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We investigate the renormalization group (RG) flow of SU(3) lattice gauge theory in a two coupling space with couplings $\beta_{11}$ and $\beta_{12}$ corresponding to $1\times 1$ and $1\times 2$ loops respectively. Extensive numerical…

We stress the potential usefulness of renormalization group invariants. Especially particular combinations thereof could for instance be used as probes into patterns of supersymmetry breaking in the MSSM at inaccessibly high energies. We…

High Energy Physics - Phenomenology · Physics 2015-09-11 Wim Beenakker , Tom van Daal , Ronald Kleiss , Rob Verheyen

We extend the geometric framework of field-space covariance for loop computations, thereby unifying the treatment of scalars, fermions, and gauge bosons in effective field theories. This allows us to derive a manifestly covariant formula…

High Energy Physics - Phenomenology · Physics 2025-04-28 Benoît Assi , Andreas Helset , Julie Pagès , Chia-Hsien Shen

By making a renormalization group analysis we explore the possibility of having a 331 model as the only intermediate gauge group between the standard model and the scale of unification of the three coupling constants. We shall assume that…

High Energy Physics - Phenomenology · Physics 2008-11-26 Rodolfo A. Diaz , D. Gallego , R. Martinez

We show that N=1/2 supersymmetric gauge theory is renormalisable at one loop, but only after gauge invariance is restored in a non-trivial fashion.

High Energy Physics - Theory · Physics 2009-11-10 I. Jack , D. R. T. Jones , L. A. Worthy

We study the renormalization of (softly) broken supersymmetric theories at the one loop level in detail. We perform this analysis in a superspace approach in which the supersymmetry breaking interactions are parameterized using spurion…

High Energy Physics - Theory · Physics 2008-11-26 Stefan Groot Nibbelink , Tino S. Nyawelo

Strategy and results for complete one-loop computations in the Minimal Supersymmetric Standard Model are reviewed, with applications to the calculation of SUSY mass spectra and SUSY-particle processes. Determination of renormalization…

High Energy Physics - Phenomenology · Physics 2009-11-10 T. Fritzsche , W. Hollik

The manifestly gauge invariant Exact Renormalisation Group provides a framework for performing continuum computations in SU(N) Yang-Mills theory, without fixing the gauge. We use this formalism to compute the two-loop beta function in a…

High Energy Physics - Theory · Physics 2009-11-11 Tim R. Morris , Oliver J. Rosten

We define a model of 2 coupled SU(2) doublets of scalar fields in $4$ spacetime dimensions which have a rich structure of renormalization group (RG) flows to 1-loop when the SU(2) is broken to U(1). The model is pseudo-hermitian, $H^\dagger…

High Energy Physics - Theory · Physics 2026-04-07 André LeClair

We present the two-loop $\beta$-functions for non-standard soft supersymmetry-breaking couplings including non-standard R-parity violating soft terms in the Minimal Supersymmetric Standard Model

High Energy Physics - Phenomenology · Physics 2011-11-03 A. F. Kord , S. Hosseini

Two very different problems that can be studied by renormalization group methods are discussed with the aim of showing the conceptual unity that renormalization group has introduced in some areas of theoretical Physics. The two problems…

Statistical Mechanics · Physics 2008-02-26 Giovanni Gallavotti

Non-perturbative renormalisation of a general class of scalar field theories is performed at the Hartree level truncation of the 2PI effective action in the broken symmetry regime. Renormalised equations are explicitly constructed for the…

High Energy Physics - Phenomenology · Physics 2008-11-26 G. Fejos , A. Patkos , Zs. Szep

We present a through discussion of motivations for and phenomenological issues in supersymmetric models with minimal matter content and non-holomorphic soft-breaking terms. Using the unification of the gauge couplings and assuming SUSY is…

High Energy Physics - Phenomenology · Physics 2009-11-11 M. A. Cakir , S. Mutlu , L. Solmaz

We study new renormalization-group invariant quantities of soft supersymmetry breaking parameters other than the ratio of gaugino mass to gauge coupling squared by using the spurion method. The obtained invariants are useful to probe…

High Energy Physics - Phenomenology · Physics 2008-11-26 Tatsuo Kobayashi , Koichi Yoshioka

The renormalization of the Minimal Supersymmetric Standard Model of electroweak interactions is presented to all orders of perturbation theory using the algebraic method. Special attention is directed to the issues of soft supersymmetry…

High Energy Physics - Phenomenology · Physics 2010-04-05 Wolfgang Hollik , Elisabeth Kraus , Markus Roth , Christian Rupp , Klaus Sibold , Dominik Stöckinger

We study the renormalization group flow of $\mathbb{Z}_2$-invariant supersymmetric and non-supersymmetric scalar models in the local potential approximation using functional renormalization group methods. We focus our attention to the fixed…

High Energy Physics - Theory · Physics 2015-10-28 Tobias Hellwig , Andreas Wipf , Omar Zanusso

We apply the harmonic superspace approach for calculating the divergent part of the one-loop effective action of $6D$, ${\cal N}=(1,0)$ supersymmetric higher-derivative gauge theory with a dimensionless coupling constant. Our consideration…

High Energy Physics - Theory · Physics 2020-08-05 I. L. Buchbinder , E. A. Ivanov , B. S. Merzlikin , K. V. Stepanyantz

We propose a direct correspondence between the classical evolution equations of 5-d supergravity and the renormalization group (RG) equations of the dual 4-d large $N$ gauge theory. Using standard Hamilton-Jacobi theory, we derive first…

High Energy Physics - Theory · Physics 2009-10-31 J. de Boer , E. Verlinde , H. Verlinde

We consider the renormalisation of a softly-broken supersymmetric theory with singlet fields and a superpotential with a linear term. We show that there exist exact beta-functions for both the linear term in the superpotential and the…

High Energy Physics - Phenomenology · Physics 2009-11-07 I. Jack , D. R. T. Jones , R. Wild

It is well known that in low energy supersymmetry the ratio of the gaugino mass to the gauge coupling squared, M/alpha, is renormalization group invariant to one-loop. We present a systematic analysis of the corrections to this ratio,…

High Energy Physics - Phenomenology · Physics 2009-10-31 Graham D. Kribs
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