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      Radiative natural SUSY with a 125 GeV Higgs boson

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          Abstract

          It has been argued that requiring low electroweak fine-tuning (EWFT) along with a (partial) decoupling solution to the SUSY flavor and CP problems leads to a sparticle mass spectra characterized by light Higgsinos at 100-300 GeV, sub-TeV third generation scalars, gluinos at a few TeV and multi-TeV first/second generation scalars (natural SUSY). We show that by starting with multi-TeV first/second and third generation scalars and trilinear soft breaking terms, the natural SUSY spectrum can be generated radiatively via renormalization group running effects. Using the complete 1-loop effective potential to calculate EWFT, significantly heavier third generation squarks can be allowed even with low EWFT. The large negative trilinear term and heavier top squarks allow for a light Higgs scalar in the ~125 GeV regime.

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          The Renormalization-Group Improved Higgs Sector of the Minimal Supersymmetric Model

          In the minimal supersymmetric model (MSSM) all Higgs self-coupling parameters are related to gauge couplings at tree-level. Leading-logarithmic radiative corrections to these quantities can be summed using renormalization group techniques. By this procedure we obtain complete leading-log radiative corrections to the Higgs masses, the CP-even Higgs mixing angle, and trilinear Higgs couplings. Additional corrections due to squark mixing can be explicitly incorporated into this formalism. These results incorporate nearly all potentially large corrections. Mass shifts to the neutral CP-even Higgs bosons grow with the fourth power of the top-quark mass and can be significant. The phenomenological consequences of these results are examined.
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            Implications of a 125 GeV Higgs scalar for LHC SUSY and neutralino dark matter searches

            The ATLAS and CMS collaborations have reported an excess of events in the \gamma\gamma, ZZ^*\to 4\ell and WW^* search channels at an invariant mass m \simeq 125 GeV, which could be the first evidence for the long-awaited Higgs boson. We investigate the consequences of requiring m_h\simeq 125 GeV in both the mSUGRA and NUHM2 SUSY models. In mSUGRA, large values of trilinear soft breaking parameter |A_0| are required, and universal scalar m_0\agt 0.8 TeV is favored so that we expect squark and slepton masses typically in the multi-TeV range. This typically gives rise to an "effective SUSY" type of sparticle mass spectrum. In this case, we expect gluino pair production as the dominant sparticle creation reaction at LHC. For m_0 2 TeV and m_A> 0.8 TeV, greatly restricting neutralino annihilation mechanisms. These latter conclusions are softened if m_0\sim 10-20 TeV or if one proceeds to the NUHM2 model. The standard neutralino abundance tends to be far above WMAP-measured values unless the neutralino is higgsino-like. We remark upon possible non-standard (but perhaps more attractive) cosmological scenarios which can bring the predicted dark matter abundance into accord with the measured value, and discuss the implications for direct and indirect detection of neutralino cold dark matter.
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              Supersymmetry discovery potential of the LHC at \(\sqrt{s}=\)10 and 14 TeV without and with missing \(E_T\)

              We examine the supersymmetry (SUSY) reach of the CERN LHC operating at \(\sqrt{s}=10\) and 14 TeV within the framework of the minimal supergravity model. We improve upon previous reach projections by incorporating updated background calculations including a variety of \(2\to n\) Standard Model (SM) processes. We show that SUSY discovery is possible even before the detectors are understood well enough to utilize either \(E_T^{\rm miss}\) or electrons in the signal. We evaluate the early SUSY reach of the LHC at \(\sqrt{s}=10\) TeV by examining multi-muon plus \(\ge4\) jets and also dijet events with {\it no} missing \(E_T\) cuts and show that the greatest reach in terms of \(m_{1/2}\) occurs in the dijet channel. The reach in multi-muons is slightly smaller in \(m_{1/2}\), but extends to higher values of \(m_0\). We find that an observable multi-muon signal will first appear in the opposite-sign dimuon channel, but as the integrated luminosity increases the relatively background-free but rate-limited same-sign dimuon, and ultimately the trimuon channel yield the highest reach. We show characteristic distributions in these channels that serve to distinguish the signal from the SM background, and also help to corroborate its SUSY origin. We then evaluate the LHC reach in various no-lepton and multi-lepton plus jets channels {\it including} missing \(E_T\) cuts for \(\sqrt{s}=10\) and 14 TeV, and plot the reach for integrated luminosities ranging up to 3000 fb\(^{-1}\) at the SLHC. For \(\sqrt{s}=10\) TeV, the LHC reach extends to \(m_{gluino}=1.9, 2.3, 2.8\) and 2.9 TeV for \(m_{squark}\sim m_{gluino}\) and integrated luminosities of 10, 100, 1000 and 3000 fb\(^{-1}\), respectively. For \(\sqrt{s}=14\) TeV, the LHC reach for the same integrated luminosities is to \(m_{gluino}=2.4,\3.1, 3.7\) and 4.0 TeV.
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                Author and article information

                Journal
                13 July 2012
                2012-09-18
                Article
                10.1103/PhysRevLett.109.161802
                1207.3343
                ad8190ea-7127-45b2-b023-2cc08d34b7a4

                http://arxiv.org/licenses/nonexclusive-distrib/1.0/

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                Custom metadata
                5 pages including 3 figures; minor typos/references added for version 2
                hep-ph

                High energy & Particle physics
                High energy & Particle physics

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