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Related papers: Logarithmic soft theorems and soft spectra

200 papers

Gravitational waves propagating across gravitational potentials undergo lensing effects that, in the wave-optics regime, manifest as frequency-dependent amplitude and phase modulations. In this work, we revisit the diffraction integral…

High Energy Physics - Theory · Physics 2026-01-09 Mariana Carrillo Gonzalez , Valerio De Luca , Alice Garoffolo , Julio Parra-Martinez , Mark Trodden

We extend the spectral method for proving limit theorems to random non-uniformly expanding dynamical systems. This yields the CLT and moderate deviations principles (MDP). We show that as the amount of non-uniformity decreases the CLT rates…

Dynamical Systems · Mathematics 2024-08-14 Yeor Hafouta

We give a short introduction to the concept of low energy supersymmetric models and their phenomenological predictions. In view of the future LEP II results we have to parametrize these predictions in a model independent way without too…

High Energy Physics - Phenomenology · Physics 2009-10-28 D. Matalliotakis , H. P. Nilles

Cosmological soft theorems (or consistency relations) provide a powerful probe for the physics of inflation. These relations rely on minimal assumptions and hold very generally. Consequently, any violation of these relations would rule out…

High Energy Physics - Theory · Physics 2026-04-14 Farman Ullah

In this paper, we study the scattering amplitudes and soft theorems for the sigma models with two scalars. We show that if the particles are Goldstone bosons, then you necessarily get Adler zero with no possibility for non-trivial soft…

High Energy Physics - Theory · Physics 2024-09-17 Karol Kampf , Jiri Novotny , Mikhail Shifman , Jaroslav Trnka

We establish logarithmic local energy decay for wave equations with a varying wavespeed in dimensions two and higher, where the wavespeed is assumed to be a short range perturbation of unity with mild radial regularity. The key ingredient…

Analysis of PDEs · Mathematics 2025-09-12 Gayana Jayasinghe , Katrina Morgan , Jacob Shapiro , Mengxuan Yang

We show an example of benign non-separability in an apparently separable system consisting of $n$ free non-correlated quantum particles, solitonic solutions to the nonlinear phase modification of the Schr\"{o}dinger equation proposed…

Quantum Physics · Physics 2007-05-23 Waldemar Puszkarz

We derive the analytical properties of the elastic forward scattering amplitude of two scalar particles from the axioms of the noncommutative quantum field theory. For the case of only space-space noncommutativity, i.e. $\theta_{0i}=0$, we…

High Energy Physics - Theory · Physics 2010-04-05 M. Chaichian , M. N. Mnatsakanova , A. Tureanu , Yu. S. Vernov

This paper establishes that on the domain of outer communications of a general class of stationary and asymptotically flat Lorentzian manifolds of dimension $d+1$, $d\ge3$, the local energy of solutions to the scalar wave equation…

Analysis of PDEs · Mathematics 2015-09-30 Georgios Moschidis

We derive the weak field limit for a gravitational Lagrangian density $L_{g}=(R+a_{0}R^{2}+\sum_{k=1}^{p} a_{k}R\Box^{k}R)\sqrt{-g}$ where higher-order derivative terms in the Ricci scalar $R$ are taken into account. The interest for this…

General Relativity and Quantum Cosmology · Physics 2019-02-11 Salvatore Capozziello , Maurizio Capriolo , Loredana Caso

We study the space of $2\to 2$ scattering amplitudes of neutral Goldstone bosons in four space-time dimensions. We establish universal bounds on the first two non-universal Wilson coefficients of the low energy Effective Field Theory (EFT)…

High Energy Physics - Theory · Physics 2023-10-12 Francesca Acanfora , Andrea Guerrieri , Kelian Häring , Denis Karateev

We give a straightforward and divergence free derivation of the equation of motion for a small but finite object in an arbitrary background using strong field point particle limit. The resulting equation becomes a generalized geodesic for a…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Takashi Fukumoto , Toshifumi Futamase , Yousuke Itoh

We calculate the spin-orbit corrections to the loss of angular momentum in a two-body scattering at third Post-Minkowskian order, $\mathcal O(G^3)$, from scattering amplitudes using the eikonal operator. These results include effects linear…

High Energy Physics - Theory · Physics 2023-09-06 Carlo Heissenberg

We investigate a simple toy model of particle scattering in the flat spacetime limit of an analogue-gravity model. The analogue-gravity medium is treated as a scalar field of phonons that obeys the Klein-Gordon equation and thus admits a…

General Relativity and Quantum Cosmology · Physics 2022-02-14 Scott L. Todd , Giacomo Pantaleoni , Valentina Baccetti , Nicolas C. Menicucci

We calculate to next-to-leading order accuracy the high-energy elastic scattering cross section for an electron off of a classical point source. We use the $\overline{\mathrm{MS}}$ renormalization scheme to tame the ultraviolet divergences…

High Energy Physics - Phenomenology · Physics 2017-07-03 Abdullah Khalil

We derive an all-order factorization theorem for the narrow jet broadening event shape, a measure of the transverse momentum in jet events. This is a non-global observable which receives logarithmically enhanced contributions associated…

High Energy Physics - Phenomenology · Physics 2017-10-25 Thomas Becher , Rudi Rahn , Ding Yu Shao

Within the context of the Effective Field Theory (EFT) framework to gravitational dynamics, we compute the Hamiltonian, source quadrupole moment, and gravitational-wave energy flux for (non-spinning) inspiralling compact binaries at…

General Relativity and Quantum Cosmology · Physics 2024-08-27 Loris Amalberti , Zixin Yang , Rafael A. Porto

It is shown that contrary to claims of Ref. [1] the formulated in the proper physical variables Low theorem [2] for soft photon emission does not require any modification. We also reject the criticism in Ref. [1] of the papers [3,4]. At the…

High Energy Physics - Phenomenology · Physics 2024-03-20 V. S. Fadin , V. A. Khoze

Nonrelativistic systems exhibiting collective magnetic behavior are analyzed in the framework of effective Lagrangians. The method, formulating the dynamics in terms of Goldstone bosons, allows to investigate the consequences of spontaneous…

Condensed Matter · Physics 2009-10-31 Christoph P. Hofmann

In this paper we study the Hamiltonian dynamics of charged particles subject to a non-self-consistent stochastic electric field, when the plasma is in the so-called weak turbulent regime. We show that the asymptotic limit of the Vlasov…

Analysis of PDEs · Mathematics 2021-10-13 Claude Bardos , Nicolas Besse