We employ the ATLAS search results for events containing jets and large missing transverse momentum, corresponding to an integrated luminosity of 1 fb −1 , to investigate the constrained minimal supersymmetric model (CMSSM) with b − τ Yukawa coupling unification. In this scenario, one of the stops is the next-to-lightest supersymmetric particle (NLSP), which co-annihilates with the lightest (LSP) neutralino to yield the desired dark matter relic abundance. The NLSP stop, here taken to be lighter than the top quark, is slightly ( < ∼ 20% − 30%) heavier than the LSP neutralino, and it primarily decays into the LSP and a charm quark. We find that the multi-jets and monojet ATLAS searches are sensitive to this scenario if the stop pair production is accompanied by a hard QCD jet. The excluded limit for the NLSP stop mass from the ATLAS data can reach 160 GeV in the coannihilation region, with mass below 140 GeV essentially excluded. A significant region of the parameter space corresponding to large m 0 values, 8 TeV < ∼ m 0 < ∼ 16 TeV, is excluded by our analysis. For LSP neutralino mass ∼ 100 GeV, the LHC constraints in some cases on the spin-dependent (spin-independent) neutralino-nucleon cross section are significantly more stringent than the current and expected bounds from Xenon, CDMS and IceCube.

We revisit a class of supersymmetric SO(10) models with t-b-τ Yukawa coupling unification condition, with emphasis on the prediction of the Higgs mass. We discuss qualitative features in this model that lead to a Higgs mass prediction close to 125 GeV. We show this with two distinct computing packages, Isajet and SuSpect, and also show that they yield similar global features in the parameter space of this model. We find that t-b-τ Yukawa coupling unification prefers values of the CP-odd Higgs mass m A to be around 600 GeV, with all colored sparticle masses above 3 TeV. We also briefly discuss prospects for testing this scenario with the ongoing and planned direct dark matter detection experiments. In this class of models with t-b-τ Yukawa unification, the neutralino dark matter particle is heavy (mχ0 1 400 GeV), which coannihilates with a stau to yield the correct relic abundance.

We propose a first order equation from which the Schrodinger equation can be derived. Matrices that obey certain properties are introduced for this purpose. We start by constructing the solutions of this equation in 1D and solve the problem of electron scattering from a step potential. We show that the sum of the spin up and down, reflection and transmission coefficients, is equal to the quantum mechanical results for this problem. Furthermore, we present a 3D version of the equation which can be used to derive the Schrodinger equation in 3D.Comment: 13 pages, 4 Figures, version to be published in FOO

We study the neutralinos and sleptons in multi-lepton final states at the LHC in light of (g − 2) µ anomaly. We scan the MSSM parameters relevant to (g − 2) µ and focus on three distinct cases with different neutralino compositions. The explanation of (g − 2) µ excess at 2σ range requires the smuon (μ 1 ) to be lighter than ∼ 500 (1000) GeV for tan β = 10 (50). Correspondingly the two lightest neutralinos,χ 0 1 ,χ 0 2 , have to be lighter than ∼ 300 (650) GeV and 900 (1500) GeV respectively. We explore the prospects of searching these light neutralinos and smuons at the LHC. The upcoming run of the LHC will be able to set 95% CL exclusion limit on Mχ0 2 (∼ 650 − 1300 GeV) and ml (∼ 670 − 775 GeV) with Mχ0

Rashba spin orbit interaction is a well studied effect in condensed matter physics and has important applications in spintronics. The Standard Model Extension (SME) includes a CPT-even term with the coefficient H µν which leads to the Rashba interaction term. From the limit available on the coefficient H µν in the SME we derive a limit on the Rashba coupling constant for Lorentz violation. In condensed matter physics the Rashba term is understood as resulting from an asymmetry in the confining potential at the interface of two different types of semiconductors. Based on this interpretation we suggest that a possible way of inducing the H µν term in the SME is with an asymmetry in the potential that confines us to 3 spatial dimensions.