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We calculate the three loop anomalous dimension for a general $N=1$ supersymmetric gauge theory. The result is used to probe the possible existence of renormalisation invariant relationships between the Yukawa and gauge couplings.

High Energy Physics - Phenomenology · Physics 2008-11-26 I. Jack , D. R. T. Jones , C. G. North

The complete one-loop radiative corrections to third generation scalar fermions into gauge bosons Z and W^\pm is considered. We focus on \wt{f}_2 \to Z \wt{f}_1 and \wt{f}_i \to W^\pm \wt{f'}_j (f,f'=t,b). We include both SUSY-QCD, QED and…

High Energy Physics - Phenomenology · Physics 2011-03-23 Abdesslam Arhrib , Rachid Benbrik

An estimate of the one-loop correction to the power spectrum of the primordial curvature perturbation is given, assuming it is generated during a phase of single-field, slow-roll inflation. The loop correction splits into two parts, which…

Astrophysics · Physics 2010-02-09 David Seery

We study radiative corrections to third generation scalar fermions into gauge bosons $Z$ and $W^\pm$. We include both SUSY-QCD, QED and full electroweak corrections. It is found that the electroweak corrections can be of the same order as…

High Energy Physics - Phenomenology · Physics 2008-11-26 Abdesslam Arhrib , Rachid Benbrik

We present a complete one-loop analysis of the four nucleon spin polarizabilities in the framework of heavy baryon chiral perturbation theory. The first non-vanishing contributions to the isovector and first corrections to the isoscalar…

Nuclear Theory · Physics 2009-11-06 George C. Gellas , Thomas R. Hemmert , Ulf-G. Meißner

In this paper we compute one-loop corrections to masses and couplings in the minimal supersymmetric standard model. We present explicit formulae for the complete corrections and a set of compact approximations which hold over the unified…

High Energy Physics - Phenomenology · Physics 2009-03-12 Damien M. Pierce , Jonathan A. Bagger , Konstantin T. Matchev , Ren-Jie Zhang

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

We consider a generic class of effective quantum field theories with arbitrary gauge groups and scalar matter fields. In such theories, we derive the one-loop Renormalization Group Equations (RGEs) for the physical dimension-six operators.…

High Energy Physics - Phenomenology · Physics 2025-03-25 Mikołaj Misiak , Ignacy Nałęcz

We construct the path integral for one-dimensional non-linear sigma models, starting from a given Hamiltonian operator and states in a Hilbert space. By explicit evaluation of the discretized propagators and vertices we find the correct…

High Energy Physics - Theory · Physics 2009-10-28 Jan de Boer , Bas Peeters , Kostas Skenderis , Peter van Nieuwenhuizen

We generalise the reconstruction theorem of Stern, Sazdjian, and Fuchs based on the dispersion relations to the case of the (2 -> 2) scattering of all the pseudoscalar octet mesons (pi, K, eta). We formulate it in a general way and include…

High Energy Physics - Phenomenology · Physics 2008-12-30 M. Zdrahal , J. Novotny

We determine the anomaly associated to an arbitrary scaling of the fields in a quantum gauge theory without making use of the Fujikawa method. We show that this anomaly is dependent on the spin term present in the action and at one loop can…

High Energy Physics - Theory · Physics 2020-02-26 Renata Jora

We study the one-loop quantum corrections for higher-derivative superfield theories, generalizing the approach for calculating the superfield effective potential. In particular, we calculate the effective potential for two versions of…

High Energy Physics - Theory · Physics 2009-11-23 M. Gomes , J. R. Nascimento , A. Yu. Petrov , A. J. da Silva

In this contribution we consider the recent computation of the gauge coupling $\beta$-function at four loops and the Yukawa matrix $\beta$-function at three loops in the most general, renormalizable and four-dimensional quantum field…

High Energy Physics - Phenomenology · Physics 2021-10-15 Florian Herren

We calculate one-loop quantum energies in a renormalizable self-interacting theory in one spatial dimension by summing the zero-point energies of small oscillations around a classical field configuration, which need not be a solution of the…

High Energy Physics - Theory · Physics 2009-10-31 N. Graham , R. L. Jaffe

We present a new group-theoretical technique to calculate weak field expansions for some Feynman diagrams using invariant polynomials of the dihedral group. In particular we show results obtained for the first coefficients of the three loop…

High Energy Physics - Theory · Physics 2019-06-05 Idrish Huet , Michel Rausch de Traubenberg , Christian Schubert

We show how to compute loop graphs in heavy baryon chiral perturbation theory including the full functional dependence on the ratio of the Delta--nucleon mass difference to the pion mass, while at the same time automatically incorporating…

High Energy Physics - Phenomenology · Physics 2008-11-26 Ruben Flores-Mendieta , Christoph P. Hofmann , Elizabeth Jenkins , Aneesh V. Manohar

We present the full one-loop corrections to charged and CP-even neutral Higgs boson decays into sfermions including also the crossed channels. The calculation was carried out in the minimal supersymmetric extension of the Standard Model and…

High Energy Physics - Phenomenology · Physics 2008-11-26 C. Weber , K. Kovarik , H. Eberl , W. Majerotto

The loop expansion is applied to a chiral effective hadronic lagrangian; with the techniques of Infrared Regularization, it is possible to separate out the short-range contributions and to write them as local products of fields that are…

Nuclear Theory · Physics 2008-11-26 Jeff McIntire , Ying Hu , Brian D. Serot

In this work we present the computation of the one-loop electroweak radiative corrections to the scattering process $WW\to HH$ within the context of the Higgs Effective Field Theory (HEFT). We assume that the fermionic interactions are like…

High Energy Physics - Phenomenology · Physics 2024-05-13 M. J. Herrero , R. A. Morales

We present four-loop results for the gauge beta-function and the fermion mass anomalous dimension for a gauge theory with a general gauge group and a multiplet of fermions transforming according to an arbitrary representation, calculated…

High Energy Physics - Theory · Physics 2009-11-18 Ian Jack , D. R. Timothy Jones , Philipp Kant , Luminita Mihaila