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We present a renormalizability proof for spontaneously broken SU(2) gauge theory based on Flow Equations. It is a conceptually and technically simplified version of the earlier paper [KM] including some extensions. The proof of [KM] also…

Mathematical Physics · Physics 2015-05-13 Christoph Kopper , Volkhard F. Müller

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 present the complete 2-loop renormalisation group equations of the superpotential parameters for the supersymmetric standard model including the full set of R-parity violating couplings. We use these equations to do a study of (a) gauge…

High Energy Physics - Phenomenology · Physics 2014-11-17 B. C. Allanach , A. Dedes , H. K. Dreiner

We study the renormalization group flow of higher derivative gravity, utilizing the functional renormalization group equation for the average action. Employing a recently proposed algorithm, termed the universal renormalization group…

High Energy Physics - Theory · Physics 2012-02-29 F. Saueressig , K. Groh , S. Rechenberger , O. Zanusso

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

We present a minimal version for the renormalization of softly broken Super-Yang-Mills theories using the extended model with a local gauge coupling. It is shown that the non-renormalization theorems of the case with unbroken supersymmetry…

High Energy Physics - Phenomenology · Physics 2009-11-07 Elisabeth Kraus , Dominik Stöckinger

The phases in a generic low-energy supersymmetric model are severely constrained by the experimental upper bounds on the electric dipole moments of the electron and the neutron. Coupled with the requirement of radiative electroweak symmetry…

High Energy Physics - Phenomenology · Physics 2014-11-18 Utpal Chattopadhyay , Debajyoti Choudhury , Debottam Das

We examine the (softly broken) supersymmetric gauge-Higgs-Yukawa theories satisfying the compositeness conditions at a certain scale. In these theories the Higgs superfields can be regarded as the chiral composite fields. It is found that…

High Energy Physics - Phenomenology · Physics 2009-10-31 Tatsuo Kobayashi , Haruhiko Terao

We study one loop corrections to $N=\frac{1}{2}$ supersymmetric $SU(N)\times U(1)$ pure gauge theory. We calculate divergent contributions of the 1PI graphs contain the non-anti-commutative parameter $C$ up to one loop corrections. We find…

High Energy Physics - Theory · Physics 2015-06-18 A. F. Kord , M. Haddadi Moghaddam

We discuss structural aspects of the functional renormalisation group. Flows for a general class of correlation functions are derived, and it is shown how symmetry relations of the underlying theory are lifted to the regularised theory. A…

High Energy Physics - Theory · Physics 2010-04-06 Jan M. Pawlowski

The renormalization procedure of the non-linear SU(2) sigma model in D=4 proposed in hep-th/0504023 and hep-th/0506220 is here tested in a truly non-trivial case where the non-linearity of the functional equation is crucial. The simplest…

High Energy Physics - Theory · Physics 2009-11-11 Ruggero Ferrari , Andrea Quadri

One possibility for Beyond Standard Model physics is a new strongly-interacting gauge theory. One way to determine if a non-abelian gauge theory is QCD-like or conformal is to measure the running of the renormalized gauge coupling. We…

High Energy Physics - Lattice · Physics 2010-11-05 Zoltan Fodor , Kieran Holland , Julius Kuti , Daniel Nogradi , Chris Schroeder

The aim of these lectures is to describe a construction, as self-contained as possible, of renormalized gauge theories. Following a suggestion of Polchinski, we base our analysis on the Wilson renormalization group method. After a…

High Energy Physics - Theory · Physics 2007-05-23 Carlo Becchi

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…

A new class of renormalizable gauges is introduced that is particularly well suited to compute effective potentials in spontaneously broken gauge theories. It allows one to keep free gauge parameters when computing the effective potential…

High Energy Physics - Phenomenology · Physics 2009-10-22 Boris Kastening

Some recent all-loop results on the renormalization of supersymmetric theories are summarized and reviewed. In particular, we discuss how it is possible to construct expressions which do not receive quantum corrections in all orders for…

High Energy Physics - Theory · Physics 2025-12-30 Konstantin Stepanyantz

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 linear realization of a model of dynamical electroweak symmetry breaking describing additional heavy vector bosons is proposed. The model is a SU(2)_L x U(1) x SU(2)_L' x SU(2)_R' gauge theory, breaking at some high scale u to SU(2)_weak…

High Energy Physics - Phenomenology · Physics 2009-10-30 R. Casalbuoni , S. De Curtis , D. Dominici , M. Grazzini

We consider the renormalisation of the Fayet-Iliopoulos D-term in a softly-broken abelian supersymmetric theory, and calculate the associated beta-function through three loops. We show that there exists (at least through three loops) a…

High Energy Physics - Phenomenology · Physics 2009-10-31 I. Jack , D. R. T. Jones , S. Parsons

We show that the renormalisation of the N=1 supersymmetric gauge theory when working in the component formalism, without eliminating auxiliary fields and using a standard covariant gauge, requires a non-linear renormalisation of the…

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