Higgs boson mass predictions in supergravity unification, recent LHC-7 results, and dark matter

LHC-7 has narrowed down the mass range of the light Higgs boson. This result is consistent with the supergravity unification framework, and the current Higgs boson mass window implies a rather significant loop correction to the tree value, pointing to a relatively heavy scalar sparticle spectrum with universal boundary conditions. It is shown that the largest value of the Higgs boson mass is obtained on the hyperbolic branch of radiative breaking. The implications of light Higgs boson in the broader mass range of 115 GeV to 131 GeV and a narrower range of 123 GeV to 127 GeV are explored in the context of the discovery of supersymmetry at LHC-7 and for the observation of dark matter in direct detection experiments.

Figure 1

Left: Exhibition of the light Higgs mass as a function of $m_0$ for $\tan \beta >20$. Right: Same as the left panel except that $\tan \beta <20$. The data analyzed passes the general constraints and are generated with both scans of $m_0$.

Figure 2

Left: A display of the model points in the $\tan \beta -A_0/m_0$ plane when $m_{h^0}>115\mathrm{GeV}$. Model points are shaded according to their light Higgs boson mass, $m_{h^0}$. Middle: Same as the left panel except that $m_{h^0}>123\mathrm{GeV}$. Right: Exhibition of the model points in the $m_{h^0}-A_0/m_0$ plane displayed by $\log (m_0)$ with $m_0$ in GeV units. It is seen that for low values of $|A_0/m_0|$ larger $m_0$ corresponds to a heavier light Higgs boson. The data analyzed passes the general constraints and are generated with both scans of $m_0$ as discussed in the text.

Figure 3

An exhibition of $\mu$ vs $|m_{H_2}(Q)|$ as an illustration of the degree of cancellation in different regions of the parameter space. One finds that, on the upper branch, $\mu$ is comparable to $|m_{H_2}(Q)|$, showing that there is not much cancellation in REWSB to produce $\mu$. On the lower branch one finds that $|m_{H_2}(Q)|$ can get large while $\mu$ remains small pointing to significant cancellations in REWSB.

Figure 4

Analysis is based on the general constraints discussed in the text and for both scans of $m_0$. Left panel: Exhibition of the stop vs the gluino mass in the mass window where both the stop and the gluino masses run till 10 TeV. Middle panel: Exhibition of stop mass vs stau mass. Right panel: Exhibition of the gluino mass vs $\mu$.

Figure 5

Analysis of the Higgs boson mass in Focal Regions. The analysis is done for the model points that satisfy the low $m_0$ sampling and the general constraints. Left: Shows the EB region with the light Higgs boson mass greater than 115 GeV. We see that the majority of these points are not in the heavy Higgs boson region. Middle Left: Displays the HB/FP where we see that there are no Higgs masses greater then 120 GeV. In the right two panels we display the HB/FS (which include HB/FC) as follows: in the middle right panel we exhibit the HB/FS model points for the Higgs mass range above 115 GeV and in the right panel we exhibit the HB/FS model points that have the light Higgs boson mass between 123 GeV and 127 GeV. In all panels the dotted magenta line corresponds to the curve CMS given in Ref. 2 of 12 and the solid magenta line corresponds to the ATLAS curve of Ref. 1 of 16.

Figure 6

Exhibition of proton-neutralino spin-independent cross section against the neutralino mass. Here we see that models with a Higgs boson mass in the range consistent with the results from LHC-7 will be probed in the next round of dark matter experiments. In the plots the proton-neutralino spin-independent cross section was corrected by $\mathcal{R}\equiv (\Omega h^2)/(\Omega h^2{)}_{\mathrm{WMAP}}$ to allow for multicomponent dark matter. The analysis is done for the model points passing the general constraints from the low $m_0$ sampling. The left panel gives the full light Higgs boson mass range, i.e., 115 GeV to 131 GeV and the right panel only deals with the sensitive region between 123 GeV to 127 GeV.