Abstract
We show that in the CMSSM with the non-holomorphic soft SUSY breaking terms, the Yukawa coupling unification of the third family fermions at the GUT scale, called t − b − τ Yukawa unification (YU), is possible under the recent collider and Dark Matter results. The YU parameter can also be found Rtbτ ≈ 1, called perfect unification. We find that the squark masses exceed 3 TeV while the stau can be considerably lighter. In the case of YU, the tan β is in the interval [46, 55]. We obtain bino-like dark matter (DM) of mass in the range of 0.6 TeV ≲ \( {m}_{\upchi_1^0} \) ≲ 1.3 TeV where the recent Dark Matter direct detection limits are also satisfied. We also identify A-resonance solutions which reduce the relic abundance of LSP neutralino down to the ranges compatible with the current Planck measurements.
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R. Barbieri and G.F. Giudice, Upper Bounds on Supersymmetric Particle Masses, Nucl. Phys. B 306 (1988) 63 [INSPIRE].
H. Georgi and S.L. Glashow, Unity of All Elementary Particle Forces, Phys. Rev. Lett. 32 (1974) 438 [INSPIRE].
P.W. Higgs, Broken Symmetries and the Masses of Gauge Bosons, Phys. Rev. Lett. 13 (1964) 508 [INSPIRE].
F. Englert and R. Brout, Broken Symmetry and the Mass of Gauge Vector Mesons, Phys. Rev. Lett. 13 (1964) 321 [INSPIRE].
ATLAS collaboration, Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC, Phys. Lett. B 716 (2012) 1 [arXiv:1207.7214] [INSPIRE].
CMS collaboration, Observation of a New Boson with Mass Near 125 GeV in pp Collisions at \( \sqrt{s} \) = 7 and 8 TeV, JHEP 06 (2013) 081 [arXiv:1303.4571] [INSPIRE].
Heavy Flavor Averaging Group collaboration, Averages of B-Hadron, C-Hadron, and τ-lepton properties as of early 2012, arXiv:1207.1158 [INSPIRE].
LHCb collaboration, First Evidence for the Decay \( {B}_s^0 \) → μ+ μ−, Phys. Rev. Lett. 110 (2013) 021801 [arXiv:1211.2674] [INSPIRE].
Planck collaboration, Planck 2018 results. VI. Cosmological parameters, Astron. Astrophys. 641 (2020) A6 [arXiv:1807.06209] [INSPIRE].
L. Roszkowski, E.M. Sessolo and A.J. Williams, What next for the CMSSM and the NUHM: Improved prospects for superpartner and dark matter detection, JHEP 08 (2014) 067 [arXiv:1405.4289] [INSPIRE].
Y. Hiçyılmaz, L. Selbuz, L. Solmaz and C.S. Ün, Charged Higgs boson in MSSM and beyond, Phys. Rev. D 97 (2018) 115041 [arXiv:1711.07967] [INSPIRE].
M. Frank, Y. Hiçyılmaz, S. Moretti and O. Özdal, E6 motivated UMSSM confronts experimental data, JHEP 05 (2020) 123 [arXiv:2004.01415] [INSPIRE].
W. Ahmed, S. Raza, Q. Shafi, C.S. Un and B. Zhu, Sparticle spectroscopy and dark matter in a U(1)B−L extension of MSSM, JHEP 01 (2021) 161 [arXiv:2008.01568] [INSPIRE].
C.S. Ün, c.H. Tanyıldızı, S. Kerman and L. Solmaz, Generalized Soft Breaking Leverage for the MSSM, Phys. Rev. D 91 (2015) 105033 [arXiv:1412.1440] [INSPIRE].
J.D. Lykken, Introduction to supersymmetry, in Theoretical Advanced Study Institute in Elementary Particle Physics (TASI 96): Fields, Strings and Duality, (1996) [hep-th/9612114] [INSPIRE].
S.P. Martin, A Supersymmetry primer, Adv. Ser. Direct. High Energy Phys. 21 (2010) 1 [hep-ph/9709356] [INSPIRE].
