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We compute the two-loop renormalization group equations for all soft supersymmetry-breaking couplings in a general softly broken N=1 supersymmetric model. We also specialize these results to the Minimal Supersymmetric Standard Model.

High Energy Physics - Phenomenology · Physics 2014-11-17 Stephen P. Martin , Michael T. Vaughn

In supersymmetric quantum electrodynamics there is the exact relation between the expressed through the unrenormalized coupling gauge beta-function and the anomalous dimension of matter superfields. In the present report we describe the…

High Energy Physics - Theory · Physics 2019-12-30 I. O. Goriachuk , A. L. Kataev

We study duality in $\mathcal{N}=1$ supersymmetric QCD in the non-Abelian Coulomb phase, order-by-order in scheme-independent series expansions. Using exact results, we show how the dimensions of various fundamental and composite chiral…

High Energy Physics - Theory · Physics 2018-04-04 Thomas A. Ryttov , Robert Shrock

We investigate the one-loop renormalisability of a general N=1/2 supersymmetric gauge theory coupled to chiral matter, and show the existence of an N=1/2 supersymmetric SU(N)xU(1) theory which is renormalisable at one loop.

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

The possible local counterterms to supergravity are investigated to all loop orders. Supersymmetry implies that (1) supergravity-matter coupling is one-loop nonrenormalizable, with a specific counterterm; (2) pure supergravity is…

High Energy Physics - Theory · Physics 2015-06-12 S. Deser , J. H. Kay , K. S. Stelle

The fourth derivative models for two dimensional gravity are shown to be equivalent to the special version of the nonlinear sigma models coupled to 2d quantum gravity. The reduction consists in the introduction of the auxiliary scalar…

High Energy Physics - Theory · Physics 2016-09-06 I. L. Shapiro

Investigating quantum effects arising from high loops in perturbation theory is crucial for the physical applications of any quantum field theory. This paper presents a comprehensive analysis of the two-loop renormalization of CPT-even…

High Energy Physics - Theory · Physics 2024-01-30 L. C. T. Brito , J. C. C. Felipe , A. C. Lehum , A. Yu. Petrov

The problem of renormalization of the semiclassical one-loop equations used in the non-equilibrium field theory is considered. Recently, the renormalizability of such equations has been justified for some special cases of classical field…

High Energy Physics - Theory · Physics 2008-11-26 O. Yu. Shvedov

The behaviour of the photon renormalization function in strong coupling QED has been recently studied by Kondo, Mino and Nakatani. We find that the sharp decrease in its behaviour at intermediate photon momenta is an artefact of the method…

High Energy Physics - Phenomenology · Physics 2009-01-14 J. C. R. Bloch , M. R. Pennington

We review the techniques used to renormalize quantum field theories at several loop orders. This includes the techniques to systematically extract the infinities in a Feynman integral and the implementation of the algorithm within computer…

High Energy Physics - Theory · Physics 2007-05-23 J. A. Gracey

For the general renormalizable ${\cal N}=1$ supersymmetric gauge theory we investigate renormalization of the Faddeev--Popov ghosts using the higher covariant derivative regularization. First, we find the two-loop anomalous dimension…

We study QED corrections to operator matrix elements involving heavy composite particles (e.g., heavy-mesons, nuclei, and atoms). We define a new notion of reducible and irreducible graphs which is useful for systems with many discrete…

High Energy Physics - Phenomenology · Physics 2025-09-19 Ryan Plestid , Mark B. Wise

High precision measurements at the linear collider will allow a model- independent reconstruction of nature at high energy scales. The method of bottom-up extrapolation from the electroweak scale to the GUT scale is explained and both a…

High Energy Physics - Phenomenology · Physics 2007-05-23 Grahame A. Blair

We classify the local, polynomial, unitary gauge theories that violate Lorentz symmetry explicitly at high energies and are renormalizable by weighted power counting. We study the structure of such theories and prove that renormalization…

High Energy Physics - Theory · Physics 2009-04-02 Damiano Anselmi

Under the assumption that all the gauge groups in supersymmetric theories unify at the fundamental scale, the numbers and the mass scales of messenger quarks and leptons, as well as the beta-function coefficient of the sector for dynamical…

High Energy Physics - Phenomenology · Physics 2009-10-30 Eung Jin Chun , Haewon Lee , Won Sik l'Yi

Using differential renormalization, we calculate the complete two-point function of the background gauge superfield in pure N=1 Supersymmetric Yang-Mills theory to two loops. Ultraviolet and (off-shell) infrared divergences are renormalized…

High Energy Physics - Theory · Physics 2009-11-07 J. Mas , M. Perez-Victoria , C. Seijas

Supersymmetric radiative corrections to the partial width $\Gamma (\tau \rightarrow e \nu \bar{\nu})$ and the masses of the $W$ and $Z$ gauge bosons are calculated in different renormalization schemes. The importance of the non-universal…

High Energy Physics - Phenomenology · Physics 2008-02-03 P. Gosdzinsky

Returning to the old problems in ordinary QED, by an appropriate extension of the dimensional regularization method in noncommutative space we try to provide a quite coherent look into NCQED.The renormalisation of theories, the $\beta$…

High Energy Physics - Theory · Physics 2007-05-23 Nguyen Tien Binh

The radiative frequency shift of superradiant exciton in a one-dimensional system is calculated. It is shown that a finite frequency shift can be obtained after proper renormalization. The value of the shift is inversely proportional to the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Yueh-Nan Chen , Der-San Chuu

We propose a regularization-independent method for studying a renormalizable field theory nonperturbatively through its Dyson-Schwinger equations. Using QED_4 as an example, we show how the coupled equations determining the nonperturbative…

High Energy Physics - Theory · Physics 2010-03-04 A. Kizilersu , A. W. Schreiber , A. G. Williams
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