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We propose a multiplicative formulation of the Higgs Lagrangian, derived from the inverse problem in the calculus of variations, as an alternative framework to investigate the fermion mass hierarchy. In this setup, fermion masses emerge as…

High Energy Physics - Theory · Physics 2025-08-27 Suppanat Supanyo , Sikarin Yoo-Kong , Lunchakorn Tannukij

We study Lagrangian Perturbation Theory (LPT) and its regularization in the Effective Field Theory (EFT) approach. We evaluate the LPT displacement with the same phases as a corresponding $N$-body simulation, which allows us to compare…

Cosmology and Nongalactic Astrophysics · Physics 2016-03-23 Tobias Baldauf , Emmanuel Schaan , Matias Zaldarriaga

We carry out a detailed numerical investigation of the spatial correlation function of the initial positions of cosmological dark matter halos. In this Lagrangian coordinate system, which is especially useful for analytic studies of…

Astrophysics · Physics 2009-11-10 Evan Scannapieco , Robert J. Thacker

We apply the convolved Lagrangian perturbation theory (CLPT) formalism, in which one can express the matter density power spectrum in terms of integrals over a function of cumulants of the displacement field, allowing for a resummation of…

Cosmology and Nongalactic Astrophysics · Physics 2015-01-14 Zvonimir Vlah , Uroš Seljak , Tobias Baldauf

We investigate nonlocal Lagrangian bias contributions involving gradients of the linear density field, for which we have predictions from the excursion set peak formalism. We begin by writing down a bias expansion which includes all the…

Cosmology and Nongalactic Astrophysics · Physics 2014-06-30 Matteo Biagetti , Kwan Chuen Chan , Vincent Desjacques , Aseem Paranjape

We present and test a framework that models the three-dimensional distribution of mass in the Universe as a function of cosmological and astrophysical parameters. Our approach combines two different techniques: a rescaling algorithm that…

We present results for the cosmic non-linear density-fluctuation power spectrum based on the analytical formalism developed in [1] which allows us to study cosmic structure formation based on Newtonian particle dynamics in phase-space. This…

Cosmology and Nongalactic Astrophysics · Physics 2025-01-22 Tristan Daus , Elena Kozlikin

It is often assumed that the halo-patch fluctuation field can be written as a Taylor series in the initial Lagrangian dark matter density fluctuation field. We show that if this Lagrangian bias is local, and the initial conditions are…

Cosmology and Nongalactic Astrophysics · Physics 2013-03-12 Noemi Frusciante , Ravi K. Sheth

In this paper, we review a general technique for converting the standard Lagrangian description of a classical system into a formulation that puts time on an equal footing with the system's degrees of freedom. We show how the resulting…

General Physics · Physics 2023-07-28 Jacob A. Barandes

The relativistic generalization of the Newtonian Lagrangian perturbation theory is investigated. In previous works, the first-order trace solutions that are generated by the spatially projected gravitoelectric part of the Weyl tensor were…

General Relativity and Quantum Cosmology · Physics 2015-07-15 Alexandre Alles , Thomas Buchert , Fosca Al Roumi , Alexander Wiegand

We test tree-level perturbation theory for Gaussian initial conditions with power spectra $P(k)\propto k^n$ by comparing the probability distribution function (PDF) for the density predicted by the Local Lagrangian Approximation (LLA) with…

Astrophysics · Physics 2015-06-24 Zacharias A. M. Protogeros , Adrian L. Melott , Robert J. Scherrer

We present an improved prescription for matter power spectrum in redshift space taking a proper account of both the non-linear gravitational clustering and redshift distortion, which are of particular importance for accurately modeling…

Cosmology and Nongalactic Astrophysics · Physics 2014-11-21 Atsushi Taruya , Takahiro Nishimichi , Shun Saito

Understanding the biasing between the clustering properties of halos and the underlying dark matter distribution is important for extracting cosmological information from ongoing and upcoming galaxy surveys. While on sufficiently larges…

Cosmology and Nongalactic Astrophysics · Physics 2014-08-27 Matteo Biagetti , Vincent Desjacques , Alex Kehagias , Antonio Riotto

According to the now strongly supported concordance $\Lambda$CDM model, galaxies may be grossly described as a luminous component embedded in a dark matter halo. The density profile of these mass dominating haloes may be determined by N -…

Cosmology and Nongalactic Astrophysics · Physics 2014-02-04 A. Del Popolo , V. F. Cardone

We use N-body/gasdynamical LambdaCDM cosmological simulations to examine the effect of the assembly of a central galaxy on the shape and mass profile of its dark halo. Two series of simulations are compared; one that follows only the…

Astrophysics of Galaxies · Physics 2015-05-13 Mario G. Abadi , Julio F. Navarro , Mark Fardal , Arif Babul , Matthias Steinmetz

A modification of the Einstein-Hilbert Lagrangian by introducing a coupling between the Weyl tensor and the stress-energy tensor was proposed to explain flat galactic rotation curves without the exotic (non-baryonic) dark matter (DM) [1].…

Astrophysics of Galaxies · Physics 2026-04-03 Asghar Qadir , Ashmal Shahid , Noraiz Tahir

The halo shape plays a central role in determining important observational properties of the haloes such as mass, concentration and lensing cross-sections. The triaxiality of lensing galaxy clusters has a substantial impact on the…

Cosmology and Nongalactic Astrophysics · Physics 2017-03-22 Jesús Vega-Ferrero , Gustavo Yepes , Stefan Gottlöber

Despite being a fundamental property of galaxies that dictates the form of the potential, the 3D shape is intrinsically difficult to determine from observations. The improving quality of triaxial modeling methods in recent years has made it…

Astrophysics of Galaxies · Physics 2024-10-16 Lucas M. Valenzuela , Rhea-Silvia Remus , Klaus Dolag , Benjamin A. Seidel

Massive elliptical galaxies align pointing their major axis towards each other in the structure of the Universe. Such alignments are well-described at large scales through a linear relation with respect to the tidal field of the large-scale…

Cosmology and Nongalactic Astrophysics · Physics 2023-06-28 Dennis van Dompseler , Christos Georgiou , Nora Elisa Chisari

We present several methods to accurately estimate Lagrangian bias parameters and substantiate them using simulations. In particular, we focus on the quadratic terms, both the local and the non local ones, and show the first clear evidence…

Cosmology and Nongalactic Astrophysics · Physics 2017-12-01 Chirag Modi , Emanuele Castorina , Uros Seljak
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