D.J.H. Chung, L.L. Everett, G.L. Kane, S.F. King, J.D. Lykken and L.-T. Wang, The Soft supersymmetry breaking Lagrangian: Theory and applications, Phys. Rept. 407 (2005) 1 [hep-ph/0312378] [INSPIRE].
I. Jack and D.R.T. Jones, Nonstandard soft supersymmetry breaking, Phys. Lett. B 457 (1999) 101 [hep-ph/9903365] [INSPIRE].
S.P. Martin, Dimensionless supersymmetry breaking couplings, flat directions and the origin of intermediate mass scales, Phys. Rev. D 61 (2000) 035004 [hep-ph/9907550] [INSPIRE].
I. Jack and D.R.T. Jones, Quasiinfrared fixed points and renormalization group invariant trajectories for nonholomorphic soft supersymmetry breaking, Phys. Rev. D 61 (2000) 095002 [hep-ph/9909570] [INSPIRE].
U. Chattopadhyay and A. Dey, Probing Non-holomorphic MSSM via precision constraints, dark matter and LHC data, JHEP 10 (2016) 027 [arXiv:1604.06367] [INSPIRE].
G.G. Ross, K. Schmidt-Hoberg and F. Staub, On the MSSM Higgsino mass and fine tuning, Phys. Lett. B 759 (2016) 110 [arXiv:1603.09347] [INSPIRE].
G.G. Ross, K. Schmidt-Hoberg and F. Staub, Revisiting fine-tuning in the MSSM, JHEP 03 (2017) 021 [arXiv:1701.03480] [INSPIRE].
U. Chattopadhyay, D. Das and S. Mukherjee, Exploring Non-Holomorphic Soft Terms in the Framework of Gauge Mediated Supersymmetry Breaking, JHEP 01 (2018) 158 [arXiv:1710.10120] [INSPIRE].
B. Ananthanarayan, G. Lazarides and Q. Shafi, Top mass prediction from supersymmetric guts, Phys. Rev. D 44 (1991) 1613 [INSPIRE].
Q. Shafi and B. Ananthanarayan, Will LEP-2 narrowly miss the Weinberg-Salam Higgs boson?, in Summer School in High-energy Physics and Cosmology, 6 (1991) 233.
H. Baer, S. Kraml, S. Sekmen and H. Summy, Dark matter allowed scenarios for Yukawa-unified SO(10) SUSY GUTs, JHEP 03 (2008) 056 [arXiv:0801.1831] [INSPIRE].
H. Baer, M. Haider, S. Kraml, S. Sekmen and H. Summy, Cosmological consequences of Yukawa-unified SUSY with mixed axion/axino cold and warm dark matter, JCAP 02 (2009) 002 [arXiv:0812.2693] [INSPIRE].
I. Gogoladze, R. Khalid and Q. Shafi, Yukawa Unification and Neutralino Dark Matter in SU(4)(c) × SU(2)(L) × SU(2)(R), Phys. Rev. D 79 (2009) 115004 [arXiv:0903.5204] [INSPIRE].
M. Olechowski and S. Pokorski, Electroweak symmetry breaking with nonuniversal scalar soft terms and large tan β solutions, Phys. Lett. B 344 (1995) 201 [hep-ph/9407404] [INSPIRE].
D. Matalliotakis and H.P. Nilles, Implications of nonuniversality of soft terms in supersymmetric grand unified theories, Nucl. Phys. B 435 (1995) 115 [hep-ph/9407251] [INSPIRE].
H. Murayama, M. Olechowski and S. Pokorski, Viable t − b − τ Yukawa unification in SUSY SO(10), Phys. Lett. B 371 (1996) 57 [hep-ph/9510327] [INSPIRE].
I. Gogoladze, Q. Shafi and C.S. Un, Higgs Boson Mass from t − b − τ Yukawa Unification, JHEP 08 (2012) 028 [arXiv:1112.2206] [INSPIRE].
