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Starting from a well defined local Lagrangian, we analyze the renormalization group equations in terms of the two different arbitrary scales associated with the regularization procedure and with the physical renormalization of the bare…

High Energy Physics - Theory · Physics 2018-10-12 Jean-François Mathiot

A complete set of postulates of the standard model of the electroweak interaction and mass generation is formulated and confirmed deriving the Lagrangian for the standard model. A massive fermion is formed by a right-handed and a…

General Physics · Physics 2014-06-06 Walter Schmidt-Parzefall

It is shown that the massive Yang-Mills theory is on mass-shell renormalizable. Thus the Standard Model of electroweak interactions can be modified by removing terms with the scalar field from the Lagrangian in the unitary gauge. The…

High Energy Physics - Phenomenology · Physics 2015-06-25 S. A. Larin

We find bounds on scalar masses resulting from a criterion of naturalness, in a broad class of two Higgs doublet models (2HDMs). Specifically, we assume the cancellation of quadratic divergences in what are called the type I, type II,…

High Energy Physics - Phenomenology · Physics 2015-06-19 Ambalika Biswas , Amitabha Lahiri

We propose a supersymmetric extension of the standard model which is a realistic alternative to the MSSM, and which has several advantages. No ``mu'' supersymmetric Higgs/Higgsino mass parameter is needed for sufficiently heavy charginos.…

High Energy Physics - Phenomenology · Physics 2009-11-07 Ann E. Nelson , Nuria Rius , Veronica Sanz , Mithat Unsal

We discuss the concepts and the framework of the renormalization procedure in regularization-invariant momentum subtraction schemes. These schemes are used in the context of lattice simulations for the determination of physical quantities…

High Energy Physics - Phenomenology · Physics 2009-10-20 Christian Sturm

The two-loop renormalization group global profile of the Standard Model (SM) in its full parameter space is investigated. Restrictions on the Higgs boson mass as a function of a cutoff scale are obtained from the stability of the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Yu. F. Pirogov , O. V. Zenin

We refine a result of Matei and Meyer on stable sampling and stable interpolation for simple model sets. Our setting is model sets in locally compact abelian groups and Fourier analysis of unbounded complex Radon measures as developed by…

Functional Analysis · Mathematics 2024-09-05 Christoph Richard , Christoph Schumacher

We study constraints among coupling constants of the standard model obtained in the noncommutative geometry (NCG) method. First, we analyze the evolution of the Higgs boson mass under the renormalization group by adopting the idea of…

High Energy Physics - Theory · Physics 2009-10-31 Eizou Umezawa

We present a renormalizable model of electroweak interactions containing an extra $SU(2)'_L\otimes SU(2)'_R$ symmetry. The masses of the corresponding gauge bosons and of the associated Higgs particles can be made heavy by tuning a…

High Energy Physics - Phenomenology · Physics 2009-10-28 R. Casalbuoni , S. De Curtis , D. Dominici , M. Grazzini

Lagrangian modelling can be used to derive mathematical models for complex power electronic converters. This approach uses scalar quantities (kinetic and potential energy) to derive models, which is simpler than using (vector-based) force…

Systems and Control · Electrical Eng. & Systems 2024-09-24 Shakir Showkat Sofi , Mosaib Ul Munieeb , Fazil Bashir , Munieeb Ul Hassan , Shahkar Ahmad Nahvi

We investigate focus points of the renormalization group equations of the Minimal Supersymmetric Standard Model. We show that within this model the up- and down-type Higgs mass soft supersymmetry breaking parameters have focus point…

High Energy Physics - Phenomenology · Physics 2010-11-11 E. Jurcisinova , M. Jurcisin

We reconsider the choice of renormalization schemes in a differential-equation approach to aid the discussion of the renormalization of the unstable particles and the CKM matrix in the Standard Model. Certain mass dependent schemes do not…

High Energy Physics - Phenomenology · Physics 2007-05-23 Ji-Feng Yang

We quantify the amount of fine tuning of input parameters of the Minimal Supersymmetric Extension of the Standard Model (MSSM) that is needed to respect the lower limits on sparticle and Higgs masses imposed by precision electroweak…

High Energy Physics - Phenomenology · Physics 2009-09-11 P. H. Chankowski , J. Ellis , S. Pokorski

We consider the renormalization group improvement in the theory of the Standard Model (SM) Higgs boson playing the role of an inflaton with a strong non-minimal coupling to gravity. At the one-loop level with the running of constants taken…

High Energy Physics - Phenomenology · Physics 2012-11-30 A. O. Barvinsky , A. Yu. Kamenshchik , C. Kiefer , A. A. Starobinsky , C. F. Steinwachs

This work addresses the problem of infrared mass renormalization for a scalar electron in a translation-invariant model of non-relativistic QED. We assume that the interaction of the electron with the quantized electromagnetic field…

Mathematical Physics · Physics 2007-05-23 Volker Bach , Thomas Chen , Juerg Froehlich , Israel Michael Sigal

We review the ideas of renormalizable field theories and the Standard Model at the Born (neutral currents, the Higgs mechanism and unification) and quantum level. We subsequently illustrate how high statistics experiments are producing the…

High Energy Physics - Phenomenology · Physics 2007-05-23 F. Halzen

The measured (central) values of the Higgs and top quark masses indicate that the Standard Model (SM) effective potential develops an instability at high field values. The scale of this instability, determined as the Higgs field value at…

High Energy Physics - Phenomenology · Physics 2017-03-15 Jose R. Espinosa , Mathias Garny , Thomas Konstandin , Antonio Riotto

We show the computational procedure of the renormalization of the electroweak chiral Lagrangian (the 4D Higgsless standard model), and provide one simplified version of its one-loop renormalization group equations, which we demonstrate its…

High Energy Physics - Phenomenology · Physics 2007-05-23 Qi-Shu Yan

A modified formulation of the Electroweak Model with 3-dimensional spherical geometry in the target space is suggested. The {\it free} Lagrangian in the spherical field space along with the standard gauge field Lagrangian form the full…

Mathematical Physics · Physics 2015-05-18 N. A. Gromov