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Local gravitational theories with more than four derivatives have remarkable quantum properties, e.g., they are super-renormalizable and may be unitary in the Lee-Wick sense. Therefore, it is important to explore also the IR limit of these…

General Relativity and Quantum Cosmology · Physics 2018-02-27 Antonio Accioly , Breno L. Giacchini , Ilya L. Shapiro

The most simple superrenormalizable model of quantum gravity is based on the general local covariant six-derivative action. In addition to graviton such a theory has massive scalar and tensor modes. It was shown recently that in the case…

General Relativity and Quantum Cosmology · Physics 2017-11-10 Antonio Accioly , Breno L. Giacchini , Ilya L. Shapiro

Neutrinos are the most elusive particles of the Standard Model. The physics behind their masses remains unknown and requires introducing new particles and interactions. An elegant solution to this problem is provided by the seesaw…

High Energy Physics - Phenomenology · Physics 2024-11-19 Bartosz Fornal , Dyori Polynice , Luka Thompson

In this work we study a modified theory of gravity that contains up to fourth order spatial derivatives as a model for the Horava-Lifshitz gravity. The propagator is evaluated and, as a result, it is obtained one extra pole corresponding to…

High Energy Physics - Theory · Physics 2011-10-13 F. S. Bemfica , M. Gomes

We study the possibility of probing the dynamical inverse seesaw mechanism for the origin of light neutrino masses via the detection of stochastic gravitational waves (GW) in the low-frequency regime currently being probed by pulsar timing…

High Energy Physics - Phenomenology · Physics 2026-05-28 Debasish Borah , Sounak Dutta , Partha Kumar Paul , Indrajit Saha , Narendra Sahu

In 3+1 space-time dimensions, fourth order derivative gravity is perturbatively renormalizable. Here it is shown that it describes a unitary theory of gravitons (with/without an additional scalar) in a limited coupling parameter space which…

High Energy Physics - Theory · Physics 2015-06-11 Gaurav Narain , Ramesh Anishetty

A five-dimensional seesaw framework is analyzed with the lepton-number-violating propagator of bulk right-handed neutrinos. That can bypass summing up the effects of heavy Majorana particles whose masses and wavefunctions are not exactly…

High Energy Physics - Phenomenology · Physics 2011-04-08 Atsushi Watanabe , Koichi Yoshioka

Higher derivative theory is one of the important models of quantum gravity, renormalizable and asymptotically free within the standard perturbative approach. We consider the $4-\epsilon$ renormalization group for this theory, an approach…

High Energy Physics - Theory · Physics 2011-08-17 Guilherme de Berredo-Peixoto , Ilya L. Shapiro

Understanding the role of higher derivatives is probably one of the most relevant questions in quantum gravity theory. Already at the semiclassical level, when gravity is a classical background for quantum matter fields, the action of…

General Relativity and Quantum Cosmology · Physics 2014-10-10 Ilya L. Shapiro , Ana M. Pelinson , Filipe de O. Salles

Linearized four-derivative gravity with a general gauge fixing term is considered. By a Legendre transform and a suitable diagonalization procedure it is cast into a second-order equivalent form where the nature of the physical degrees of…

General Relativity and Quantum Cosmology · Physics 2008-11-26 A. Bartoli , J. Julve , E. J. Sanchez

It is shown that polynomial gravity theories with more than four derivatives in each scalar and tensor sectors have a regular weak-field limit, without curvature singularities. This is achieved by proving that in these models the effect of…

General Relativity and Quantum Cosmology · Physics 2019-07-09 Breno L. Giacchini , Tibério de Paula Netto

Gravitational waves (GW), as light, are gravitationally lensed by intervening matter, deflecting their trajectories, delaying their arrival and occasionally producing multiple images. In theories beyond general relativity (GR), new…

General Relativity and Quantum Cosmology · Physics 2021-01-04 Jose María Ezquiaga , Miguel Zumalacárregui

With an appropriate choice of parameters, a higher derivative theory of gravity can describe a normal massive sector and a ghost massless sector. We show that, when defined on an asymptotically de Sitter spacetime with Dirichlet boundary…

High Energy Physics - Theory · Physics 2015-06-11 Minjoon Park , Lorenzo Sorbo

The seesaw mechanism is attractive not only because it "explains'' small neutrino mass, but also because of its packaging with the SUSY-GUT, leptogenesis, Dark Matter, and electroweak symmetry breaking. However, this package has the flavor,…

High Energy Physics - Phenomenology · Physics 2009-09-29 Hitoshi Murayama

In this paper we study perturbatively an extension of the Stelle higher derivative gravity involving an infinite number of derivative terms. We know that the usual quadratic action is renormalizable but is not unitary because of the…

High Energy Physics - Theory · Physics 2012-02-02 Leonardo Modesto

The inclusion of higher derivatives is a necessary condition for a renormalizable or superrenormalizable local theory of quantum gravity. On the other hand, higher derivatives lead to classical instabilities and a loss of unitarity at the…

High Energy Physics - Theory · Physics 2025-11-20 Manuel Asorey , Gastão Krein , Miguel Pardina , Ilya L. Shapiro

We study the degrees of freedom of the metric in a general class of higher derivative gravity models, which are interesting in the context of quantum gravity as they are (super)renormalizable. First, we linearize the theory for a flat…

General Relativity and Quantum Cosmology · Physics 2019-04-05 Patric Hölscher

Strong gravitational lensing produces multiple images of a gravitational wave (GW) signal, which can be observed by detectors as time-separated copies of the same event. It has been shown that under favourable circumstances, by combining…

General Relativity and Quantum Cosmology · Physics 2023-08-04 Harsh Narola , Justin Janquart , Leïla Haegel , K. Haris , Otto A. Hannuksela , Chris Van Den Broeck

Modified gravity theories have richer observational consequences for large-scale structure than conventional dark energy models, in that different observables are not described by a single growth factor even in the linear regime. We examine…

Astrophysics · Physics 2009-02-20 Bhuvnesh Jain , Pengjie Zhang

Seesaw mechanism appears to be the simplest and most appealing way to understand small neutrino masses observed in recent experiments. It introduces three right handed neutrinos with heavy masses to the standard model, with at least one…

High Energy Physics - Phenomenology · Physics 2014-11-18 R. N. Mohapatra
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