C.F. Kolda and S.P. Martin, Low-energy supersymmetry with D term contributions to scalar masses, Phys. Rev. D 53 (1996) 3871 [hep-ph/9503445] [INSPIRE].
I. Gogoladze, R. Khalid and Q. Shafi, Coannihilation Scenarios and Particle Spectroscopy in SU(4)(c) × SU(2)(L) × SU(2)(R), Phys. Rev. D 80 (2009) 095016 [arXiv:0908.0731] [INSPIRE].
U. Chattopadhyay, A. Datta, S. Mukherjee and A.K. Swain, Sbottoms as probes to MSSM with nonholomorphic soft interactions, JHEP 10 (2018) 202 [arXiv:1809.05438] [INSPIRE].
S. Chakraborty and T.S. Roy, Radiatively generated source of flavor universal scalar soft masses, Phys. Rev. D 100 (2019) 035020 [arXiv:1904.10144] [INSPIRE].
L. Girardello and M.T. Grisaru, Soft Breaking of Supersymmetry, Nucl. Phys. B 194 (1982) 65 [INSPIRE].
H.E. Haber and J.D. Mason, Hard supersymmetry-breaking ‘wrong-Higgs’ couplings of the MSSM, Phys. Rev. D 77 (2008) 115011 [arXiv:0711.2890] [INSPIRE].
J.P.J. Hetherington, The Spectrum of the MSSM with nonstandard supersymmetry breaking, JHEP 10 (2001) 024 [hep-ph/0108206] [INSPIRE].
ATLAS and CMS collaborations, Combined Measurement of the Higgs Boson Mass in pp Collisions at \( \sqrt{s} \) = 7 and 8 TeV with the ATLAS and CMS Experiments, Phys. Rev. Lett. 114 (2015) 191803 [arXiv:1503.07589] [INSPIRE].
CMS collaboration, Observation of a New Boson at a Mass of 125 GeV with the CMS Experiment at the LHC, Phys. Lett. B 716 (2012) 30 [arXiv:1207.7235] [INSPIRE].
A. Djouadi, The Anatomy of electro-weak symmetry breaking. II. The Higgs bosons in the minimal supersymmetric model, Phys. Rept. 459 (2008) 1 [hep-ph/0503173] [INSPIRE].
W. Hollik and S. Paßehr, Two-loop top-Yukawa-coupling corrections to the Higgs boson masses in the complex MSSM, Phys. Lett. B 733 (2014) 144 [arXiv:1401.8275] [INSPIRE].
L.J. Hall, R. Rattazzi and U. Sarid, The Top quark mass in supersymmetric SO(10) unification, Phys. Rev. D 50 (1994) 7048 [hep-ph/9306309] [INSPIRE].
R. Hempfling, Yukawa coupling unification with supersymmetric threshold corrections, Phys. Rev. D 49 (1994) 6168 [INSPIRE].
D.M. Pierce, J.A. Bagger, K.T. Matchev and R.-j. Zhang, Precision corrections in the minimal supersymmetric standard model, Nucl. Phys. B 491 (1997) 3 [hep-ph/9606211] [INSPIRE].
I. Gogoladze, R. Khalid, S. Raza and Q. Shafi, t − b − τ Yukawa unification for μ < 0 with a sub-TeV sparticle spectrum, JHEP 12 (2010) 055 [arXiv:1008.2765] [INSPIRE].
M. Badziak, M. Olechowski and S. Pokorski, Yukawa unification in SO(10) with light sparticle spectrum, JHEP 08 (2011) 147 [arXiv:1107.2764] [INSPIRE].
M. Badziak, M. Olechowski and S. Pokorski, Light staus and enhanced Higgs diphoton rate with non-universal gaugino masses and SO(10) Yukawa unification, JHEP 10 (2013) 088 [arXiv:1307.7999] [INSPIRE].
H. Baer, S. Kraml and S. Sekmen, Is ‘just-so’ Higgs splitting needed for t − b − τ Yukawa unified SUSY GUTs?, JHEP 09 (2009) 005 [arXiv:0908.0134] [INSPIRE].
