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We present the complete 2-loop renormalization group equations of the supersymmetric standard model. We thus explicitly include the full set of $R $-parity violating couplings, including $\kappa_iL_iH_2$. We use these equations to do a…

High Energy Physics - Phenomenology · Physics 2009-09-25 Herbi Dreiner , Heath Pois

The aim of this work is to investigate the occurrence of two different spontaneous symmetry breakings {at} two levels of the description of fermion-scalar field model, by means of a set of gap equations and {with} a background field…

High Energy Physics - Theory · Physics 2022-06-29 A. A. Nogueira , F. L. Braghin

The one-loop beta functions for systems of $N_s$ scalars and $N_f$ fermions interacting via a general potential are analysed as tensorial equations in $4-\varepsilon$ dimensions. Two distinct bounds on combinations of invariants constructed…

High Energy Physics - Theory · Physics 2023-08-03 William H. Pannell , Andreas Stergiou

Results for $\beta$-functions and anomalous dimensions in general scalar fermion theories are presented to three loops. Various constraints on the individual coefficients for each diagram following from supersymmetry are analysed. The…

High Energy Physics - Theory · Physics 2025-06-16 Ian Jack , Hugh Osborn , Tom Steudtner

In the minimal supersymmetric extension of the Standard Model (MSSM), fermion masses and Yukawa couplings receive radiative corrections at one loop from diagrams involving the supersymmetric particles. The corrections to the relation…

High Energy Physics - Phenomenology · Physics 2009-11-07 Heather E. Logan

The stability of scalar quintessence potentials under quantum fluctuations is investigated for both uncoupled models and models with a coupling to fermions. We find that uncoupled models are usually stable in the late universe. However, the…

Astrophysics · Physics 2009-11-07 M. Doran , J. Jaeckel

We search for static solitons stabilized by heavy fermions in a 3+1 dimensional Yukawa model. We compute the renormalized energy functional, including the exact one-loop quantum corrections, and perform a variational search for…

High Energy Physics - Theory · Physics 2009-11-07 E. Farhi , N. Graham , R. L. Jaffe , H. Weigel

The stability of scalar quintessence potentials under quantum fluctuations is investigated both for uncoupled models and models with a coupling to fermions. We find that uncoupled models are usually stable in the late universe. However, a…

Astrophysics · Physics 2007-05-23 Michael Doran , Joerg Jaeckel

We investigate the compatibility of minimally coupled scalar, fermion and gauge fields with asymptotically safe quantum gravity, using nonperturbative functional Renormalization Group methods. We study d=4,5 and 6 dimensions and within…

High Energy Physics - Theory · Physics 2024-02-27 Pietro Donà , Astrid Eichhorn , Roberto Percacci

We derive the one loop renormalization group equations for the Cabibbo-Kobayashi-Maskawa matrix for the Standard Model, its two Higgs extension and the minimal supersymmetric extension in a novel way. The derived equations depend only on a…

High Energy Physics - Theory · Physics 2008-12-30 P. Kielanowski , S. R. Juarez W. , J. H. Montes de Oca Y.

It is well known that single real scalar field does not allow gauge coupling to the Abelian vector field. Using the complex scalar model as a starting point, we construct the Abelian gauge model with two real scalars. The gauge…

General Physics · Physics 2025-12-04 Lucas Ducastelo de C. C. Lima , Ilya L. Shapiro

Finite quantum field theories may be constructed from the most general renormalizable quantum field theory by forbidding, order by order in the perturbative loop expansion, all ultraviolet-divergent renormalizations of the physical…

High Energy Physics - Theory · Physics 2009-10-30 Wolfgang Lucha , Michael Moser

The process of renormalization to eliminate divergences arising in quantum field theory is not uniquely defined; one can always perform a finite renormalization, rendering finite perturbative results ambiguous. The consequences of making…

High Energy Physics - Phenomenology · Physics 2019-01-24 D. G. C. McKeon , Chenguang Zhao

We consider the Higgs and Yukawa parts of the Non-Commutative Standard Model (NCSM). We explore the NC-action to give all Feynman rules for couplings of the Higgs boson to electro-weak gauge fields and fermions.

High Energy Physics - Phenomenology · Physics 2015-10-28 S. Batebi , M. Haghighat , S. Tizchang , H. Akafzadeh

We consider the dynamics of gauge-Yukawa theories in the presence of a large number of matter constituents. We first review the current status for the renormalization group equations of gauge-fermion theories featuring also semi-simple…

High Energy Physics - Phenomenology · Physics 2018-07-18 Oleg Antipin , Nicola Andrea Dondi , Francesco Sannino , Anders Eller Thomsen , Zhi-Wei Wang

We show that it is possible to find an extension of the matter content of the standard model with a unification of gauge and Yukawa couplings reproducing their known values. The perturbative renormalizability of the model with a single…

High Energy Physics - Phenomenology · Physics 2009-10-30 Mario Atance , Jose Luis Cortes , Igor G. Irastorza

We consider an abelian gauge theory with spontaneously broken symmetry containing a scalar-fermion coupling which is non-linear in the Higgs field. Although in the unitary gauge it reduces to a pure Yukawa term, suggesting that the theory…

High Energy Physics - Theory · Physics 2007-05-23 Nistor Nicolaevici

We study a non-supersymmetric SO(10) Grand Unification Theory with a very high energy intermediate symmetry breaking scale in which not only gauge but also Yukawa coupling unification are enforced via suitable threshold corrections and…

High Energy Physics - Phenomenology · Physics 2023-07-12 Abdelhak Djouadi , Renato Fonseca , Ruiwen Ouyang , Martti Raidal

We explore the possibility of achieving one--step unification of the standard model coupling constants within non supersymmetric and supersymmetric gauge models, which at low energies have only the standard particle content. The constraints…

High Energy Physics - Phenomenology · Physics 2009-10-31 Abdel Pérez-Lorenzana , William A. Ponce , Arnulfo Zepeda

The recent introduction of a deformed non-minimal version of the noncommutative Standard Model in the enveloping-algebra approach, having a one-loop renormalisable gauge sector involving a higher order gauge term, motivates us to consider…

High Energy Physics - Theory · Physics 2010-04-30 C. Tamarit , J. Trampetic