009) 095003 [arXiv:0907.5090] [INSPIRE].
J.N. Esteves, J.C. Romão, M. Hirsch, F. Staub and W. Porod, Supersymmetric type-III seesaw: lepton flavour violating decays and dark matter, Phys. Rev. D 83 (2011) 013003 [arXiv:1010.6000] [INSPIRE].
J.N. Esteves et al., Dark matter and LHC phenomenology in a left-right supersymmetric model, JHEP 01 (2012) 095 [arXiv:1109.6478] [INSPIRE].
S.K. Majee, M.K. Parida, A. Raychaudhuri and U. Sarkar, Low intermediate scales for leptogenesis in SUSY SO(10) GUTs, Phys. Rev. D 75 (2007) 075003 [hep-ph/0701109] [INSPIRE].
F. Braam, J. Reuter and D. Wiesler, The Pati-Salam supersymmetric SM (PSSSM), AIP Conf. Proc. 1200 (2010) 458 [arXiv:0909.3081] [INSPIRE].
W. Kilian and J. Reuter, Unification without doublet-triplet splitting, Phys. Lett. B 642 (2006) 81 [hep-ph/0606277] [INSPIRE].
R. Howl and S.F. King, Planck scale unification in a supersymmetric standard model, Phys. Lett. B 652 (2007) 331 [arXiv:0705.0301] [INSPIRE].
P.S. Bhupal Dev and R.N. Mohapatra, TeV scale inverse seesaw in SO(10) and leptonic non-unitarity effects, Phys. Rev. D 81 (2010) 013001 [arXiv:0910.3924] [INSPIRE].
M. Lindner and M. Weiser, Gauge coupling unification in left-right symmetric models, Phys. Lett. B 383 (1996) 405 [hep-ph/9605353] [INSPIRE].
C. Arbeláez, M. Hirsch, M. Malinský and J.C. Romão, LHC-scale left-right symmetry and unification, Phys. Rev. D 89 (2014) 035002 [arXiv:1311.3228] [INSPIRE].
F. Siringo, Grand unification in the minimal left-right symmetric extension of the standard model, Phys. Part. Nucl. Lett. 10 (2013) 94 [arXiv:1208.3599] [INSPIRE].
C.S. Aulakh, B. Bajc, A. Melfo, A. Rasin and G. Senjanović, Intermediate scales in supersymmetric GUTs: the survival of the fittest, Phys. Lett. B 460 (1999) 325 [hep-ph/9904352] [INSPIRE].
C.S. Aulakh, B. Bajc, A. Melfo, A. Rasin and G. Senjanović, SO(10) theory of R-parity and neutrino mass, Nucl. Phys. B 597 (2001) 89 [hep-ph/0004031] [INSPIRE].
Particle Data Group collaboration, J. Beringer et al., Review of particle physics, Phys. Rev. D 86 (2012) 010001 [INSPIRE].
S. Weinberg, Baryon and lepton nonconserving processes, Phys. Rev. Lett. 43 (1979) 1566 [INSPIRE].
P. Minkowski, μ → eγ at a rate of one out of 1-billion muon decays?, Phys. Lett. B 67 (1977) 421 [INSPIRE].
H. Georgi, Towards a grand unified theory of flavor, Nucl. Phys. B 156 (1979) 126 [INSPIRE].
F. del Aguila and L.E. Ibáñez, Higgs bosons in SO(10) and partial unification, Nucl. Phys. B 177 (1981) 60 [INSPIRE].
R.N. Mohapatra and G. Senjanović, Higgs boson effects in grand unified theories, Phys. Rev. D 27 (1983) 1601 [INSPIRE].
S. Dimopoulos and H.M. Georgi, Extended survival hypothesis and fermion masses, Phys. Lett. B 140 (1984) 67 [INSPIRE].
C.S. Aulakh and R.N. Mohapatra, Implications of supersymmetric SO(10) grand unification, Phys. Rev. D 28 (1983) 217 [INSPIRE].
R. Slansky, Group theory for unified model building, Phys. Rept. 79 (1981) 1 [INSPIRE].
H.P. Nilles, Supersymmetry, supergravity and particle physics, Phys. Rept. 110 (1984) 1 [INSPIRE].
H.E. Haber and G.L. Kane, The search for supersymmetry: probing physics beyond the standard model, Phys. Rept. 117 (1985) 75 [INSPIRE].
J. Wess and B. Zumino, A Lagrangian model invariant under supergauge transformations, Phys. Lett. B 49 (1974) 52 [INSPIRE].
M.T. Grisaru, W. Siegel and M. Roček, Improved methods for supergraphs, Nucl. Phys. B 159 (1979) 429 [INSPIRE].
C.S. Aulakh, K. Benakli and G. Senjanović, Reconciling supersymmetry and left-right symmetry, Phys. Rev. Lett. 79 (1997) 2188 [hep-ph/9703434] [INSPIRE].
C.S. Aulakh, A. Melfo and G. Senjanović, Minimal supersymmetric left-right model, Phys. Rev. D 57 (1998) 4174 [hep-ph/9707256] [INSPIRE].
J.R. Ellis, J.F. Gunion, H.E. Haber, L. Roszkowski and F. Zwirner, Higgs bosons in a nonminimal supersymmetric model, Phys. Rev. D 39 (1989) 844 [INSPIRE].
H.P. Nilles, M. Srednicki and D. Wyler, Weak interaction breakdown induced by supergravity, Phys. Lett. B 120 (1983) 346 [INSPIRE].
R.N. Mohapatra and G. Senjanović, Neutrino mass and spontaneous parity violation, Phys. Rev. Lett. 44 (1980) 912 [INSPIRE].
M. Gell-Mann, P. Ramond and R. Slansky, Complex spinors and unified theories, Conf. Proc. C 790927 (1979) 315 [arXiv:1306.4669] [INSPIRE].
D.R.T. Jones, Two-loop β function for a G 1 × G 2 gauge theory, Phys. Rev. D 25 (1982) 581 [INSPIRE].
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Hartmann, F., Kilian, W. & Schnitter, K. Multiple scales in Pati-Salam unification models. J. High Energ. Phys. 2014, 64 (2014). https://doi.org/10.1007/JHEP05(2014)064
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DOI: https://doi.org/10.1007/JHEP05(2014)064