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Within the superfield approach, we discuss the three-dimensional supersymmetric (SUSY) pseudo-QED. We prove that it is all-loop renormalizable. We demonstrate that the SUSY pseudo-QED action can be generated as a quantum correction from the…

High Energy Physics - Theory · Physics 2023-03-23 Van Sérgio Alves , M. Gomes , A. Yu. Petrov , A. J. da Silva

This PhD thesis is devoted to show that differential renormalization is a simple and useful renormalization method that we can use when dealing with gauge theories. In this work, it is shown how the one-loop results of Constraint…

High Energy Physics - Theory · Physics 2007-06-27 Cesar Seijas

We study analytically the general features of electroweak symmetry breaking in the context of the Minimal Supersymmetric Standard Model extended by one Higgs singlet. The exact analytical forms of the renormalization group evolutions of the…

High Energy Physics - Phenomenology · Physics 2008-11-26 Y. Mambrini , G. Moultaka , M. Rausch de Traubenberg

We explore the phenomenological predictions of a supersymmetric standard model, with a large extra dimension and unifying gauge couplings. The modified five dimensional renormalisation group equations make it possible to obtain light,…

High Energy Physics - Phenomenology · Physics 2015-11-30 Zygmunt Lalak , Marek Lewicki , Moritz McGarrie , Paweł Olszewski

The complete set of two-loop renormalization group equations in general gauge field theories is presented. This includes the \beta functions of parameters with and without a mass dimension.

High Energy Physics - Phenomenology · Physics 2009-11-07 Mingxing Luo , Huawen Wang , Yong Xiao

We reexamine the renormalization group equations (RGEs) for the dimensionless and dimensionful parameters of the Minimal Supersymmetric Standard Model (MSSM), incorporating 1-loop thresholds. The inclusion of these thresholds necessarily…

High Energy Physics - Phenomenology · Physics 2015-05-14 Andrew D. Box

We present a systematic investigation of one-loop renormalizability for nonanticommutative N=1/2, U(N) SYM theory in superspace. We first discuss classical gauge invariance of the pure gauge theory and show that in contradistinction to the…

High Energy Physics - Theory · Physics 2009-11-11 Marcus T. Grisaru , Silvia Penati , Alberto Romagnoni

We calculate the two-loop $\beta$-functions for soft supersymmetry-breaking interactions in a general supersymmetric gauge theory, emphasising the role of the evanescent couplings and masses that are generic to a non-supersymmetric theory.…

High Energy Physics - Phenomenology · Physics 2011-07-19 I. Jack , D. R. T. Jones

We present a construction kit for calculating two-loop beta functions in N=1 supersymmetric theories for the operators of the superpotential using supergraph techniques. In particular, it allows to compute the beta functions for every…

High Energy Physics - Phenomenology · Physics 2009-11-07 Stefan Antusch , Michael Ratz

Grand Unified Theories often involve additional Abelian group factors apart from the standard model hypercharge, that generally lead to loop-induced mixing gauge kinetic terms. In this letter, we show that at the one-loop level this effect…

High Energy Physics - Phenomenology · Physics 2012-02-22 Felix Braam , Juergen Reuter

For arbitrary scalar QFTs in four dimensions, renormalisation group equations of quartic and cubic interactions, mass terms, as well as field anomalous dimensions are computed at three-loop order in the $\overline{\text{MS}}$ scheme.…

High Energy Physics - Theory · Physics 2021-02-19 Tom Steudtner

If supersymmetric particles are discovered, an important problem will be to determine how supersymmetry has been broken. At collider energies, supersymmetry breaking can be parameterised by soft supersymmetry breaking parameters. Several…

High Energy Physics - Phenomenology · Physics 2012-11-07 Jamil Hetzel

We consider a symmetric scalar theory with quartic coupling in 4-dimensions and compare the standard 2PI calculation with a modified version which uses a functional renormalization group method. The set of integral differential equations…

High Energy Physics - Phenomenology · Physics 2015-01-14 M. E. Carrington , Wei-Jie Fu , D. Pickering , J. W. Pulver

We discuss the dependence of running couplings on the choice of regularization method in a general softly-broken N=1 supersymmetric theory. Regularization by dimensional reduction respects supersymmetry, but standard dimensional…

High Energy Physics - Phenomenology · Physics 2009-10-22 Stephen P. Martin , Michael T. Vaughn

We comment on a recent puzzle regarding renormalization group invariance of exact results in SUSY theories, and argue that a purported renormalization of the dynamical scale \Lambda does not in fact occur.

High Energy Physics - Theory · Physics 2008-02-03 D. Finnell

In these notes the exact renormalization group formulation of the scalar theory is briefly reviewed. This regularization scheme is then applied to supersymmetric theories. In case of a supersymmetric gauge theory it is also shown how to…

High Energy Physics - Theory · Physics 2007-05-23 Federica Vian

The set of renormalisation group equations to two loop order for general supersymmetric theories broken by soft and supersoft operators is completed. As an example, the explicit expressions for the RGEs in a Dirac gaugino extension of the…

High Energy Physics - Phenomenology · Physics 2015-06-05 Mark D. Goodsell

In part I general aspects of the renormalization of a spontaneously broken gauge theory have been introduced. Here, in part II, two-loop renormalization is introduced and discussed within the context of the minimal Standard Model.…

High Energy Physics - Phenomenology · Physics 2008-11-26 S. Actis , G. Passarino

We study the two-loop renormalization group equation for the running gaugino mass in the supersymmetric gauge theory. We find that both in the \msbar and \drbar renormalization schemes, the well-known proportionality of the runnings of the…

High Energy Physics - Phenomenology · Physics 2009-10-22 Youichi Yamada

For supersymmetric gauge theories a consistent regularization scheme that preserves supersymmetry and gauge invariance is not known. In this article we tackle this problem for supersymmetric QED within the framework of algebraic…

High Energy Physics - Phenomenology · Physics 2011-09-13 W. Hollik , E. Kraus , D. Stöckinger