Scalar resonance in graviton-graviton scattering at high-energies: the graviball

Blas, D.; Camalich, J. Martin; Oller, J. A.

doi:10.48550/arxiv.2009.07817

Cited by 3 publications

(4 citation statements)

References 79 publications

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“…6 the relative difference r in the (log a, y) plane. We indeed observe a continuum of local minima for log a ∼ 0.4 − 0.6, which is the value we have already determined by reproducing the lightest pole positions with ν = 0 in the AC-scattering model 16 .Also note that the range of y considered corresponds to µ 2 f ∼ 0.1 − 0.4 in units of Λ 2 , which are reasonable values for an IR regularization scale.…”

Section: Considerations Regarding the Parameter Log Asupporting

confidence: 82%

“…[15] for a recent effort. The purpose of this work and the related [16] is to initiate the exploration of a complementary direction in this program by considering the unitarization of Born amplitudes, the lowest-order graviton-graviton scattering, at energies below the Planck mass. In this program, we will also derive generic results that can be used to unitarize other theories with long-range interaction.…”

Section: Introductionmentioning

confidence: 99%

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Unitarization of infinite-range forces: graviton-graviton scattering

Blas¹,

Camalich²,

Oller³

2020

Preprint

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KCL-2020-57A method to unitarize the scattering amplitude produced by infinite-range forces is developed and applied to Born terms. In order to apply S-matrix techniques, based on unitarity and analyticity, we first derive an S-matrix free of infrared divergences. This is achieved by removing a divergent phase factor due to the interactions mediated by the massless particles in the crossed channels, a procedure that is related to previous formalisms to treat infrared divergences. We apply this method in detail by unitarizing the Born terms for graviton-graviton scattering in pure gravity and we find a scalar graviton-graviton resonance with vacuum quantum numbers (J P C = 0 ++ ) that we call the graviball. Remarkably, this resonance is located below the Planck mass but deep in the complex s-plane (with s the usual Mandelstam variable), so that its effects along the physical real s axis peak for values significantly lower than this scale. This implies that the corrections to the leading-order amplitude in the gravitational effective field theory are larger than expected from naive dimensional analysis for s around and above the peak position. We argue that the position and width of the graviball are reduced when including extra light fields in the theory. This could lead to phenomenological consequences in scenarios of quantum gravity with a large number of such fields or, in general, with a low-energy ultraviolet completion. We also apply this formalism to two non-relativistic potentials with exact known solutions for the scattering amplitudes: Coulomb scattering and an energy-dependent potential obtained from the Coulomb one with a zero at threshold. This latter case shares the same J = 0 partial-wave projected Born term as the graviton-graviton case, except for a global factor. We find that the relevant resonance structure of these examples is reproduced by our methods, which represents a strong indication of their robustness.

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Section: Considerations Regarding the Parameter Log Asupporting

confidence: 82%

Section: Introductionmentioning

confidence: 99%

Unitarization of infinite-range forces: graviton-graviton scattering

Blas¹,

Camalich²,

Oller³

2020

Preprint

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“…More recently, the possible corrections to Newton law coming from the squares of the Ricci scalar and Ricci tensor have been discussed [25], where it is found that all amplitudes with two heavy scalars and an arbitrary number of gravitons are not affected by those quadratic interactions. Possible scalar resonances appearing in graviton scattering has been studied too [26].…”

Section: Introductionmentioning

confidence: 99%

The Higgs-Graviton Couplings: from Amplitudes to the Action

Alonzo-Artiles,

Avilez-López,

Díaz-Cruz

et al. 2021

Preprint

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In this paper we study the coupling of scalar (Higgs) particles (φ) with gravitons (h) and their possible effects. The general form of the 3-point interaction φ(p)h(1)h(2) can be derived using the scaling behavior of the spinor variables under the little group; the resulting vertices exhibit such simplicity, that some simplifications should be hidden in the expressions obtained from the extended scalar action. To investigate this, we study an extended Einstein-Hilbert action that besides the minimal coupling, it also includes terms of the form φR 2 , φR µν R µν and φR µνρσ R µνρσ , as well as the term µναβ φ 5 R µν ρσ R αβρσ for the case of a pseudo-scalar (φ 5 ). The resulting vertices satisfy KLT-type relations, i.e., they can be written as the square of the coupling of the Higgs with gluons. We find that the amplitude for the Higgs decay into a pair of gravitons (on-shell) only receives a contribution coming from the square of the Riemann

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“…We believe that our results here have potential to highly constrain different popular models currently used to investigate properties of black hole physics and Cosmology. It would also be interesting to apply them to the exploration of unitarization mechanisms for graviton scattering [34][35][36].…”

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confidence: 99%

Massless Positivity in Graviton Exchange

Herrero-Valea,

Santos-Garcia,

Tokareva

2020

Preprint

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We formulate Positivity Bounds for scattering amplitudes including exchange of massless particles. We generalize the standard construction through dispersion relations to include the presence of a branch cut along the real axis in the complex plane for the Maldestam variable s. In general, validity of these bounds require the cancellation of divergences in the forward limit of the amplitude, proportional to t −1 and log(t). We show that this is possible in the case of gravitons if one assumes a Regge behavior of the amplitude at high energies below the Planck scale, as previously suggested in the literature. The bounds that we present here have the potential of constraining very general models of modified gravity and EFTs of matter coupled to gravitation.

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Scalar resonance in graviton-graviton scattering at high-energies: the graviball

Cited by 3 publications

References 79 publications

Unitarization of infinite-range forces: graviton-graviton scattering

Unitarization of infinite-range forces: graviton-graviton scattering

The Higgs-Graviton Couplings: from Amplitudes to the Action

Massless Positivity in Graviton Exchange

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