Effects of SO(10) D-Term on Yukawa Unification and Unstable Minima of the Supersymmetric Scalar Potential

dc.creatorDatta, Amitava
dc.creatorSamanta, Abhijit
dc.date2001-08-06
dc.date2003-11-22
dc.date.accessioned2026-07-07T10:52:22Z
dc.date.available2026-07-07T10:52:22Z
dc.descriptionWe study the effects of SO(10) D-terms on the allowed parameter space (APS) in models with $t - b - τ$ and $b - τ$ Yukawa unifiction. The former is allowed only for moderate values of the D-term, if very precise ($\le$ 5%) unification is required. Next we constrain the parameter space by looking for different dangerous directions where the scalar potential may be unbounded from below (UFB1 and UFB3). The common trilinear coupling $A_0$ plays a significant role in constraing the APS. For very precise $t - b - τ$ Yukawa unification, $-m_{16} < or \approx A_0 < or \approx m_{16}$ can be probed at the LHC, where $m_{16}$ is the common soft breaking mass for the sfermions. Moreover, an interesting mass hierarchy with very heavy sfermions but light gauginos, which is strongly disfavoured in models without D-terms, becomes fairly common in the presence of the D-terms. The APS exhibits interesting characteristics if $m_{16}$ is not the same as the soft breaking mass $m_{10}$ for the Higgs sector. In $b - τ$ unification models with D-terms, the APS consistent with Yukawa unification and radiative electroweak symmetry breaking, increases as the UFB1 constraint becomes weaker. However for $A_0 \leq 0$, a stronger UFB3 condition still puts, for a given $m_{16}$, a stringent upper bound on the common gaugino mass ($m_{1/2}$) and a lower bound on $m_{16}$ for a given $m_{1/2}$. The effects of sign of $μ$ on Yukawa unification and UFB constraints are also discussed.
dc.descriptionPlain Latex, 22 pages, 11 figures. Small changes in the abstract, the pattern of discussion changed signifiantly, no change in the figures and results, a few new references added, version published in JPG
dc.identifierhttps://arxiv.org/abs/hep-ph/0108056
dc.identifierhttp://arxiv.org/abs/hep-ph/0108056
dc.identifierJ.Phys.G29:2721-2735,2003
dc.identifierdoi:10.1088/0954-3899/29/12/004
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/185139
dc.subjectHigh Energy Physics - Phenomenology
dc.titleEffects of SO(10) D-Term on Yukawa Unification and Unstable Minima of the Supersymmetric Scalar Potential
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