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Related papers: An asymptotic-safety mechanism for chiral Yukawa s…

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We search for asymptotic safety in a Yukawa system with a chiral $U(N_L)_L\otimes U(1)_R$ symmetry, serving as a toy model for the standard-model Higgs sector. Using the functional RG as a nonperturbative tool, the leading-order derivative…

High Energy Physics - Theory · Physics 2014-11-20 Holger Gies , Stefan Rechenberger , Michael M. Scherer

We study the triviality and hierarchy problem of a Z_2-invariant Yukawa system with massless fermions and a real scalar field, serving as a toy model for the standard-model Higgs sector. Using the functional RG, we look for UV stable fixed…

High Energy Physics - Theory · Physics 2014-11-18 Holger Gies , Michael M. Scherer

We investigate chiral Higgs-Yukawa models with a non-abelian gauged left-handed sector reminiscent to a sub-sector of the standard model. We discover a new weak-coupling fixed-point behavior that allows for ultraviolet complete RG…

High Energy Physics - Theory · Physics 2015-06-16 Holger Gies , Stefan Rechenberger , Michael M. Scherer , Luca Zambelli

Asymptotic safety generalizes asymptotic freedom and could contribute to understanding physics beyond the Standard Model. It is a candidate scenario to provide an ultraviolet extension for the effective quantum field theory of gravity…

High Energy Physics - Theory · Physics 2019-02-22 Astrid Eichhorn

It was recently shown that certain perturbatively accessible, non-supersymmetric gauge-Yukawa theories have UV asymptotic safety, without asymptotic freedom: the UV theory is an interacting RG fixed point, and the IR theory is free. We here…

High Energy Physics - Theory · Physics 2015-11-13 Kenneth Intriligator , Francesco Sannino

We consider theories with a large number $N_F$ of charged fermions and compute the renormalisation group equations for the gauge, Yukawa and quartic couplings resummed at leading order in $1/N_F$. We construct extensions of the Standard…

High Energy Physics - Phenomenology · Physics 2018-05-23 Giulio Maria Pelaggi , Alexis D. Plascencia , Alberto Salvio , Francesco Sannino , Juri Smirnov , Alessandro Strumia

We study asymptotic safety of models of the higher derivative quantum gravity with and without matter. The beta functions are derived by utilizing the functional renormalization group, and non-trivial fixed points are found. It turns out…

High Energy Physics - Theory · Physics 2017-08-22 Yuta Hamada , Masatoshi Yamada

We extend the list of theories featuring a rigorous interacting ultraviolet fixed point by constructing the first theory featuring a Higgs-like scalar with gauge, Yukawa and quartic interactions. We show that the theory enters a…

High Energy Physics - Phenomenology · Physics 2017-09-28 Giulio Maria Pelaggi , Francesco Sannino , Alessandro Strumia , Elena Vigiani

We minimally extend the Standard Model field content by adding new vector-like fermions at the TeV scale to allow gauge coupling unification at a realistic scale. We embed the model into a $SU(5)$ grand unified theory that is asymptotically…

High Energy Physics - Phenomenology · Physics 2021-06-02 M. Fabbrichesi , C. M. Nieto , A. Tonero , A. Ugolotti

We consider the implications of asymptotic safety on two U(1) gauge extensions of the standard model that are minimal in the sense that anomaly cancellation only requires the presence of right-handed neutrinos. We study the UV fixed points…

High Energy Physics - Phenomenology · Physics 2025-12-16 Christopher D. Carone

Asymptotic safety is a remarkable example when fruitful ideas borrowed from statistical physics proliferate to high-energy physics. The concept of asymptotic safety is tightly connected to fixed points (FPs) of the renormalization-group…

High Energy Physics - Phenomenology · Physics 2023-09-18 Alexander Bednyakov , Alfiia Mukhaeva

We combine the notion of asymptotic safety (AS) with conformal invariance in a hidden sector beyond the Standard Model. We use the renormalization group (RG) equations as a bridge to connect UV boundary conditions and EW/TeV scale physics…

High Energy Physics - Phenomenology · Physics 2018-08-02 Zhi-Wei Wang , Frederick S. Sage , T. G. Steele , R. B. Mann

In gauge-Yukawa systems embedded in the framework of trans-Planckian asymptotic safety we discuss the dynamical generation of arbitrarily small Yukawa couplings driven by the presence of a non-interactive infrared-attractive fixed point in…

High Energy Physics - Phenomenology · Physics 2022-08-30 Kamila Kowalska , Soumita Pramanick , Enrico Maria Sessolo

We present a comprehensive non-perturbative study of the phase structure of the asymptotically safe Standard Model. The physics scales included range from the asymptotically safe trans-Planckian regime in the ultraviolet, the intermediate…

High Energy Physics - Theory · Physics 2023-09-20 Álvaro Pastor-Gutiérrez , Jan M. Pawlowski , Manuel Reichert

Building on recent advances in the understanding of gauge-Yukawa theories we explore possibilities to UV-complete the Standard Model in an asymptotically safe manner. Minimal extensions are based on a large flavor sector of additional…

High Energy Physics - Phenomenology · Physics 2018-02-23 Andrew D. Bond , Gudrun Hiller , Kamila Kowalska , Daniel F. Litim

A phenomenologically viable theory of quantum gravity must accommodate all observed matter degrees of freedom and their properties. Here, we explore whether a toy model of the Higgs-Yukawa sector of the Standard Model is compatible with…

High Energy Physics - Theory · Physics 2016-11-15 Astrid Eichhorn , Aaron Held , Jan M. Pawlowski

We use the Gross-Neveu model in 2<d<4 as a simple fermionic example for Weinberg's asymptotic safety scenario: despite being perturbatively nonrenormalizable, the model defines an interacting quantum field theory being valid to arbitrarily…

High Energy Physics - Theory · Physics 2011-04-22 Jens Braun , Holger Gies , Daniel D. Scherer

We unveil the dynamics of four dimensional chiral gauge-Yukawa theories featuring several scalar degrees of freedom transforming according to distinct representations of the underlying gauge group. We consider generalized Georgi-Glashow and…

High Energy Physics - Phenomenology · Physics 2017-09-20 Esben Molgaard , Francesco Sannino

We study the fixed point structure of the Higgs-Yukawa model, with its scalar being non-minimally coupled to the asymptotically safe gravity, using the functional renormalization group. We have obtained the renormalization group equations…

High Energy Physics - Theory · Physics 2017-05-16 Kin-ya Oda , Masatoshi Yamada

We present the first complete next-to-leading-order analysis of a Yukawa system within the framework of asymptotically safe quantum gravity. Our results are obtained through a systematic resummation of higher-order operators, revealing two…

High Energy Physics - Theory · Physics 2025-10-13 Gustavo P. de Brito , Manuel Reichert , Marc Schiffer
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