W. Porod, SPheno, a program for calculating supersymmetric spectra, SUSY particle decays and SUSY particle production at e+e− colliders, Comput. Phys. Commun. 153 (2003) 275 [hep-ph/0301101] [INSPIRE].
F. Staub, SARAH, arXiv:0806.0538 [INSPIRE].
J. Hisano, H. Murayama and T. Yanagida, Nucleon decay in the minimal supersymmetric SU(5) grand unification, Nucl. Phys. B 402 (1993) 46 [hep-ph/9207279] [INSPIRE].
G. Bélanger, F. Boudjema, A. Pukhov and R.K. Singh, Constraining the MSSM with universal gaugino masses and implication for searches at the LHC, JHEP 11 (2009) 026 [arXiv:0906.5048] [INSPIRE].
Particle Data Group collaboration, Review of Particle Physics, Phys. Rev. D 98 (2018) 030001 [INSPIRE].
Heavy Flavor Averaging Group collaboration, Averages of b-hadron, c-hadron and τ-lepton properties, arXiv:1010.1589 [INSPIRE].
G. Bélanger, F. Boudjema, A. Goudelis, A. Pukhov and B. Zaldivar, MicrOMEGAs5.0: Freeze-in, Comput. Phys. Commun. 231 (2018) 173 [arXiv:1801.03509] [INSPIRE].
J. Beuria and A. Dey, Exploring Charge and Color Breaking vacuum in Non-Holomorphic MSSM, JHEP 10 (2017) 154 [arXiv:1708.08361] [INSPIRE].
H. Baer, S. Raza and Q. Shafi, A heavier gluino from t − b − τ Yukawa-unified SUSY, Phys. Lett. B 712 (2012) 250 [arXiv:1201.5668] [INSPIRE].
T. Cohen et al., SUSY Simplified Models at 14, 33 and 100 TeV Proton Colliders, JHEP 04 (2014) 117 [arXiv:1311.6480] [INSPIRE].
CMS collaboration, Search for electroweak production of charginos and neutralinos in multilepton final states in proton-proton collisions at \( \sqrt{s} \) = 13 TeV, JHEP 03 (2018) 166 [arXiv:1709.05406] [INSPIRE].
XENON collaboration, Dark Matter Search Results from a One Ton-Year Exposure of XENON1T, Phys. Rev. Lett. 121 (2018) 111302 [arXiv:1805.12562] [INSPIRE].
PandaX-II collaboration, Dark Matter Results From 54-Ton-Day Exposure of PandaX-II Experiment, Phys. Rev. Lett. 119 (2017) 181302 [arXiv:1708.06917] [INSPIRE].
LUX collaboration, Results from a search for dark matter in the complete LUX exposure, Phys. Rev. Lett. 118 (2017) 021303 [arXiv:1608.07648] [INSPIRE].
DARWIN collaboration, DARWIN: towards the ultimate dark matter detector, JCAP 11(2016) 017 [arXiv:1606.07001] [INSPIRE].
XENON collaboration, Constraining the spin-dependent WIMP-nucleon cross sections with XENON1T, Phys. Rev. Lett. 122 (2019) 141301 [arXiv:1902.03234] [INSPIRE].
PandaX-II collaboration, PandaX-II Constraints on Spin-Dependent WIMP-Nucleon Effective Interactions, Phys. Lett. B 792 (2019) 193 [arXiv:1807.01936] [INSPIRE].
LUX collaboration, Limits on spin-dependent WIMP-nucleon cross section obtained from the complete LUX exposure, Phys. Rev. Lett. 118 (2017) 251302 [arXiv:1705.03380] [INSPIRE].
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Hiçyılmaz, Y. t − b − τ Yukawa unification in non-holomorphic MSSM. J. High Energ. Phys. 2021, 218 (2021). https://doi.org/10.1007/JHEP04(2021)218
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DOI: https://doi.org/10.1007/JHEP04(2021)218