Relating the CMSSM and SUGRA models with GUT scale and Super-GUT scale Supersymmetry Breaking

Dudas, Emilian; Olive, Keith A.; Mustafayev, Azar; Mambrini, Yann

doi:10.1140/epjc/s10052-012-2138-3

Article
Report number	UMN-TH-3103-12 ; FTPI-MINN-12-17 ; LPT-ORSAY-12-49 ; arXiv:1205.5988 ; UMN--TH--3103-12 ; FTPI--MINN--12-17 ; LPT--ORSAY-12-49
Title	Relating the CMSSM and SUGRA models with GUT scale and Super-GUT scale Supersymmetry Breaking
Author(s)	Dudas, Emilian (Orsay, LPT ; Ecole Polytechnique, CPHT ; CERN) ; Mambrini, Yann (Orsay, LPT) ; Mustafayev, Azar (Minnesota U., Theor. Phys. Inst.) ; Olive, Keith A. (Minnesota U., Theor. Phys. Inst.)
Publication	2012
Imprint	29 May 2012
Number of pages	16
Note	Comments: 16 pages, 11 figures 16 pages, 11 figures; added erratum correcting several equations and results in Sec.2, Sec.3 and 4 remain unaffected and conclusions unchanged
In:	Eur. Phys. J. C 72 (2012) pp.2138
DOI	10.1140/epjc/s10052-012-2138-3 10.1140/epjc/s10052-013-2430-x
Subject category	Particle Physics - Phenomenology
Abstract	While the constrained minimal supersymmetric standard model (CMSSM) with universal gaugino masses, $m_{1/2}$, scalar masses, $m_0$, and A-terms, $A_0$, defined at some high energy scale (usually taken to be the GUT scale) is motivated by general features of supergravity models, it does not carry all of the constraints imposed by minimal supergravity (mSUGRA). In particular, the CMSSM does not impose a relation between the trilinear and bilinear soft supersymmetry breaking terms, $B_0 = A_0 - m_0$, nor does it impose the relation between the soft scalar masses and the gravitino mass, $m_0 = m_{3/2}$. As a consequence, $\tan \beta$ is computed given values of the other CMSSM input parameters. By considering a Giudice-Masiero (GM) extension to mSUGRA, one can introduce new parameters to the K\"ahler potential which are associated with the Higgs sector and recover many of the standard CMSSM predictions. However, depending on the value of $A_0$, one may have a gravitino or a neutralino dark matter candidate. We also consider the consequences of imposing the universality conditions above the GUT scale. This GM extension provides a natural UV completion for the CMSSM.
Copyright/License	arXiv nonexclusive-distrib. 1.0

$\it The $(m_{1/2}, m_0)$ planes for minimal supergravity model with $A_0/m_0 = 0$ (left) and $A_0/m_0 = 2$(right). The relic density is within the WMAP range in the blue strip. The pink region between the black dashed (solid) lines is allowed by $g_\mu-2$ at the 1-$\sigma$ (2-$\sigma$) level. The gravitino is the LSP below the diagonal light blue line and $m_{\stau_1} < m_\chi$ below the brown dotted curve. The brown and green colored regions are excluded by the requirements of a neutral LSP, and by $b \to s \gamma$, respectively. The contours for $m_h$ are labeled in the figure and are shown as red dot-dashed curves and the contours for $\tan \beta$ are shown as solid gray curves. The black dashed curve is the $\mxi = 104$ GeV contour. More details can be found in the text.$ $\it The $(m_{1/2}, m_0)$ planes for minimal supergravity model with $A_0/m_0 = 0$ (left) and $A_0/m_0 = 2$(right). The relic density is within the WMAP range in the blue strip. The pink region between the black dashed (solid) lines is allowed by $g_\mu-2$ at the 1-$\sigma$ (2-$\sigma$) level. The gravitino is the LSP below the diagonal light blue line and $m_{\stau_1} < m_\chi$ below the brown dotted curve. The brown and green colored regions are excluded by the requirements of a neutral LSP, and by $b \to s \gamma$, respectively. The contours for $m_h$ are labeled in the figure and are shown as red dot-dashed curves and the contours for $\tan \beta$ are shown as solid gray curves. The black dashed curve is the $\mxi = 104$ GeV contour. More details can be found in the text.$ $\it The $(m_{1/2}, m_0)$ planes for CMSSM based on a GM supergravity model with $A_0 = 0$, $c_H \ne 0$ and with $\tan \beta = 10$ (left) and $\tan \beta = 40$(right). The meaning of the curves and shaded regions are the same as in Fig.~\ref{fig:msugra}. However, here we show the contours of the required value of $c_H$ in order to maintain the fixed value of $\tan \beta$ across the plane. For $\tan \beta = 40$, it is not possible to satisfy the electroweak symmetry breaking conditions in the the dark pink shaded region at low $m_{1/2}$ and high $m_0$.$ Show more plots

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记录创建於2012-05-29，最後更新在2021-05-03

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