Two-Loop Corrections to the Muon Magnetic Moment from Fermion/Sfermion Loops in the MSSM: Detailed Results

Abstract

Recently, first results were presented for two-loop corrections to the muon (g-2) from fermion/sfermion loops in the MSSM. These corrections were shown to be generally large and even logarithmically enhanced for heavy sfermions. Here, full details of the calculation and analytical results are presented. Also, a very compact formula is provided which can be easily implemented and serves as a good approximation of the full result as a function of the fourteen most important input parameters. Finally, a thorough discussion of the numerical behaviour of the fermion/sfermion-loop corrections to (g-2)_μ is given. The discussion includes the case of very heavy SUSY masses as well as experimentally allowed scenarios with very light SUSY masses.

56 pages, 20 figures. v2 is the journal version. The Mathematica code amu2Lapprox.m for the compact approximation formula can be obtained from http://iktp.tu-dresden.de/?id=theory-software

References in corpus (11)

• The Muon Magnetic Moment and Supersymmetry
• The Higgs sector of the phenomenological MSSM in the light of the Higgs boson discovery
• Status of the Fermilab Muon (g-2) Experiment
• Probing Bino Contribution to Muon g-2
• Renormalization of vacuum expectation values in spontaneously broken gauge theories: Two-loop results
• Electroweak and supersymmetric two-loop corrections to lepton anomalous magnetic and electric dipole moments
• Non-decoupling two-loop corrections to (g-2)_μ from fermion/sfermion loops in the MSSM
• Renormalization and two loop electroweak corrections to lepton anomalous dipole moments in the standard model and beyond (I): heavy fermion contributions
• Very Light Charginos and Higgs Decays
• Measuring Unification
• Reconstructing Supersymmetric Contribution to Muon Anomalous Magnetic Dipole Moment at ILC

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