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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 investigate the Higgs-Yukawa system with Majorana masses of a fermion within asymptotically safe quantum gravity. Using the functional renormalization group method we derive the beta functions of the Majorana masses and the Yukawa…

High Energy Physics - Theory · Physics 2019-09-17 Gustavo P. de Brito , Yuta Hamada , Antonio D. Pereira , Masatoshi Yamada

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 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 investigate the compatibility of minimally coupled scalar, fermion and gauge fields with asymptotically safe quantum gravity, using nonperturbative functional Renormalization Group methods. We study d=4,5 and 6 dimensions and within…

High Energy Physics - Theory · Physics 2024-02-27 Pietro Donà , Astrid Eichhorn , Roberto Percacci

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

We explore whether perturbative interacting fixed points in matter systems can persist under the impact of quantum gravity. We first focus on semi-simple gauge theories and show that the leading order gravity contribution evaluated within…

High Energy Physics - Theory · Physics 2017-10-18 Nicolai Christiansen , Astrid Eichhorn , Aaron Held

We investigate the non-perturbative renormalization group behavior of the gauge coupling constant using a truncated form of the functional flow equation for the effective average action of the Yang-Mills-gravity system. We find a non-zero…

High Energy Physics - Theory · Physics 2015-05-14 Jan-Eric Daum , Ulrich Harst , Martin Reuter

We discuss the non-perturbative renormalization group evolution of the gauge coupling constant by using a truncated form of the functional flow equation for the effective average action of the Yang-Mills-gravity system. Our result is…

High Energy Physics - Theory · Physics 2015-05-18 J. -E. Daum , U. Harst , M. Reuter

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

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

We study possible hints towards confinement in a Z$_2$-invariant Yukawa system with massless fermions and a real scalar field in the strongly-coupled regime. Using the tools developed for studying non-perturbative physics via Jacobi…

High Energy Physics - Theory · Physics 2024-10-25 Marco Frasca , Anish Ghoshal

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

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

Functional Renormalisation Group (FRG) equations are constructed for a simple Yukawa-model with discrete chiral symmetry, including also the effect of a nonzero composite fermion background beyond the conventional scalar condensate. The…

High Energy Physics - Theory · Physics 2016-12-15 A. Jakovac , I. Kaposvari , A. Patkos

We write down the renormalization-group equations for the Yukawa-coupling matrices in a general multi-Higgs-doublet model. We then assume that the matrices of the Yukawa couplings of the various Higgs doublets to right-handed fermions of…

High Energy Physics - Phenomenology · Physics 2014-11-20 P. M. Ferreira , L. Lavoura , Joao P. Silva

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

We explore the Renormalization Group flow of massive uncharged fermions -- a candidate for dark matter -- coupled to a scalar field through a Higgs portal. We find that fermionic fluctuations can lower the bound on the scalar mass that…

High Energy Physics - Phenomenology · Physics 2018-09-26 Astrid Eichhorn , Aaron Held , Peter Vander Griend

Within the functional renormalization group approach we study the effective QFT of Einstein gravity and one self-interacting scalar coupled to N_f Dirac fermions. We include in our analysis the matter anomalous dimensions induced by all the…

High Energy Physics - Theory · Physics 2010-12-28 G. P. Vacca , O. Zanusso

In the leading order of a modified 1/Nc expansion, we show that a class of gauge-Higgs-Yukawa systems in four dimensions give non-trivial and well-defined theories in the continuum limit. The renormalized Yukawa coupling y and the quartic…

High Energy Physics - Phenomenology · Physics 2017-02-01 M. Harada , Y. Kikukawa , T. Kugo , H. Nakano
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