Inverting the Supersymmetric Standard Model Spectrum: from Physical to Lagrangian Ino Parameters

Abstract

We examine the possibility of recovering the supersymmetric (and soft supersymmetry breaking) Lagrangian parameters as direct {\em analytical} expressions of appropriate physical masses, for the unconstrained (but CP and R-parity conserving) minimal supersymmetric standard model. We concentrate mainly on the algebraically non-trivial "inversion" for the ino parameters, and obtain, for given values of $\tan \beta$, simple analytical expressions for the $\mu$, $M_1$ and $M_2$ parameters in terms of three arbitrary input physical masses, namely either two chargino and one neutralino masses, or alternatively one chargino and two neutralino masses. We illustrate and discuss in detail the possible occurrence of ambiguities in this reconstruction. The dependence of the resulting ino Lagrangian parameters upon physical masses is illustrated, and some simple generic behaviour uncovered in this way. We finally briefly sketch generalizing such an inversion to the full set of MSSM Lagrangian parameters.

Latex, 28 pages, 6 figures, 1 table, some typos corrected, one paragraph extended in section 4.2. Version to appear in Phys. Rev. D

Cited by in corpus (32)

• The role of polarized positrons and electrons in revealing fundamental interactions at the Linear Collider
• Constraints on the Minimal Supergravity Model and Prospects for SUSY Particle Production at Future Linear e^+ e^- Colliders
• Automatised full one-loop renormalisation of the MSSM II: The chargino-neutralino sector, the sfermion sector and some applications
• One-loop corrections to the chargino and neutralino mass matrices in the on-shell scheme
• Fermionic decays of sfermions: a complete discussion at one-loop order
• Phases in the gaugino sector: direct reconstruction of the basic parameters and impact on the neutralino pair production
• Full electroweak one-loop radiative corrections to squark decays in the MSSM
• Studying Gaugino Mass Unification at the LHC
• Chargino Pair Production at $e^{+}{e}^{-}$ Colliders with Polarized Beams
• Measuring Unification
• Loop induced Higgs and Z boson couplings to Neutralinos and implications for collider and Dark Matter searches
• One-loop renormalisation of the NMSSM in SloopS : 1. the neutralino-chargino and sfermion sectors
• Neutralino Production and Decay at an e^+e^- Linear Collider with Transversely Polarized Beams
• LHC String Phenomenology
• A description of the neutralino observables in terms of projectors
• Determining the Structure of Supersymmetry-Breaking with Renormalization Group Invariants
• Bottom-Up Reconstruction Scenarios for (un)constrained MSSM Parameters at the LHC
• The pMSSM Interpretation of LHC Results Using Rernormalization Group Invariants
• Realistic simplified gaugino-higgsino models in the MSSM
• Mass and Spin Measurement with M_T2 and MAOS Momentum
• The neutralino projector formalism for complex SUSY parameters
• Probing the SUSY Higgs boson couplings to scalar leptons at high-energy $e^{+}{e}^{-}$ colliders
• Single Neutralino Production at the LHC
• Testing the CP-violating MSSM in stau decays at the LHC and ILC
• SUSY-Breaking Parameters from RG Invariants at the LHC
• Precision measurements of Higgs-chargino couplings in chargino pair production at a muon collider
• Investigation of the nuetralino pair production at LHC
• Electroweak Corrections to the Neutralino Pair Production at CERN LHC
• The Higgs Boson Mass as Fundamental Parameter of the Minimal Supersymmetric Standard Model
• Connecting String/M Theory to the Electroweak Scale and to LHC Data
• Testing Gaugino Mass Unification Directly at the LHC
• The Neutralino Mass: Correlation With The Charginos