Exploring charge and color breaking vacuum in non-holomorphic MSSM

Abstract

Non-Holomorphic MSSM (NHSSM) shows various promising features that are not easily obtained in MSSM. However, the additional Non-Holomorphic (NH) trilinear interactions that attribute to the interesting phenomenological features, also modify the effective scalar potential of the model significantly. We derive analytic constraints involving trilinear parameters A t and A b that exclude global charge and color breaking minima (CCB). Since the analytic constraints are obtained considering specific directions in the multi-dimensional field space, we further probe the applicability of these constraints by exhaustive scan over NH parameter space with two different regimes of tan β and delineate the nature of metastability by considering vacuum expectation values for third generation squarks. We adhere to a natural scenario by fixing Higgsino mass parameter (µ) to a low value and estimate the allowed ranges of NH trilinear parameters by considering vacuum stability and observed properties of Higgs as the determining criteria.

Sbottoms as probes to MSSM with nonholomorphic soft interactions

“…These used renormalization group (RG) evolutions of various input parameters to the weak scale for studying the SUSY spectra, impact on the Higgs boson mass, involved fine-tuning, various phenomenological observables in rare B-decays (viz., BR(B → X s +γ), BR(B s → µ + µ − )), issues pertaining to the dark matter, CP-violating effects etc. Analyses that were inspired by the so-called phenomenological MSSM (pMSSM)-like setup [45] (where the input values of the soft SUSY breaking parameters are provided at the electroweak scale instead) are presented in [46,47]. The first of these two works [46] demonstrated the enhancement of muon g−2 in models that involve NH terms.…”

“…The first of these two works [46] demonstrated the enhancement of muon g−2 in models that involve NH terms. The latter one [47] made a detailed study on the Charge and Color Breaking (CCB) vacua while including appropriate NH soft breaking terms. It is noted that in a formulation of hidden sector F -type SUSY breaking, such NH terms may be suppressed by the scale of mediation [32].…”

Exploring non-holomorphic soft terms in the framework of gauge mediated supersymmetry breaking

“…The authors of refs. [70,82] performed phenomenological MSSM (pMSSM) type of analysis where all the soft parameters including the NH ones are provided at the weak scale. These were away from previous works that used mostly CMSSM inspired setup where in addition to the usual CMSSM inputs corresponding to the gauge coupling unification scale, the NH soft parameters were either given a) at the unification scale or b) at the electroweak scale.…”

“…Staying within an MSSM setup terms like φ 2 φ * or a higgsino mass term like ψψ can be soft SUSY breaking in nature if there is no presence of a gauge singlet field [71]. There have been several works over the past two decades [69][70][71][72][73][74][75][76][77][78][79][80][81][82] that analyzed the effects of introducing NH soft terms. 2 There are three distinct signatures i) the trilinear NH terms may enhance L-R mixing thus influencing various phenomenologies, ii) higgsinos get an additional soft-term source, iii) the Higgs potential remains unaffected at the tree level thus electroweak fine-tuning may hardly change.…”

“…The latter effect can give rise to a valid higgsino dark matter with low fine-tuning, whereas the L-R mixing effect may contribute to (g − 2) µ , Br(B → X s + γ), or the higgs mass radiative corrections [69,70,[78][79][80][81]. The NH soft terms can also influence on the scalar potential terms involving colored/charged scalars [82]. Thus, there are associated charge and color breaking (CCB) minima constraints that one must take care of in the limiting cases of large trilinear NH couplings.…”