Collider Signals of Gravitational Fixed Points

JoAnne Hewett; Thomas Rizzo (SLAC)

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Collider Signals of Gravitational Fixed Points

JoAnne Hewett, Thomas Rizzo (SLAC)

High Energy Physics - Phenomenology · Submitted 21 Jul 2007

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim We find significant effects in the processes of Kaluza-Klein (KK) graviton exchange or resonant KK graviton production in both the Drell-Yan reaction as well as in $e^+e^-\to f\bar f$.

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What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.44 · human participants 0.01 · controlled comparison 0.14 · randomized assignment 0.01 · states quantitative result 0.05 · compares with prior results 0.38 · mentions code or data availability 0.02.

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Recent studies have shown that the poor perturbative behavior of General Relativity in the ultraviolet regime may be ameliorated by the existence of a non-Gaussian fixed point which renders the theory asymptotically safe and possibly non-perturbatively renormalizable. This results in a running of the (effective) gravitational coupling such that gravity becomes weaker at high energies. We parameterize this effective coupling with a form factor and study its consequences at the LHC and ILC in models with large extra dimensions or warped extra dimensions. We find significant effects in the processes of Kaluza-Klein (KK) graviton exchange or resonant KK graviton production in both the Drell-Yan reaction as well as in $e^+e^-\to f\bar f$. On the otherhand, processes leading to KK graviton emission show qualitatively less sensitivity to the presence of a form factor. In addition, we examine tree-level perturbative unitarity in $2\to 2$ gravity-mediated scattering and find that this form factor produces a far better behaved amplitude at large center of mass energies.

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What the classifier reports for each sentence. The number is the probability it gave the label.
#	sentence	role	the authors' own work	states the main conclusion	strength
s0	Recent studies have shown that the poor perturbative behavior of General Relativity in the ultraviolet regime may be ameliorated by the existence of a non-Gaussian fixed point which renders the theory asymptotically safe and possibly non-perturbatively renormalizable.	background 1.00	0.04	0.07	hedged possibility 0.95
s1	This results in a running of the (effective) gravitational coupling such that gravity becomes weaker at high energies.	background 0.73	0.15	0.08	asserted 1.00
s2	We parameterize this effective coupling with a form factor and study its consequences at the LHC and ILC in models with large extra dimensions or warped extra dimensions.	method 0.70	0.92	0.05	asserted 0.90
s3	We find significant effects in the processes of Kaluza-Klein (KK) graviton exchange or resonant KK graviton production in both the Drell-Yan reaction as well as in $e^+e^-\to f\bar f$.	result 1.00	0.96	0.43	asserted 1.00
s4	On the otherhand, processes leading to KK graviton emission show qualitatively less sensitivity to the presence of a form factor.	result 1.00	0.86	0.09	asserted 1.00
s5	In addition, we examine tree-level perturbative unitarity in $2\to 2$ gravity-mediated scattering and find that this form factor produces a far better behaved amplitude at large center of mass energies.	result 0.99	0.96	0.23	asserted 1.00

What kind of paper the classifier reports this is: theoretical result 0.96 · evidence from proof or derivation 0.61.

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Original abstract

Recent studies have shown that the poor perturbative behavior of General Relativity in the ultraviolet regime may be ameliorated by the existence of a non-Gaussian fixed point which renders the theory asymptotically safe and possibly non-perturbatively renormalizable. This results in a running of the (effective) gravitational coupling such that gravity becomes weaker at high energies. We parameterize this effective coupling with a form factor and study its consequences at the LHC and ILC in models with large extra dimensions or warped extra dimensions. We find significant effects in the processes of Kaluza-Klein (KK) graviton exchange or resonant KK graviton production in both the Drell-Yan reaction as well as in $e^+e^-\to f\bar f$. On the otherhand, processes leading to KK graviton emission show qualitatively less sensitivity to the presence of a form factor. In addition, we examine tree-level perturbative unitarity in $2\to 2$ gravity-mediated scattering and find that this form factor produces a far better behaved amplitude at large center of mass energies.

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References

Forward citations

Cited by 7 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

Asymptotic safety guaranteed
hep-th 2014-06 conditional novelty 7.0 of 10

In the Veneziano limit, a 4D SU(N_C) gauge theory with N_F fermions and a scalar matrix develops a perturbative interacting UV fixed point once N_F/N_C exceeds 11/2.
On the renormalization group flow of f(R)-gravity
hep-th 2007-12 conditional novelty 6.0 of 10

Including ln(R) and R^{-n} terms in the gravitational effective action removes the infrared singularity at lambda = 1/2 and, for the ln(R) case, produces an infrared fixed point that drives the cosmological constant to zero.
Black holes and asymptotically safe gravity
hep-th 2010-02 conditional novelty 5.0 of 10

