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The Gaussian function (GF) is widely used to explain the behavior or statistical distribution of many natural phenomena as well as industrial processes in different disciplines of engineering and applied science. For example, the GF can be…

Signal Processing · Electrical Eng. & Systems 2020-01-08 Ibrahim Al-Nahhal , Octavia A. Dobre , Ertugrul Basar , Cecilia Moloney , Salama Ikki

Inferring the properties of colliding black holes from gravitational-wave observations is subject to systematic errors arising from modelling uncertainties. Although the accuracy of each model can be calculated through comparison to…

General Relativity and Quantum Cosmology · Physics 2025-08-07 Charlie Hoy , Sarp Akcay , Jake Mac Uilliam , Jonathan E. Thompson

Semi-analytical waveform models for black hole binaries require calibration against numerical relativity waveforms to accurately represent the late inspiral and merger, where analytical approximations fail. After the fitting coefficients…

General Relativity and Quantum Cosmology · Physics 2025-08-29 Simone Mezzasoma , Carl-Johan Haster , Caroline B. Owen , Neil J. Cornish , Nicolás Yunes

In this paper we discuss some general aspects of the gravitational wave background arising from post-inflationary short-lasting cosmological events such as phase transitions. We concentrate on the physics which determines the shape and the…

Cosmology and Nongalactic Astrophysics · Physics 2014-11-18 Chiara Caprini , Ruth Durrer , Thomas Konstandin , Geraldine Servant

Glitches represent a category of non-Gaussian and transient noise that frequently intersects with gravitational wave (GW) signals, exerting a notable impact on the processing of GW data. The inference of GW parameters, crucial for GW…

General Relativity and Quantum Cosmology · Physics 2024-03-15 Tian-Yang Sun , Chun-Yu Xiong , Shang-Jie Jin , Yu-Xin Wang , Jing-Fei Zhang , Xin Zhang

The energy budget of cosmological first-order phase transition is essential for the gravitational wave spectra. Most of the previous studies are based on the bag model with same sound velocity in the symmetric and broken phase. We study the…

Cosmology and Nongalactic Astrophysics · Physics 2021-05-26 Xiao Wang , Fa Peng Huang , Xinmin Zhang

We investigate the cosmological phase transition dynamics in a supersymmetric left-right symmetric model based on the gauge group $SU(3)_C \times SU(2)_L \times SU(2)_R \times U(1)_{B-L}$ that addresses the strong CP problem through…

High Energy Physics - Phenomenology · Physics 2025-10-21 Naoyuki Haba , Yasuhiro Shimizu , Toshifumi Yamada

Gravitational Waves (GWs) are tiny ripples in the fabric of space-time predicted by Einstein's General Relativity. Pulsar timing arrays (PTAs) are well poised to detect low frequency ($10^{-9}$ -- $10^{-7}$ Hz) GWs in the near future. There…

Instrumentation and Methods for Astrophysics · Physics 2015-06-04 J. A. Ellis , F. A. Jenet , M. A. McLaughlin

The scalar induced gravitational waves (SIGWs) is a useful tool to probe the physics in the early universe. To study inflationary models with this tool, we need to know how the waveform of SIGWs is related to the shape of the scalar power…

General Relativity and Quantum Cosmology · Physics 2020-09-01 Fengge Zhang , Arshad Ali , Yungui Gong , Jiong Lin , Yizhou Lu

Gravitational waves (GWs) from merging compact objects encode direct information about the luminosity distance to the binary. When paired with a redshift measurement, this enables standard-siren cosmology: a Hubble diagram can be…

Cosmology and Nongalactic Astrophysics · Physics 2024-08-26 Amanda M. Farah , Thomas A. Callister , Jose María Ezquiaga , Michael Zevin , Daniel E. Holz

We calculate the spectrum of gravitational waves originated from strongly first order electroweak phase transition in the extended Higgs model with a real singlet field. In order to calculate the bubble nucleation rate, we perform a…

High Energy Physics - Phenomenology · Physics 2017-01-04 Katsuya Hashino , Mitsuru Kakizaki , Shinya Kanemura , Pyungwon Ko , Toshinori Matsui

Pulsar timing arrays recently found evidence for a gravitational wave background (GWB), likely the stochastic overlap of GWs from many supermassive black hole binaries. Anticipating a continuous gravitational wave (CW) detection from a…

Cosmology and Nongalactic Astrophysics · Physics 2025-08-08 Emiko C. Gardiner , Bence Bécsy , Luke Zoltan Kelley , Neil J. Cornish

We study the gravitational radiation produced by the collisions of bubble walls or thin fluid shells in cosmological phase transitions. Using the so-called envelope approximation, we obtain analytically the asymptotic behavior of the…

Cosmology and Nongalactic Astrophysics · Physics 2022-01-05 Ariel Megevand , Agustin Membiela

The NANOGrav, Parkes and European Pulsar Timing Array (PTA) experiments have collected strong evidence for a stochastic gravitational wave background in the nHz-frequency band. In this work we perform a detailed statistical analysis of the…

Cosmology and Nongalactic Astrophysics · Physics 2024-01-26 Martin Wolfgang Winkler , Katherine Freese

We study the generation of gravitational waves in the electroweak phase transition. We consider a few extensions of the Standard Model, namely, the addition of scalar singlets, the minimal supersymmetric extension, and the addition of TeV…

Cosmology and Nongalactic Astrophysics · Physics 2012-10-19 Leonardo Leitao , Ariel Megevand , Alejandro D. Sanchez

We give an analytical approximation for the energy spectrum of the scalar-induced gravitational waves (SIGWs) generated by a broken power-law power spectrum, and find that both the asymptotic power-law tails and the intermediate peak…

General Relativity and Quantum Cosmology · Physics 2025-04-30 Chong-Zhi Li , Chen Yuan , Qing-guo Huang

In anticipation of upcoming gravitational wave experiments, we provide a comprehensive overview of the spectra predicted by phase transitions triggered by states from a large variety of dark sector models. Such spectra are functions of the…

High Energy Physics - Phenomenology · Physics 2018-09-06 Djuna Croon , Veronica Sanz , Graham White

We study the generation of gravitational waves (GWs) during a cosmological first-order phase transition (PT) using the recently introduced Higgsless approach to numerically simulate the fluid motion induced by the PT. We present for the…

General Relativity and Quantum Cosmology · Physics 2025-08-04 Chiara Caprini , Ryusuke Jinno , Thomas Konstandin , Alberto Roper Pol , Henrique Rubira , Isak Stomberg

Future space-based interferometers offer an unprecedented opportunity to detect signals from the stochastic gravitational wave background originating from a first-order phase transition at the electroweak scale. The phase transition is…

General Relativity and Quantum Cosmology · Physics 2024-09-04 Lorenzo Giombi , Jani Dahl , Mark Hindmarsh

We study the envelope approximation and its applicability to first-order phase transitions in the early universe. We demonstrate that the power laws seen in previous studies exist independently of the nucleation rate. We also compare the…

Cosmology and Nongalactic Astrophysics · Physics 2016-06-16 David J. Weir
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