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Related papers: Hidden Adler zeros and soft theorems for inflation…

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We consider effective field theories (EFTs) of scalar fields with broken Lorentz boosts, which arise by taking the decoupling and flat-space limits of the EFT of inflation, and derive constraints that must be satisfied by the corresponding…

High Energy Physics - Theory · Physics 2024-03-12 Zongzhe Du , David Stefanyszyn

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 prove that soft theorems uniquely fix scattering amplitudes in a wide range of theories, including Yang-Mills, gravity, the non-linear sigma model, Dirac-Born-Infeld, dilaton effective theories, extended theories like NLSM$\oplus \phi^3$…

High Energy Physics - Theory · Physics 2019-02-27 Laurentiu Rodina

We derive a universal soft theorem for every scattering amplitude with at least one massless particle in an arbitrary theory of scalars. Our results follow from the geometry of field space and are valid for any choice of mass spectrum,…

High Energy Physics - Theory · Physics 2022-04-20 Clifford Cheung , Andreas Helset , Julio Parra-Martinez

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

We derive a new soft theorem that corresponds to the spontaneous breaking of Lorentz boosts. This is motivated by the dynamics of inflation in the sub-horizon (flat-space) limit, where spacetime becomes flat but Lorentz boosts are still…

High Energy Physics - Theory · Physics 2023-03-08 Daniel Green , Yiwen Huang , Chia-Hsien Shen

We derive soft theorems for single-clock cosmologies that enjoy a shift symmetry. These so-called consistency conditions arise from a combination of a large diffeomorphism and the internal shift-symmetry and fix the squeezed limit of all…

High Energy Physics - Theory · Physics 2018-04-20 Bernardo Finelli , Garrett Goon , Enrico Pajer , Luca Santoni

We study the structure of the flat space wavefunctional in scalar field theories with nonlinearly realized symmetries. These symmetries imply soft theorems that are satisfied by wavefunction coefficients in the limit where one of the…

High Energy Physics - Theory · Physics 2023-03-29 Noah Bittermann , Austin Joyce

The conservation of the long wavelength fluctuations of the metric plays a vital role in cosmology as the link between quantum fluctuations during inflation and late time observations. This is a well-known property of the classical…

High Energy Physics - Theory · Physics 2025-02-06 Daniel Green , Kshitij Gupta

We derive soft theorems for theories in which time symmetries -- symmetries that involve the transformation of time, an example of which are Lorentz boosts -- are spontaneously broken. The soft theorems involve unequal-time correlation…

High Energy Physics - Theory · Physics 2023-03-01 Lam Hui , Austin Joyce , Ilia Komissarov , Klaas Parmentier , Luca Santoni , Sam S. C. Wong

We systematically explore the landscape of nonrelativistic effective field theories with a local $S$-matrix and enhanced symmetries and soft behavior. The exploration is carried out using both conventional quantum field theory methods based…

High Energy Physics - Theory · Physics 2022-03-18 Martin A. Mojahed , Tomáš Brauner

Soft limits of inflationary correlation functions are both observationally relevant and theoretically robust. Various theorems can be proven about them that are insensitive to detailed model-building assumptions. In this paper, we re-derive…

High Energy Physics - Theory · Physics 2015-06-04 Valentin Assassi , Daniel Baumann , Daniel Green

The soft bootstrap is an on-shell method to constrain the landscape of effective field theories (EFTs) of massless particles via the consistency of the low-energy S-matrix. Given assumptions on the on-shell data (particle spectra, linear…

High Energy Physics - Theory · Physics 2019-02-20 Henriette Elvang , Marios Hadjiantonis , Callum R. T. Jones , Shruti Paranjape

Calculating the quantum evolution of a de Sitter universe on superhorizon scales is notoriously difficult. To address this challenge, we introduce the Soft de Sitter Effective Theory (SdSET). This framework holds for superhorizon modes…

High Energy Physics - Theory · Physics 2020-12-30 Timothy Cohen , Daniel Green

In this letter we discuss new soft theorems for the Goldstone boson amplitudes with non-vanishing soft limits. The standard argument is that the non-linearly realized shift symmetry leads to the vanishing of scattering amplitudes in the…

High Energy Physics - Theory · Physics 2020-03-25 Karol Kampf , Jiri Novotny , Mikhail Shifman , Jaroslav Trnka

Soft theorems in gauge theory and gravity encode the universal properties of scattering amplitudes as the zero frequency limit of one or more external states is approached. When the participating particles are treated in the massless limit,…

High Energy Physics - Theory · Physics 2021-07-15 Nikhil Kalyanapuram

We study the soft limits of cosmological correlators from a holographic perspective, showing how the inflationary consistency relations arise from the diffeomorphism invariance of the dual quantum field theory. Starting from the…

High Energy Physics - Theory · Physics 2015-02-17 Paul McFadden

We study the relation between emergent 1-form symmetries and soft photon theorems in QED. We show that in the relevant massive and massless kinematic regimes, described respectively by HQET and SCET, the soft sector admits electric and…

High Energy Physics - Theory · Physics 2026-04-08 Luigi Tizzano

We show that in supersymmetric theories, knowing the soft theorem for a single particle in a supermultiplet allows one to immediately determine soft theorems for the remainder of the supermultiplet. While soft theorems in supersymmetric…

High Energy Physics - Theory · Physics 2025-05-07 Adam Tropper

Scattering amplitudes at weak coupling are highly constrained by Lorentz invariance, locality and unitarity, and depend on model details only through coupling constants and particle content. In this paper, we develop an understanding of…

High Energy Physics - Theory · Physics 2019-11-01 Nima Arkani-Hamed , Daniel Baumann , Hayden Lee , Guilherme L. Pimentel
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