Running the gravitational coupling with distance in d-dimensional Schwarzschild black holes yields a minimum black hole mass, a cold remnant with vanishing temperature, and a suppressed but semi-classical collider cro...
Investigating the Ultraviolet Properties of Gravity with a Wilsonian Renormalization Group Equation
hep-th 2008-05 conditional novelty 5.0 of 10

In truncations of gravity up to eighth-order polynomials in the Ricci scalar, the renormalization group flow has a nontrivial fixed point whose ultraviolet critical surface is three-dimensional, with the surface equat...
Black holes within Asymptotic Safety
hep-th 2014-01 conditional novelty 3.0 of 10

Applying the same scale-dependent-coupling improvement to empty space produces a conical singularity, indicating that the singularity in improved black hole models is a scheme artifact rather than a black hole prediction.

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Physics searches at the LHC
hep-ph 2009-12 accept novelty 3.0 of 10

A structured review pairing each major TeV-scale model of new physics with the LHC signatures it would produce, and showing how an observed signature can be traced back to a class of underlying models.
Renormalisation group and the Planck scale
hep-th 2011-02 accept novelty 2.0 of 10

A review argues that functional renormalisation group calculations give growing evidence for a non-trivial ultraviolet fixed point in four-dimensional quantum gravity, the asymptotic safety scenario.

How the literature uses it

26 arXiv papers cite this in 35 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers citing it · 22 sentences without a confident label

Compares with it 2 papers

We also compare our results, and in particular the $m_μμ$-dependence, with those from effective field theory [ref] , the form-factor approximation [ref] , and the Standard Model background.

Asymptotic safety and Kaluza-Klein gravitons at the LHC · Phenomenology · 1.00
Note that a similar proposal has been made to solve problems with unitarity in models with large extra-dimensions [ref] .

Asymptotically safe weak interactions · Introduction · 0.89

Cites it as background 10 papers

Experimental signatures for asymptotic safety within low-scale quantum gravity are discussed in [ref] .

Asymptotic safety and Kaluza-Klein gravitons at the LHC · Introduction · 0.80
This scenario was dubbed “asymptotic safety” by Weinberg [ref] and is reviewed e.g. in [ref] (for a recent attempt in this direction see e.g. [ref] ).

A pedagogical explanation for the non-renormalizability of gravity · Asymptotic Safety? · 0.99
(3) As for possible physics implications of the RG flow predicted by QEG, ideas from particle physics, in particular the “RG improvement”, have been employed in order to study the leading quantum gravity effects in black holes [ref] , cosmological space-times [ref] or possible observable signatures from Asymptotic Safety at the LHC [ref] .

Asymptotic Safety, Fractals, and Cosmology · Introduction · 0.86

What it cites · 22 sentences without a confident label

Uses the method or tool of 1 paper

Following Bonanno and Reuter [ref] , the relevant RGE corresponding to the action above is found to be

Spacetime Structure of an Evaporating Black Hole in Quantum Gravity · Background Formalism · 0.92

Uses data or values from 2 papers

At the $√(s)=500$ GeV ILC, the search reach for the cutoff $Λ_H$ in the conventional ADD model is approximately 5 TeV [ref] , independent of the value of $δ$, assuming an integrated luminosity of 500 $fb^-1$ and $80%$ electron beam polarization.

TESLA Technical Design Report Part III: Physics at an e+e- Linear Collider · Large Extra Dimensions · 0.91
At the $√(s)=500$ GeV ILC, the search reach for the cutoff $Λ_H$ in the conventional ADD model is approximately 5 TeV [ref] , independent of the value of $δ$, assuming an integrated luminosity of 500 $fb^-1$ and $80%$ electron beam polarization.

Indirect Collider Signals for Extra Dimensions · Large Extra Dimensions · 0.91

Cites as background 10 papers

The operator for this transition takes the generic form [ref] [equation] where the scale $Λ_H$ represents a naive cutoff that regulates the integral over the sum of KK graviton propagators weighted by the density of KK states. $Λ_H$ is of order the fundamental scale $M$, with the exact relationship between the two being governed by the full UV theory.

Indirect Collider Signals for Extra Dimensions · Large Extra Dimensions · 0.85
The operator for this transition takes the generic form [ref] [equation] where the scale $Λ_H$ represents a naive cutoff that regulates the integral over the sum of KK graviton propagators weighted by the density of KK states. $Λ_H$ is of order the fundamental scale $M$, with the exact relationship between the two being governed by the full UV theory.

Quantum Gravity and Extra Dimensions at High-Energy Colliders · Large Extra Dimensions · 0.85
In the RS model [ref] , the $S^1/Z_2$ orbifolded, slice of 5-dimensional space bounded by two branes is described by a non-factorizable metric

A Large Mass Hierarchy from a Small Extra Dimension · Warped Extra Dimensions · 0.99

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