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We show that the noncommutative Wess-Zumino model is renormalizable to all orders of perturbation theory. The noncommutative scalar potential by itself is non-renormalizable but the Yukawa terms demanded by supersymmetry improve the…

High Energy Physics - Theory · Physics 2009-10-31 H. O. Girotti , M. Gomes , V. O. Rivelles , A. J. da Silva

We compare theoretical and experimental predictions of two main classes of models addressing fermion mass hierarchies and flavour changing neutral currents (FCNC) effects in supersymmetry: Froggatt-Nielsen (FN) U(1) gauged flavour models…

High Energy Physics - Phenomenology · Physics 2010-12-09 Emilian Dudas , Gero von Gersdorff , Jeanne Parmentier , Stefan Pokorski

In this paper, we study the quantum behavior of the noncommutative Jackiw-Pi model. After establishing the Becchi-Rouet-Store-Tyutin (BRST) invariant action, the perturbative renormalizability is discussed, allowing us to introduce the…

High Energy Physics - Theory · Physics 2018-06-15 R. Bufalo , M. Ghasemkhani , M. Alipour

In this article we explore the R-symmetry of the (2,2) 2d Wess-Zumino model. We study whether or not this symmetry is approximately realized in the Q-exact lattice version of this theory. Our study is nonperturbative: it relies on Monte…

High Energy Physics - Lattice · Physics 2010-04-05 Joel Giedt

We compute the renormalization functions on the lattice, in the RI' scheme, of local bilinear quark operators $\bar{\psi}\Gamma\psi$, where $\Gamma= 1, \gamma_5, \gamma_\mu, \gamma_5\gamma_\mu, \gamma_5\sigma_{\mu\nu}$. This calculation is…

High Energy Physics - Lattice · Physics 2010-02-19 A. Skouroupathis , H. Panagopoulos

We analyze renormalizability properties of noncommutative (NC) theories with a bifermionic NC parameter. We introduce a new 4-dimensional scalar field model which is renormalizable at all orders of the loop expansion. We show that this…

High Energy Physics - Theory · Physics 2008-11-26 R. Fresneda , D. M. Gitman , D. V. Vassilevich

For arbitrary four-dimensional quantum field theories with scalars and fermions, renormalisation group equations in the $\overline{\text{MS}}$ scheme are investigated at three-loop order in perturbation theory. Collecting literature…

High Energy Physics - Theory · Physics 2021-11-09 Tom Steudtner

We construct Feynman rules and Supergraphs in SIM(2) superspace. To test our methods we perform a one-loop calculation of the effective action of the SIM(2) supersymmetric Wess-Zumino model including a term which explicitly breaks Lorentz…

High Energy Physics - Theory · Physics 2011-07-14 Stanislav Petráš , Rikard von Unge , Jiří Vohánka

Dynamical supersymmetry breaking is an important issue for applications of supersymmetry in particle physics. The functional renormalization group equations allow for a nonperturbative approach that leaves supersymmetry intact. Therefore…

High Energy Physics - Theory · Physics 2015-05-14 Franziska Synatschke , Holger Gies , Andreas Wipf

In this work we propose a renormalizable model based on the $SU(5)$ gauge group where neutrino mass originates at the two-loop level without extending the fermionic content of the Standard Model (SM). Unlike the conventional $SU(5)$ models,…

High Energy Physics - Phenomenology · Physics 2019-06-19 Shaikh Saad

We study systematically, through two loops, the divergence structure of the supersymmetric WZ model defined on the N=1/2 nonanticommutative superspace. By introducing a spurion field to represent the supersymmetry breaking term F^3 we are…

High Energy Physics - Theory · Physics 2009-11-10 Marcus T. Grisaru , Silvia Penati , Alberto Romagnoni

The non-commutative Wess-Zumino model is used as a prototype for studying the low energy behaviour of a renormalizable non-commutative field theory. We start by deriving the potential mediating the fermion-fermion and boson-boson…

High Energy Physics - Theory · Physics 2009-11-07 H. O. Girotti , Marcelo Gomes , A. Y. Petrov , Victor O. Rivelles , A. J. da Silva

We calculate the renormalisation group running of the bosonic Standard Model (SM) effective operators at one loop and to order $v^4/\Lambda^4$, with $v\sim 246$ GeV being the electroweak scale and $\Lambda$ the unknown new physics…

High Energy Physics - Phenomenology · Physics 2023-09-29 Supratim Das Bakshi , Mikael Chala , Álvaro Díaz-Carmona , Guilherme Guedes

Quasi-realistic string models in the free fermionic formulation typically contain an anomalous U(1), which gives rise to a Fayet-Iliopoulos D-term that breaks supersymmetry at the one--loop level in string perturbation theory. Supersymmetry…

High Energy Physics - Theory · Physics 2008-11-26 Gerald B. Cleaver , Alon E. Faraggi , Elisa Manno , Cristina Timirgaziu

We present analytical results at four-loop level for the renormalization constants and anomalous dimensions of an extended QCD model with one coupling constant and an arbitrary number of fermion representations. One example of such a model…

High Energy Physics - Phenomenology · Physics 2017-07-25 K. G. Chetyrkin , M. F. Zoller

We study the Minimal Supersymmetric Standard Model with Minimal Flavour Violation for the case of a large parameter tanbeta and arbitrary values of the supersymmetric mass parameters. We derive several resummation formulae for…

High Energy Physics - Phenomenology · Physics 2010-04-30 Lars Hofer , Ulrich Nierste , Dominik Scherer

We classify the unitary, renormalizable, Lorentz violating quantum field theories of interacting scalars and fermions, obtained improving the behavior of Feynman diagrams by means of higher space derivatives. Higher time derivatives are not…

High Energy Physics - Theory · Physics 2008-11-26 Damiano Anselmi , Milenko Halat

We investigate SUSY of Wess-Zumino models in non(anti-)commutative Euclidean superspaces. Non(anti-)commutative deformations break 1/2 SUSY, then non(anti-)commutative Wess-Zumino models do not have full SUSY in general. However, we can…

High Energy Physics - Theory · Physics 2016-09-06 Akifumi Sako , Toshiya Suzuki

Recent studies of the $AdS_4/CFT_3$ correspondence involve the construction of a peculiar supersymmetric gauge theory on the worldvolume of multiple M2s branes as a boundary field theory. Under suitable conditions the quantum theory becomes…

High Energy Physics - Theory · Physics 2011-06-28 Sendic Estrada-Jimenez , Hugo Garcia-Compean

We consider a mixed system of Dirac fermions in a general parity-nonconserving theory and renormalize the propagator matrix to all orders in the pole scheme, in which the squares of the renormalized masses are identified with the complex…

High Energy Physics - Phenomenology · Physics 2014-07-22 Bernd A. Kniehl