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We derive the renormalization group equations for a generic nonrenormalizable theory. We show that the equations allow one to derive the structure of the leading divergences at any loop order in terms of one-loop diagrams only. In chiral…

High Energy Physics - Phenomenology · Physics 2009-11-10 Matthias Buchler , Gilberto Colangelo

It is well known that forward limits of tree-level amplitudes (and those trivalent diagrams they consist of) produce one-loop amplitudes and trivalent diagrams with propagators linear in the loop momentum. They naturally arise from one-loop…

High Energy Physics - Theory · Physics 2022-09-07 Bo Feng , Song He , Yong Zhang , Yao-Qi Zhang

We discuss renormalization of propagator of interacting Rarita--Schwinger field. Spin-3/2 contribution after renormalization takes usual resonance form. For non-leading spin-1/2 terms we found procedure, which guarantees absence of poles in…

High Energy Physics - Phenomenology · Physics 2008-11-26 A. E. Kaloshin , V. P. Lomov

We construct a superpotential for the general N=1/2 supersymmetric gauge theory coupled to chiral matter in the adjoint representation, and investigate the one-loop renormalisability of the theory.

High Energy Physics - Theory · Physics 2015-07-28 I. Jack , D. R. T. Jones , L. A. Worthy

We have recently completed the one loop calculation of meson-meson scattering within Chiral Perturbation Theory. Once unitarized, these amplitudes provide simultaneously a remarkable description of the resonance region up to 1.2 GeV as well…

High Energy Physics - Phenomenology · Physics 2009-11-10 J. R. Pelaez

In this paper, we study the three-dimensional noncommutative Maxwell-Chern-Simons theory. In the present analysis, a complete account for the gauge field two-point function renormalizability is presented and physical significant quantities…

High Energy Physics - Theory · Physics 2016-04-27 M. Ghasemkhani , R. Bufalo

In this paper the building blocks for the two-loop renormalization of the Standard Model are introduced with a comprehensive discussion of the special vertices induced in the Lagrangian by a particular diagonalization of the neutral sector…

High Energy Physics - Phenomenology · Physics 2008-11-26 S. Actis , A. Ferroglia , G. Passarino , M. Passera

Certain power-counting non-renormalizable theories, including the most general self-interacting scalar fields in four and three dimensions and fermions in two dimensions, have a simplified renormalization structure. For example, in…

High Energy Physics - Theory · Physics 2009-11-11 Damiano Anselmi

We study the one loop renormalization in the most general metric-dilaton theory with second derivative only. In constant background dilaton theory, there are two types of gravity background which enable the theory renormalizable at one-loop…

High Energy Physics - Theory · Physics 2010-11-19 Seiji Mukaigawa , Hiroyuki Takata

We analyze the constraints on the general form and the singularity structure of the correlation functions of the symmetric, traceless and conserved stress-energy tensor implied by conformal invariance and higher spin symmetry in four…

High Energy Physics - Theory · Physics 2015-06-16 Yassen S. Stanev

The study of renormalization of Yang-Mills fields in the light-front gauge has always been a delicate subject in that divergent {\em non-local} terms arise from the calculations of Feynman diagrams. In this short paper we show that this…

High Energy Physics - Theory · Physics 2011-05-26 Alfredo Takashi Suzuki

Using the effective potential, we study the one-loop renormalization of a massive self-interacting scalar field at finite temperature in flat manifolds with one or more compactified spatial dimensions. We prove that, owing to the…

High Energy Physics - Theory · Physics 2009-10-28 L. H. Ford , N. F. Svaiter

Using functional renormalization methods, we study the one-loop renormalization group evolution of theories with four scalars, at second order in the derivative expansion, in which electroweak symmetry is nonlinearly realized. In this…

High Energy Physics - Theory · Physics 2014-09-09 Mahmoud Safari

We discuss the far-from-equilibrium evolution of $\phi^3$-theory in $1+1$ dimensions with the temporal functional renormalisation group \cite{Gasenzer:2007za, Gasenzer:2010rq}. In particular, we show that this manifestly causal approach…

High Energy Physics - Theory · Physics 2021-07-08 Lukas Corell , Anton K. Cyrol , Markus Heller , Jan M. Pawlowski

We investigate the one-dimensional polaron problem and calculate the ground state energy and the effective mass. We use a real-time renormalization group method and compare our results with first and second order perturbation theory, with…

Statistical Mechanics · Physics 2009-10-31 Markus Keil , Herbert Schoeller

Antisymmetric tensor fields interacting with quarks and leptons have been proposed as a possible solution to the gauge hierarchy problem. We compute the one-loop beta function for a quartic self-interaction of the chiral antisymmetric…

High Energy Physics - Phenomenology · Physics 2009-01-06 Jan-Markus Schwindt , Christof Wetterich

We apply differential renormalization method to the study of three-dimensional topologically massive Yang-Mills and Chern-Simons theories. The method is especially suitable for such theories as it avoids the need for dimensional…

High Energy Physics - Theory · Physics 2016-08-24 W. F. Chen , H. C. Lee , Z. Y. Zhu

Preliminary investigations are made for the stability of the $1/N$ expansion in three-dimensional gravity coupled to various matter fields, which are power-counting renormalizable. For unitary matters, a tachyonic pole appears in the spin-2…

High Energy Physics - Theory · Physics 2009-10-22 Shun'ya Mizoguchi , Hisashi Yamamoto

Within the resonance chiral effective theory we study the dressed propagators of the spin-1 fields, as arise from a Dyson-Schwinger resummation perturbatively constructed from loop diagrams with absorptive contributions in the s-channel. We…

High Energy Physics - Phenomenology · Physics 2009-10-31 D. Gomez Dumm , A. Pich , J. Portoles

Effective potential for scalar $\lambda\phi^4$ theory is obtained using the exact renormalization group method which includes both the usual one-loop contribution as well as the dominant higher loop effects. Our numerical calculation…

High Energy Physics - Theory · Physics 2009-09-25 Sen-Ben Liao , Chengqian Gong