Higgs boson, sparticle masses and neutralino dark matter in Yukawa unified models
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- Tez No: 401610
- Danışmanlar: DR. QAISAR SHAFI
- Tez Türü: Doktora
- Konular: Fizik ve Fizik Mühendisliği, Physics and Physics Engineering
- Anahtar Kelimeler: Belirtilmemiş.
- Yıl: 2013
- Dil: İngilizce
- Üniversite: University of Delaware
- Enstitü: Yurtdışı Enstitü
- Ana Bilim Dalı: Belirtilmemiş.
- Bilim Dalı: Belirtilmemiş.
- Sayfa Sayısı: 113
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Özet (Çeviri)
This dissertation collects our results that we obtaln for a class of Yukawa unl-fied S0(10) grand unlfied theorles with non-unlversal soft supersymmetry breaklng (SSB) gauglno mass parameters. As known for a long time, in contrast to its non-supersymmetrlcal verslon, S0(10) grand unlfied theorles predlct Yukawa coupllng unl-fication as well as gauge coupllng and matter field unlficatlons. The models consldered in this thesis are assumed to be in the framework of gravlty medlated supersymmetry breaklng, and boundary conditions among the SSB terms are set by the group theoretical structure and breaklng patterns of S0(10) at the grand unification scale (Mgut). In addition, we assume universality in the SSB mass terms asslgned to the sfermlon generatlons. Slnce Yukawa coupllng unlficatlon lmplles contradlctory mass relatlons for the first two generatlons, we conslder a model with a larger Hlggs sector. In this case, we assume that the MSSM Hlggs doublets solely reslde in 10 dimensional representatlon (10H) of S0(10) and extra Hlggs fields negligibly couple to the thlrd generatlon sfermlons in order to maintain Yukawa coupllng unification for the thlrd generatlon (when we mentlon Yukawa unification throughout this thesis, we mean Yukawa unification for the thlrd famlly, a.k.a. t — b — t Yukawa unification). First we conslder a supersymmetrlc grand unlfied model in which S0(10) breaks into the MSSM vla non-renormallzable dimension-5 operators involving non-slnglet F—terms. In our case, we conslder an F—term belonglng to 54 dimensional representatlon of S0(10) and it develops a non-zero vacuum expectation value that non-trivially generates the SSB gauglno masses such that M1 : M2 : M3 = — 1 : —3:2. We conslder the case with Mı, M2 > 0 and M3 < 0 such that ^M2 > 0 and ^M3 < 0 always hold. This model with non-unlversal and relative-sign gauglno masses has one less parameter by settlng the masses of Hlggs doublets to be equivalent to each other at MGUT than those in the standard approach to Yukawa coupling unification. We briefly show also that Yukawa unification is possible even with one less parameter, if one considers a case in which all scalars of the MSSM including the Higgs doublets are assigned with the same SSB mass term. Yukawa unification in this model can occur for relatively small values of the SSB mass term assigned to sfermions (m\6 ~ 1.5 — 2 TeV). We find that this model predicts a heavy spectrum especially for color sparticles (> 3 TeV). Also it allows only a stau-neutralino coannihilation channel that reduces the relic abundance of neutralino over the parameter space to its desired value (Qh2 < 1). The model also bounds masses of staus and neutralinos, which are rather light compared to the others, such that mT ~ m^o > 600 GeV. Moreover, almost perfect Yukawa unification yields a sharp prediction for the SM-like Higgs boson mass (mh ~ 124 GeV), even if one does not apply any constraint for the SM-like Higgs boson. We also present the results for Dark Matter (DM) scattering with nucleons along with current and future bounds of direct detection experiments. A set of benchmark points are listed to exemplify our results and they hopefully will be tested in the Large Hadron Collider (LHC), in direct and indirect DM experiments. In the case of relative-sign SSB mass terms, the gaugino mass relation forms a subspace of SU(4)c x SU(2)L x SU(2)R (4-2-2). Even though 4-2-2 does not require gauge coupling unification, if one assumes that 4-2-2 breaks into the MSSM at an energy scale ~ MGUT, then it can hold gauge coupling unification as well as Yukawa unification. As a generalization of the previous model, 4-2-2 results in a heavy spectrum for the color particles (~ 3 TeV ) as well. On the other hand, it predicts bino-wino coannihilation and A-resonance solutions, in addition to stau-neutralino coannihilation, and it improves the results in relic abundance of neutralino. Also, it predicts the SM-like Higgs boson mass in a relatively narrow range of 122-126 GeV, consistent with the experimental results, if one searches for a perfect Yukawa unification. Besides, 4-2-2 has some results for the DM scattering with nucleons that can be tested in future direct detection experiments and can either be confirmed or excluded.We conclude this thesis by considering the anomalous magnetic moment of muon (muon g — 2). First, we examine the conditions that are necessary in order to be consis-tent with the experimental measurements. Since the supersymmetric contribution to muon g — 2 evolves as 1/M, where M is mass of the sparticle running in the loop, the MSSM needs to have light smuons and gauginos (bino and wino), while the 125 GeV Higgs boson requires heavier spectra. In order to resolve this conflict, we consider a case in which the first two generations of sfermions are split from the third generation in their SSB mass. Similarly the MSSM Higgs doublets have different masses from each other, while universality in gaugino masses is held. We show that our results can simultaneously be consistent with 125 GeV Higgs boson and muon g — 2 within 1a deviation from its theoretical value. Besides the Higgs boson mass, this model predicts masses for gluino and squarks of the first two generations in the range 1-2 TeV. While the solutions consistent with muon g — 2 in 1a require tan fi > 14, the mass bounds on gluino (mg ~ 1.4 TeV, if mq ~ mg) can exclude the region with tan fi < 30. We also find solutions for a variety of coannihilation scenarios such as smuon-neutralino, muon sneutrino-neutralino and stau-neutralino coannihilation channels that make the relic abundance of neutralino consistent with the WMAP bound even with 2a uncertainty. Then we discuss possibilities for future work that consider whether Yukawa unification can be consistent with both 125 GeV Higgs boson and muon g — 2 within 1a deviation from its theoretical value.
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