Precision corrections in the minimal supersymmetric standard model
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, 28 April 1997, Pages 3-67
Precision corrections in the minimal supersymmetric standard model
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aStanford Linear Accelerator Center, Stanford University, Stanford, CA 94309, USAbDepartment of Physics and Astronomy, Johns Hopkins University, Baltimore, MD 21218, USA
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In this paper we compute one-loop corrections to masses and couplings in the minimal supersymmetric standard model. We present explicit formulae for the complete corrections and a set of compact approximations which hold over the unified parameter space associated with radiative electroweak symmetry breaking. We illustrate the importance of the corrections and the accuracy of our approximations by scanning over the parameter space. We calculate the supersymmetric one-loop corrections to the W-boson mass, the effective weak mixing angle, and the quark and lepton masses, and discuss implications for gauge and Yukawa coupling unification. We also compute the one-loop corrections to the entire superpartner and Higgs-boson mass spectrum. We find significant corrections over much of the parameter space, and illustrate that our approximations are good to O(1%) for many of the superparticle masses.
Grand unification
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IEEE Computer Society Washington, DC, USA
2005 Article
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Classification of simple quartics up to equisingular deformation
Abstract: We study complex spatial quartic surfaces with simple singularities up to
equis as a first step, give a complete equisingular
deformation classification of the so-called non-special simple quartic
Algebraic Geometry (math.AG); Geometric Topology (math.GT)
MSC&classes:
Primary: 14J28, Secondary 14J10, 14J17
[math.AG] for this version)
Submission history
From: Çisem G&#neş Aktaş []
[v1] Fri, 21 Aug :06 GMTDendriform equations
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, 1 December 2009, Pages
Computational Algebra
Dendriform equations
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aLaboratoire MIA, Université de Haute Alsace, 4 rue des Frères Lumière, 68093 Mulhouse, FrancebUniversité Blaise Pascal, C.N.R.S.-UMR
Aubière, France
Communicated by Jean-Yves Thibon
Under an Elsevier
Open Archive
We investigate solutions for a particular class of linear equations in dendriform algebras. Motivations as well as several applications are provided. The latter follow naturally from the intimate link between dendriform algebras and Rota–Baxter operators, e.g. the Riemann integral map or Jackson's q-integral.
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