The Electroweak Supersymmetry (EWSUSY) from the GmSUGRA in the MSSM

Considering the Generalized Minimal Supergravity Model (GmSUGRA) in the Minimal Supersymmetric Standard Model (MSSM), we study the Electroweak Supersymmetry (EWSUSY), where the squarks and/or gluino are heavy around a few TeVs while the sleptons, sneutrinos, Bino, Winos, and/or Higgsinos are light within one TeV. We resolves the $(g_{\mu}-2)/2$ discrepancy for the muon anomalous magnetic moment in the Standard Model (SM) successfully and identifies a parameter space where such solutions also have the electroweak fine-tuning measures $\Delta_{EW}~16.5$ (6$\%$) and $\Delta_{EW}~25$ (4$\%$) without and with the WMAP bounds, respectively. We find that the allowed mass ranges consistent within 3$\sigma$ of the $g-2$ discrepancy for the lightest neutralino, charginos, stau, stau neutrinos, and first two-family sleptons are $[44,390]$ GeV, $[100,700]$ GeV, $[100,700]$, and $[52,700]$ GeV, respectively. Moreover, our solutions satisfy the latest bounds reported by the ATLAS and CMS Collaborations on electroweakinos and sleptons. The colored sparticles such as light stop, gluinos, and the first two-generation squark masses have been found in the mass ranges of $[500, 3000]$ GeV,[1300, 4300] GeV, and $[1800, 4200]$ GeV, respectively. To obtain the observed dark matter relic density for the Lightest Supersymmetric Particle (LSP) neutralino, we have the bino-wino, LSP neutralino-stau, and LSP neutralino-tau sneutrinos coannihilation scenarios, and the resonance solutions such as $A$-pole, Higgs-pole, and $Z$-pole. We identify the higgsino-like LSP neutralino and display its spin-independent and spin-dependent cross sections with nucleons. We present ten benchmark points which can be tested at the up coming collider searches as well.Comment: final version with 30 pages, 7 figures, 2 tables, Journal-ref: Phys. Rev. D 91, 055016 (2015

Particle Spectroscopy of Supersymmetric SO(10) with Non-Universal Gaugino Masses

We examine the low scale particle spectroscopy of an SO(10) (or equivalently SU(5)) inspired supersymmetric model with non-universal gaugino masses. The model assumes minimal supergravity and contains the same number of fundamental parameters as the constrained minimal supersymmetric model (CMSSM.) Realistic solutions compatible with dark matter and other applicable experimental constraints are shown to exist for both positive and negative signs of the MSSM parameter mu. We present several benchmark points which will be tested at the LHC and by the ongoing direct and indirect dark matter detection experiments.Comment: 18 pages,10 figures, 9 table

Top Quark and Higgs Boson Masses in Supersymmetric Models

We study the implications for bounds on the top quark pole mass m_t in models with low scale supersymmetry following the discovery of the Standard Model-like Higgs boson. In the minimal supersymmetric standard model, we find that m_t >= 164 GeV, if the light CP even Higgs boson mass m_h = 125 +-2 GeV. We also explore the top quark and Higgs boson masses in two classes of supersymmetric SO(10) models with t-b-tau Yukawa coupling unification at M_GUT. In particular, assuming SO(10) compatible non-universal gaugino masses, setting m_h = 125 GeV and requiring 5% or better Yukawa unification, we obtain the result 172 GeV <= m_t <= 175 GeV. Conversely, demanding 5% or better t-b-tau Yukawa unification and setting m_t=173.2 GeV, the Higgs boson mass is predicted to lie in the range 122 GeV <= m_h <= 126 GeV.Comment: 16 pages, 7 figure

Probing the Supersymmetric Grand Unified Theories with Gravity Mediation at the Future Proton-Proton Colliders and Hyper-Kamiokande Experiment

With the grand desert hypothesis, we have proposed to probe the supersymmetric Grand Unified Theories (GUTs) at the future proton-proton (pp) colliders and Hyper-Kamiokande experiment previously. In this paper, we study the supersymmetric GUTs with gravity mediated supersymmetry breaking in details. First, considering the dimension-six proton decay via heavy gauge boson exchange, we point out that we can probe the supersymmetric GUTs with GUT scale $M_{GUT}$ up to $1.778\times 10^{16}$ GeV at the Hyper-Kamiokande experiment. Second, for the supersymmetric GUTs with $M_{GUT} \ge 1.0\times 10^{16}$ GeV and $M_{GUT} \ge 1.2\times 10^{16}$ GeV, we show that the upper bounds on the universal gaugino mass are $7.2$ TeV and 3.5 TeV, respectively, and thus the corresponding upper bounds on gluino mass are 15 TeV and 8 TeV, respectively. Also, we shall study the masses for charginos, neutralinos, squarks, sleptons, and Higgs particles in details. In particular, the supersymmetric GUTs with $M_{GUT} \leq 1.2\times 10^{16}$ GeV can be probed at the Hyper-Kamiokande experiment, and the supersymmetric GUTs with $M_{GUT}\ge 1.2\times 10^{16}$ GeV can be probed at the future 100 TeV pp collider experiments such as the ${\rm FCC}_{\rm hh}$ and SppC via gluino searches. Thus, the supersymmetric GUTs with gravity mediation can be probed by the ${\rm FCC}_{\rm hh}$, SppC, and Hyper-Kamiokande experiments. In our previous study, we have shown that the supersymmetric GUTs with anomaly and gauge mediated supersymmetry breakings are well within the reaches of these experiments. Therefore, our proposal provides the concrete scientific goal for the ${\rm FCC}_{\rm hh}$, SppC, and Hyper-Kamiokande experiments: probing the supersymmetric GUTs.Comment: 10 pages, 4 figures, 1 tabl