Gravitational corrections to Yukawa systems

Zanusso, Omar; Zambelli, Luca; Vacca, Gian Paolo; Percacci, Roberto

doi:10.1016/j.physletb.2010.04.043

Cited by 119 publications

(152 citation statements)

References 29 publications

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“…Explicit computations confirm these expectations [11,12,[14][15][16][17][18][19]. In general, the constants a j will depend on the precise model which describes the high energy regime.…”

supporting

confidence: 55%

Asymptotic safety of gravity and the Higgs-boson mass

Shaposhnikov

2012

Theor Math Phys

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There are indications that gravity is asymptotically safe. The Standard Model (SM) plus gravity could be valid up to arbitrarily high energies. Supposing that this is indeed the case and assuming that there are no intermediate energy scales between the Fermi and Planck scales we address the question of whether the mass of the Higgs boson m H can be predicted. For a positive gravity induced anomalous dimension A λ > 0 the running of the quartic scalar self interaction λ at scales beyond the Planck mass is determined by a fixed point at zero. This results in m H = m min = 126 GeV, with only a few GeV uncertainty. This prediction is independent of the details of the short distance running and holds for a wide class of extensions of the SM as well. For A λ < 0 one finds m H in the interval m min < m H < m max ≃ 174 GeV, now sensitive to A λ and other properties of the short distance running. The case A λ > 0 is favored by explicit computations existing in the literature. The "flowing action" or "effective average action" Γ k includes all quantum fluctuations with momenta larger than an infrared cutoff scale. For k → ∞ no fluctuations are included and Γ k→∞ coincides with the classical or microscopic action, while for k → 0 the flowing action includes all quantum fluctuations and becomes the generating functional of the one-particle irreducible Green's functions. The scale dependence of Γ k obeys an exact functional renormalization group equation [4]. It is of a simple one loop type, but nevertheless can be solved only approximately by suitable non-perturbative truncations of its most general functional form. From the studies of the functional renormalization group for Γ k one infers a characteristic scale dependence of the gravitational constant or Planck mass,where M P = (8πG N ) −1/2 = 2.4 × 10 18 GeV is the low energy Planck mass, and ξ 0 is a pure number, the exact

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“…Explicit computations confirm these expectations [11,12,[14][15][16][17][18][19]. In general, the constants a j will depend on the precise model which describes the high energy regime.…”

supporting

confidence: 55%

Asymptotic safety of gravity and the Higgs-boson mass

Shaposhnikov

2012

Theor Math Phys

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“…Similar actions, but without the factors Z Ψ , have been considered before in [41,42,51]. Fermions in asymptotically gravity have been further discussed in [13][14][15][52][53][54]. In the Dirac action the covariant derivative is…”

Section: B Background Field and Fluctuation Fieldmentioning

confidence: 99%

Matter matters in asymptotically safe quantum gravity

2014

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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 certain approximations find that for a given number of gauge fields there is a maximal number of scalar and fermion degrees of freedom compatible with an interacting fixed point at positive Newton coupling. The bounds impose severe constraints on grand unification with fundamental Higgs scalars. Supersymmetry and universal extra dimensions are also generally disfavored. The standard model and its extensions accommodating right-handed neutrinos, the axion and dark-matter models with a single scalar are compatible with a fixed point.

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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.

121

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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Gravitational corrections to Yukawa systems

Cited by 119 publications

References 29 publications

Asymptotic safety of gravity and the Higgs-boson mass

Asymptotic safety of gravity and the Higgs-boson mass

Matter matters in asymptotically safe quantum gravity

Upper bound on the Abelian gauge coupling from asymptotic safety

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