Non-minimal coupling in Higgs–Yukawa model with asymptotically safe gravity

Oda, Kin-ya; Yamada, Masatoshi

doi:10.1088/0264-9381/33/12/125011

Cited by 124 publications

(131 citation statements)

References 137 publications

(362 reference statements)

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“…Physically, marginal irrelevance means a growth of the coupling towards the ultraviolet. Asymptotically safe quantum gravity adds a contribution to the beta function of all matter couplings that is linear in the matter coupling [1,16,[33][34][35][36][37][38][39][40][41][42][43][44][45][46]. If the sign of the gravitational contribution is negative, a fundamental change is triggered in the high-energy behavior of the corresponding coupling: the UV-repulsive free fixed point is turned into a UV attractive fixed point.…”

Section: Jhep01(2018)030mentioning

confidence: 99%

Upper bound on the Abelian gauge coupling from asymptotic safety

Eichhorn

Versteegen

2018

J. High Energ. Phys.

119

167

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Abstract:We explore the impact of asymptotically safe quantum gravity on the Abelian gauge coupling in a model including a charged scalar, confirming indications that asymptotically safe quantum fluctuations of gravity could trigger a power-law running towards a free fixed point for the gauge coupling above the Planck scale. Simultaneously, quantum gravity fluctuations balance against matter fluctuations to generate an interacting fixed point, which acts as a boundary of the basin of attraction of the free fixed point. This enforces an upper bound on the infrared value of the Abelian gauge coupling. In the regime of gravity couplings which in our approximation also allows for a prediction of the top quark and Higgs mass close to the experimental value [1], we obtain an upper bound approximately 35 % above the infrared value of the hypercharge coupling in the Standard Model.

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Section: Jhep01(2018)030mentioning

confidence: 99%

Upper bound on the Abelian gauge coupling from asymptotic safety

Eichhorn

Versteegen

2018

J. High Energ. Phys.

119

167

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“…(2.5). The direct contribution to the running of a simple Yukawa coupling has been evaluated in [54][55][56][57][58], including anomalous dimensions in [59]. Here, we have also derived the gravity contributions to the β-functions in the gauge and matter sector for general gauges (see appendix A), thus generalizing the results of [30] and [59].…”

Section: Asymptotic Safety For Gauge-yukawa Systems With Gravitymentioning

confidence: 92%

“…It is intriguing to observe that the fixed-point structure of the gauge-Yukawa system at g > g crit appears to potentially be attainable at intermediate scales if one starts from an asymptotically safe matter-gravity model: There, studies indicate that the Yukawa coupling generically features a fixed point at α y = 0 [54][55][56][57][58][59]. Moreover, α N can feature a fixed point at which it is finite and IR-attrative [29], at least in the Abelian case.…”

Section: Connection To Asymptotically Safe Quantum Gravity With Mattermentioning

confidence: 99%

Is scale-invariance in gauge-Yukawa systems compatible with the graviton?

2017

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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 the functional Renormalization Group framework preserves the perturbative fixedpoint structure in these models discovered in [1]. We highlight that the quantumgravity contribution alters the scaling dimension of the gauge coupling, such that the system exhibits an effective dimensional reduction. We secondly explore the effect of metric fluctuations on asymptotically safe gauge-Yukawa systems which feature an asymptotically safe fixed point [2]. The same effective dimensional reduction that takes effect in pure gauge theories also impacts gauge-Yukawa systems. There, it appears to lead to a split of the degenerate free fixed point into an interacting infrared attractive fixed point and a partially ultraviolet attractive free fixed point. The quantum-gravity induced infrared fixed point moves towards the asymptotically safe fixed point of the matter system, and annihilates it at a critical value of the gravity coupling. Even after that fixed-point annihilation, graviton effects leave behind new partially interacting fixed points for the matter sector.

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“…Fundamental aspects related to the inclusion of fermions have been discussed in [50,51] and the compatibility of light chiral fermions with asymptotic safety has been argued in [52][53][54]. Starting from the prediction of the Higgs mass based on Asymptotic Safety [55], mass hierarchies in the standard model and its extensions have been studied in [56][57][58] while the influence of gravitational interactions on the flow of Yukawa-couplings has been studied in [59][60][61][62][63][64]. 2 Based on these works there have been several key insights related to asymptotically safe gravity-matter systems.…”

Section: Jhep12(2017)121mentioning

confidence: 99%

On avoiding Ostrogradski instabilities within Asymptotic Safety

Becker

Ripken

Saueressig

2017

J. High Energ. Phys.

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We study the renormalization group flow of gravity coupled to scalar matter using functional renormalization group techniques. The novel feature is the inclusion of higher-derivative terms in the scalar propagator. Such terms give rise to Ostrogradski ghosts which signal an instability of the system and are therefore dangerous for the consistency of the theory. Since it is expected that such terms are generated dynamically by the renormalization group flow they provide a potential threat when constructing a theory of quantum gravity based on Asymptotic Safety. Our work then establishes the following picture: upon incorporating higher-derivative terms in the scalar propagator the flow of the gravity-matter system possesses a fixed point structure suitable for Asymptotic Safety. This structure includes an interacting renormalization group fixed point where the Ostrogradski ghosts acquire an infinite mass and decouple from the system. Tracing the flow towards the infrared it is found that there is a subset of complete renormalization group trajectories which lead to stable renormalized propagators. This subset is in one-to-one correspondence to the complete renormalization group trajectories obtained in computations which do not keep track of the higher-derivative terms. Thus our asymptotically safe gravity-matter systems are not haunted by Ostrogradski ghosts.

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Non-minimal coupling in Higgs–Yukawa model with asymptotically safe gravity

Cited by 124 publications

References 137 publications

Upper bound on the Abelian gauge coupling from asymptotic safety

Upper bound on the Abelian gauge coupling from asymptotic safety

Is scale-invariance in gauge-Yukawa systems compatible with the graviton?

On avoiding Ostrogradski instabilities within Asymptotic Safety

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