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The noncommutative selfdual \phi^3 model in 6 dimensions is quantized and essentially solved, by mapping it to the Kontsevich model. The model is shown to be renormalizable and asymptotically free, and solvable genus by genus. It requires…

High Energy Physics - Theory · Physics 2009-03-16 Harald Grosse , Harold Steinacker

We report about the computation of three-loop corrections to the gauge coupling beta functions in the Standard Model.

High Energy Physics - Phenomenology · Physics 2012-09-26 Luminita Mihaila , Jens Salomon , Matthias Steinhauser

The common lore dictates that extra dimensional theories loose predictive power at energies just above the compatification scale, due to the power-law running of bulk coupling. We show that five-dimensional gauge-Yukawa theories can be…

High Energy Physics - Theory · Physics 2026-01-05 Giacomo Cacciapaglia , Wanda Isnard , Roman Pasechnik , Anca Preda

We perform a systematic one-loop renormalization to the standard model with a nonlinearly realized Higgs boson field and the electroweak chiral Lagrangian up to $O(p^2)$ order. We find even in the nonlinear form, the Higgs model of the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Qi-Shu Yan

A global connection on the Connes Marcolli renormalization bundle relates $\beta$-functions of a class of regularization schemes by gauge transformations, as well as local solutions to $\beta$-functions over curved space-time.

Mathematical Physics · Physics 2012-11-20 Susama Agarwala

We introduce a way of implementing Wilson renormalization within the context of the theory of effective Hamiltonians. Our renormalization scheme involves manipulations at the level of the generalized $G$--matrix and is independent of any…

High Energy Physics - Phenomenology · Physics 2015-06-25 T. J. Fields , K. S. Gupta , J. P. Vary

Some aspects of finite quantum field theories in 3+1 dimensions are discussed. A model with non--supersymmetric particle content and vanishing one-- and two--loop beta functions for the gauge coupling and one--loop beta functions for…

High Energy Physics - Theory · Physics 2015-06-26 Harald Skarke

We compute one-loop and two-loop beta-functions for vacuum expectation values (VEVs) in gauge theories. In R_xi gauge the VEVs renormalize differently from the respective scalar fields. We focus particularly on the origin and behavior of…

High Energy Physics - Phenomenology · Physics 2013-10-09 Marcus Sperling , Dominik Stöckinger , Alexander Voigt

We perform a systematic one-loop renormalization of a general renormalizable Yang-Mills theory coupled to scalars and fermions using a regularization scheme with a smooth momentum cutoff $\Lambda$ (implemented through an exponential damping…

High Energy Physics - Phenomenology · Physics 2016-12-21 Piotr H. Chankowski , Adrian Lewandowski , Krzysztof A. Meissner

Starting from a consistency requirement between T-duality symmetry and renormalization group flows, the two-loop metric beta function is found for a d=2 bosonic sigma model on a generic, torsionless background. The result is obtained…

High Energy Physics - Theory · Physics 2009-10-30 Peter E. Haagensen , Kasper Olsen , Ricardo Schiappa

The Standard MS renormalization prescription is inadequate for dealing with multi-scale problems. To illustrate this we consider the computation of the effective potential in the Higgs-Yukawa model. It is argued that it is natural to employ…

High Energy Physics - Theory · Physics 2009-10-30 C. Ford , C. Wiesendanger

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 present a new version of PyR@TE, a Python tool for the computation of renormalization group equations for general, non-supersymmetric gauge theories. Its new core relies on a recent paper by Poole & Thomsen (arXiv:1906.04625) to compute…

High Energy Physics - Phenomenology · Physics 2021-01-14 Lohan Sartore , Ingo Schienbein

We consider the one-loop renormalization of a real scalar field interacting with a Dirac spinor field in curved spacetime. A general Yukawa interaction is considered which includes both a scalar and a pseudoscalar coupling. The scalar field…

High Energy Physics - Theory · Physics 2018-07-04 David J. Toms

We consider gauge coupling unification in Lee-Wick extensions of the Standard Model that include higher-derivative quadratic terms beyond the minimally required set. We determine how the beta functions are modified when some Standard Model…

High Energy Physics - Phenomenology · Physics 2015-05-13 Christopher D. Carone

Double sigma model with the strong constraints is equivalent to the normal sigma model by imposing the self-duality relation. The gauge symmetries are the diffeomorphism and one-form gauge transformation with the strong constraints. We…

High Energy Physics - Theory · Physics 2015-12-09 Chen-Te Ma

In this paper we apply the Functional Renormalization Group Equation (FRGE) to the non-commutative scalar field theory proposed by Grosse and Wulkenhaar. We derive the flow equation in the matrix representation and discuss the theory space…

High Energy Physics - Theory · Physics 2011-09-19 Tim A. Koslowski , Alessandro Sfondrini

The quantum action for a three-dimensional real sextic model using the background field method is considered. Four-loop renormalization of this model is performed with a cutoff regularization in the coordinate representation. The…

High Energy Physics - Theory · Physics 2025-04-11 N. V. Kharuk

In this article we consider theta-expanded noncommutative gauge field theory, constructed at the first order in noncommutative parameter theta, as an effective, anomaly free theory, with one-loop renormalizable gauge sector. Related…

High Energy Physics - Phenomenology · Physics 2008-11-26 Josip Trampetic

We show that it is possible to find an extension of the matter content of the standard model with a unification of gauge and Yukawa couplings reproducing their known values. The perturbative renormalizability of the model with a single…

High Energy Physics - Phenomenology · Physics 2009-10-30 Mario Atance , Jose Luis Cortes , Igor G. Irastorza