#
Cern-Ph-Th/2012-307

Implications of LHC Higgs and SUSY searches
for MSSM

## Abstract

The implications of the LHC SUSY searches as well as the discovery of a new bosonic state compatible with the lightest Higgs boson will be discussed in the context of constrained and general MSSM scenarios. Exploring the MSSM through the Higgs sector is an alternative and complementary path to direct searches, and tight constraints on the MSSM parameter space can be obtained.

Implications of LHC Higgs and SUSY searches for MSSM
\FullConference36th International Conference on High Energy Physics

4-11 July 2012

Melbourne, Australia

## 1 Introduction

The search for Higgs and supersymmetry (SUSY) are the main focus of ATLAS and CMS experiments. Although before the start of the LHC the expectation for an early discovery of supersymmetric partners of the Standard Model (SM) particles was very high (mainly driven by the studies in the constrained SUSY scenarios), no SUSY particle has been observed yet. On the other hand, ATLAS and CMS collaborations have reported the discovery of a new bosonic state with a mass of around 126 GeV, compatible with the SM-Higgs [1, 2]. These results have significant implications for the Minimal Supersymmetric Standard Model (MSSM). In the following, we discuss the consequences of the latest SUSY and Higgs search results in the context of the MSSM.

## 2 Implication of SUSY searches

To study the implication of the LHC SUSY searches we consider the unconstrained phenomenological MSSM (pMSSM) with 19 parameters [3]. Most of the previous studies considered the highly constrained models with a small number of free parameters. However, these models are not representative of a generic MSSM scenario where the particle mass parameters are independent. As we will see below, the results can be very different in such generic scenarios.

To explore the pMSSM, we perform a flat scan over the parameters in the ranges given in Table 1. The particle spectra are generated for more than 100M points using SOFTSUSY [4] and SUSPECT [5]. We impose the SUSY and Higgs mass limits from LEP and Tevatron as described in [6]. The flavour observables, muon anomalous magnetic moment and relic density are computed with SuperIso Relic [7], and we apply the constraints given in Table 2. We do not discuss here the consequences of the dark matter direct detection results which are discussed thoroughly in [8].

Parameter | Range | Parameter | Range |
---|---|---|---|

[1, 60] | [50, 2500] | ||

[50, 2000] | [50, 2500] | ||

[-2500, 2500] | [50, 2500] | ||

[-2500, 2500] | [50, 2500] | ||

[50, 2500] | [50, 2500] | ||

[-10000, 10000] | [50, 2500] | ||

[-10000, 10000] | [50, 2500] | ||

[-10000, 10000] | [50, 2500] | ||

[-1000, 2000] | [50, 2500] | ||

[50, 2500] |

To evaluate the consequences of the SUSY searches, we compute the supersymmetric particle decay rates with SDECAY [9] and we use PYTHIA 6 [10] for event generation of inclusive SUSY production in interactions. The generated events are then passed through fast detector simulation using Delphes [11]. The Higgs decay rates are computed with HDECAY [13] and the gluon fusion and VBF cross sections of the lightest CP-even Higgs with HIGLU [14] and FeynHiggs [15]. More details can be found in [6, 12].

We consider the consequences of the SUSY searches in all hadronic events with [16], in same-sign isolated dilepton events with jets [17] and missing energy and in opposite-sign dilepton events with missing transverse energy [18] in the CMS detector at 7 TeV with 1 fb of data, and extrapolate to the 8 TeV run with 15 fb of data. In Fig. 1 we show the consequences on the masses of the lightest squark of the first two generations, the lightest neutralino and , where the distribution of the points compatible with SUSY searches with 1 fb at 7 TeV and the projections for 15 fb at 7 and 8 TeV data are displayed.

We notice that with 15 fb of data at 8 TeV, more than 30% of the points with squark masses below 1 TeV will still be allowed. The spectrum of the weakly interacting particles will be even less affected as there is basically no sensitivity for neutralino masses above 700 GeV. The spectrum of is also rather flat. The full set of the results can be found in [12]. These results in the unconstrained pMSSM are very different from those obtained in highly constrained scenarios such as mSUGRA.

## 3 Implication of Higgs searches

An alternative way to efficiently constrain SUSY is using the information from the Higgs sector. In the following, we consider that the new boson discovered at the LHC corresponds to the lightest CP-even Higgs boson. The combination of the Higgs search results presented by ATLAS and CMS are given in Table 3.

Parameter | Value | Experiment |
---|---|---|

125.92.1 GeV | ATLAS [1] + CMS [2] | |

1.710.33 | ATLAS [19] + CMS [20] | |

0.950.40 | ATLAS [21] + CMS [22] | |

1.64 (95% C.L.) | CMS [23] | |

1.06 (95% C.L.) | CMS [24] |

In [25, 26], we have shown that the Higgs mass measurement has strong implications on the constrained MSSM scenarios. This is demonstrated in Fig. 2, where the maximal value of the light Higgs mass is given in mAMSB, mGMSB, mSUGRA and some of its variants, as a function of and the SUSY scale .

The parameters of the models are varied within the ranges given in [26], and the top quark mass is taken to be GeV, and is limited to 3 TeV. While mSUGRA and NUHM provide solutions compatible with a Higgs mass 126 GeV, it is clear that the minimal versions of GMSB and AMSB, and the even more constrained mSUGRA scenarios (VCMSSM, no-scale) are disfavoured.

It should be noted that the value of top mass has a significant impact on the maximal Higgs mass, in particular in constrained scenarios, where also enters in the evaluation of the soft SUSY breaking parameters and the minimisation of the scalar potential. This effect is demonstrated in Fig. 3 for the minimal SUGRA, AMSB and GMSB models.

We turn now to the pMSSM and in Fig. 4 we show the distribution of points compatible with SUSY searches with 15 fb of 7 TeV data as well as the Higgs mass constraints and the and signal strengths given in Table 3, as functions of the masses of the lightest squark of the first two generations, the lightest neutralino and .

A comparison with Fig. 1 reveals first that the Higgs constraints strongly reduce the statistics. The squark and neutralino distribution shapes are quite unaffected, but the small region (below 15) is now more constrained.

In Fig. 5 we present the distribution of pMSSM points compatible with the boson mass and the observed yields given, in the , , and , parameter planes. To do so, we combined all the constraints in Table 3 with a combination. We notice first that small values of are clearly disfavoured, and that stop masses as low as 400 GeV are still compatible with the data. This is mainly the results of the Higgs mass measurement which calls for non minimal mixing in the stop sector. Second, the negative region is favoured by the rate constraints. This can be explained by the fact that a decrease in the rate, generated in particular by negative , would result in an increase of , which is favoured by present data. Similarly, negative are favoured since a reduced rate is more likely to be consistent with the current limit. Finally, GeV values are strongly disfavoured by the Higgs mass and rate measurements for any value of , and therefore the decoupling regime seems to be favoured by the data.

## 4 Conclusion

We have considered the results from SUSY and Higgs searches at the LHC in the context of the MSSM. Contrary to the constrained MSSM scenarios, in the pMSSM the current LHC limits from the SUSY searches still leave a substantial room for low energy SUSY. This conclusion does not change when we include in addition the information from the Higgs sector, namely the mass and signal yields of the new boson. However, the current Higgs data already point to specific regions of the MSSM, in particular to the decoupling regime with large stop and negative sbottom and stau mixings. With more data becoming available, and more precise experimental results on the Higgs boson properties, more important impacts on the parameter regions of the SUSY scenarios are to be expected.

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