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Theories beyond the Standard Model often contain mass scales hierarchically different from the electroweak scale and the Planck scale. It has been shown that such hierarchical mass scales can be realized as typical energy scales of multiple…

High Energy Physics - Phenomenology · Physics 2022-02-23 Seung J. Lee , Yuichiro Nakai , Motoo Suzuki

We study a scale-invariant model of quadratic gravity with a non-minimally coupled scalar field. We focus on cosmological solutions and find that scale invariance is spontaneously broken and a mass scale naturally emerges. Before the…

General Relativity and Quantum Cosmology · Physics 2016-07-13 Massimiliano Rinaldi , Luciano Vanzo

Motivated by natural inflation, we propose a relaxation mechanism consistent with inflationary cosmology that explains the hierarchy between the electroweak scale and Planck scale. This scenario is based on a selection mechanism that…

High Energy Physics - Phenomenology · Physics 2016-12-14 Luca Marzola , Martti Raidal

In the standard inflationary paradigm the inhomogeneities observed in the CMB arise from quantum fluctuations of an initially homogeneous and isotropic vacuum state. This picture suffers from two well-known weaknesses. First, it assumes…

General Relativity and Quantum Cosmology · Physics 2026-01-21 Gabriel R. Bengochea , Gabriel Leon , Alejandro Perez

We consider inflation in a universe with a positive cosmological constant and a nonminimally coupled scalar field, in which the field couples both quadratically and quartically to the Ricci scalar. When considered in the Einstein frame and…

General Relativity and Quantum Cosmology · Physics 2015-08-21 Dražen Glavan , Anja Marunović , Tomislav Prokopec

We analyze cosmological perturbations to the linear order in the context of inflation with an arbitrary number of scalar fields. The fields take values on a non-trivial manifold with a positive-definite metric and are non-minimally coupled…

Astrophysics · Physics 2007-05-23 Joydev Lahiri , Gautam Bhattacharya

We point out that the successful generation of the electroweak scale via gravitational instanton configurations in certain scalar-tensor theories can be viewed as the aftermath of a simple requirement: the existence of a quadratic pole with…

High Energy Physics - Theory · Physics 2020-11-03 Georgios K. Karananas , Marco Michel , Javier Rubio

Planck-scale physics challenges the classical smooth-spacetime picture by introducing quantum fluctuations that imply a nontrivial spacetime microstructure. We present a framework that encodes these fluctuations by promoting local scale…

General Physics · Physics 2026-01-23 Weihu Ma , Yu-Gang Ma

Classically scale-invariant (and perturbative) theories provide a way to understand large hierarchies, as scales are generated through dimensional transmutation. They always lead to first-order phase transitions, since symmetries are…

High Energy Physics - Phenomenology · Physics 2026-03-30 Filippo Cutrona , Francesco Rescigno , Alberto Salvio

We investigate a particle physics model for cosmic inflation based on the following assumptions: (i) there are at least two complex scalar fields; (ii) the scalar potential is bounded from below and remains perturbative up to the Planck…

High Energy Physics - Phenomenology · Physics 2020-04-01 Zoltán Péli , István Nándori , Zoltán Trócsányi

Cosmological relaxation of the electroweak scale via Higgs-axion interplay, named as relaxion mechanism, provides a dynamical solution to the Higgs mass hierarchy. In the original proposal by Graham, Kaplan and Rajendran, the relaxion…

High Energy Physics - Phenomenology · Physics 2023-06-28 Aleksandr Chatrchyan , Géraldine Servant

We study the most general cosmological model with real scalar field which is minimally coupled to gravity. Our calculations are based on Friedmann-Lemaitre-Robertson-Walker (FLRW) background metric. Field equations consist of three…

General Relativity and Quantum Cosmology · Physics 2023-03-22 Medine Ildes , Metin Arik

Theories where the Planck scale is dynamically generated from dimensionless interactions provide predictive inflationary potentials and super-Planckian field variations. We first study the minimal single-field realisation in the low-energy…

Cosmology and Nongalactic Astrophysics · Physics 2015-08-28 Kristjan Kannike , Gert Hütsi , Liberato Pizza , Antonio Racioppi , Martti Raidal , Alberto Salvio , Alessandro Strumia

Defining a scale of $k$-modes of the quantum fluctuations during inflation through the dynamical horizon crossing condition $k = aH$ we go from the physical $t$ variable to $k$ variable and solve the equations of cosmological first-order…

General Relativity and Quantum Cosmology · Physics 2023-05-08 Arunoday Sarkar , Chitrak Sarkar , Buddhadeb Ghosh

In scale-invariant models of fundamental physics, mass scales are generated by spontaneous symmetry breaking. In this work, we study inflation in scale-invariant $R^2$ gravity, in which the Planck mass is generated by a scalar field, which…

General Relativity and Quantum Cosmology · Physics 2021-06-09 Carsten van de Bruck , Richard Daniel

The Multiple Point Principle, according to which there exist many vacuum states with the same energy density, is put forward as a fine-tuning mechanism. By assuming the existence of three degenerate vacua, we derive the hierarchical ratio…

High Energy Physics - Phenomenology · Physics 2015-06-25 C. D. Froggatt

We argue that strong dynamics at the Planck scale can solve the cosmological moduli problem. We discuss its implications for inflation models, and find that a certain type of multi-field inflation model is required for this mechanism to…

High Energy Physics - Phenomenology · Physics 2011-02-24 Fuminobu Takahashi , Tsutomu T. Yanagida

We propose a new framework for solving the hierarchy problem which does not rely on either supersymmetry or technicolor. In this framework, the gravitational and gauge interactions become united at the weak scale, which we take as the only…

High Energy Physics - Phenomenology · Physics 2008-11-26 Nima Arkani-Hamed , Savas Dimopoulos , Gia Dvali

We suggest a new type of hill-top inflation originating from the initial conditions in the form of the microcanonical density matrix for the cosmological model with a large number of quantum fields conformally coupled to gravity. Initial…

High Energy Physics - Theory · Physics 2016-01-27 A. O. Barvinsky , A. Yu. Kamenshchik , D. V. Nesterov

Numerical solutions of Einstein, scalar, and gauge field equations are found for static and inflating defects in a higher-dimensional spacetime. The defects have $(3+1)$-dimensional core and magnetic monopole configuration in $n=3$ extra…

High Energy Physics - Theory · Physics 2009-11-10 Inyong Cho , Alexander Vilenkin