A constrained supersymmetric left-right model

Hirsch, Martin; Staub, Florian; Opferkuch, Toby; Krauss, Manuel E.; Porod, Werner

doi:10.1007/JHEP03(2016)009

Article
Report number	arXiv:1512.00472 ; BONN-TH-2015-13 ; CERN-PH-TH-2015-279 ; IFIC-15-91 ; BONN-TH-2015-13 ; CERN-PH-TH-2015-279 ; IFIC-15-91
Title	A constrained supersymmetric left-right model
Author(s)	Hirsch, Martin (Valencia U., IFIC) ; Krauss, Manuel E. (Bonn U. ; Wurzburg U.) ; Opferkuch, Toby (Bonn U.) ; Porod, Werner (Wurzburg U.) ; Staub, Florian (CERN)
Publication	2016-03-02
Imprint	01 Dec 2015
Number of pages	22
Note	21 pages, 5 figures; v2: references added, matches published version
In:	JHEP 03 (2016) 009
DOI	10.1007/JHEP03(2016)009
Subject category	Particle Physics - Phenomenology
Abstract	We present a supersymmetric left-right model which predicts gauge coupling unification close to the string scale and extra vector bosons at the TeV scale. The subtleties in constructing a model which is in agreement with the measured quark masses and mixing for such a low left-right breaking scale are discussed. It is shown that in the constrained version of this model radiative breaking of the gauge symmetries is possible and a SM-like Higgs is obtained. Additional CP-even scalars of a similar mass or even much lighter are possible. The expected mass hierarchies for the supersymmetric states differ clearly from those of the constrained MSSM. In particular, the lightest down-type squark, which is a mixture of the sbottom and extra vector-like states, is always lighter than the stop. We also comment on the model's capability to explain current anomalies observed at the LHC.
Copyright/License	arXiv nonexclusive-distrib. 1.0 publication: © 2016-2025 The Author(s) (License: CC-BY-4.0), sponsored by SCOAP³ preprint: © 2015-2025 CERN (License: CC-BY-4.0)

$Running of the gauge couplings at one-loop (dashed lines) and two-loop (solid lines) in the left-right phase of the model. The two-loop results includes the one-loop threshold corrections arising at both the electroweak and SUSY scales. Additionally the running of the couplings is shown from the SUSY scale rather than the $SU(2)_R$ breaking scale $v_R$. In this figure the GUT normalised $g_{BL}$ is plotted. The normalisation is given by $g_{BL}=\sqrt{\frac{3}{2}} g_{BL}^{\text{GUT}}$. The parameters for the two-loop running are $\tanbeta=5$, $\tanbetau=6.5$, $\tanbetaR=0.85$, $m_0=\SI{1.5}{\TeV}$, $M_{1/2}=\SI{750}{\GeV}$, $A_0=\SI{1}{\TeV}$, $Y_{\delta_d}^i=0.15$ and $v_R=6~$TeV.$ $Illustration of the constraints on the parameter space arising through the requirement of consistent solutions of the tadpole equations. The figures show contours of the $\mu_{\chi_c}^2$ values as function of either, $Y_{\delta_d}$ and $\tanbetaR$ (left) or $m_0$ and $\tanbetaR$ (right). Here, we have chosen the couplings $Y_S$ and $Y_\psi$ to be zero in order to reduce the dimensionality of the parameter space, for a detailed discussion of the effect of these parameters see the text. The red contour corresponds to where $\mu_{\chi_c}^2=0$, therefore the parameter space underneath this contour is excluded as $\mu_{\chi_c}^2<0$ in this region. The parameter values chosen correspond to left: $v_R= \SI{7}{\TeV}$, $m_0=\SI{750}{\GeV}$ and right: $v_R=\SI{7}{\TeV}$, $Y_{\delta_d}=0.25$. Other parameter values are, $\tanbeta =10$, $A_0=\SI{500}{\GeV}$ and $M_{1/2}=\SI{1}{\TeV}$.$ $Masses of the two lightest Higgs states as a function of $\tan \beta_R$. The results are shown at the tree level (dotted) as well as at the one/two loop level (dashed/solid lines). The grey band depicts the approximate mass required for a SM-like Higgs. The remaining parameters have been fixed to $m_0=M_{1/2}=\SI{1.2}{\TeV}$, $A_0 =\SI{1}{\TeV}$, $\mu_\Phi^{(2,2)}=-\SI{2}{\TeV}$, $v_R=\SI{7}{\TeV}$, $\tanbeta=15$, $\tanbetau=10$, $M_\delta=\SI{1}{\TeV}$, $Y_{\delta_d}^i=0.09$.$ Show more plots

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Record creato 2015-12-03, modificato l'ultima volta il 2022-08-10

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