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相关论文: Soft Theorems for Boostless Amplitudes

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We derive soft theorems for on-shell scattering amplitudes from non-linearly realised global space-time symmetries, arising from the flat space and decoupling limits of the effective field theories (EFTs) of inflation, while taking…

高能物理 - 理论 · 物理学 2025-01-14 Zong-Zhe Du

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,…

高能物理 - 理论 · 物理学 2022-04-20 Clifford Cheung , Andreas Helset , Julio Parra-Martinez

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…

高能物理 - 理论 · 物理学 2023-03-01 Lam Hui , Austin Joyce , Ilia Komissarov , Klaas Parmentier , Luca Santoni , Sam S. C. Wong

The soft bootstrap program aims to construct consistent effective field theories (EFT's) by recursively imposing the desired soft limit on tree-level scattering amplitudes through on-shell recursion relations. A prime example is the leading…

高能物理 - 理论 · 物理学 2021-01-28 Ian Low , Zhewei Yin

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…

高能物理 - 理论 · 物理学 2019-02-20 Henriette Elvang , Marios Hadjiantonis , Callum R. T. Jones , Shruti Paranjape

We derive scalar effective field theories - Lagrangians, symmetries, and all - from on-shell scattering amplitudes constructed purely from Lorentz invariance, factorization, a fixed power counting order in derivatives, and a fixed order at…

高能物理 - 理论 · 物理学 2015-06-10 Clifford Cheung , Karol Kampf , Jiri Novotny , Jaroslav Trnka

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…

高能物理 - 理论 · 物理学 2024-09-17 Karol Kampf , Jiri Novotny , Mikhail Shifman , Jaroslav Trnka

We investigate the soft behaviour of scalar effective field theories (EFTs) when there is a number of distinct derivative power counting parameters, $\rho_1< \rho_2<\ldots < \rho_Q$. We clarify the notion of an enhanced soft limit and use…

高能物理 - 理论 · 物理学 2017-04-26 Antonio Padilla , David Stefanyszyn , Toby Wilson

We use the amplitude soft bootstrap method to explore the space of effective field theories (EFT) of massless vectors and scalars. It is known that demanding vanishing soft limits fixes uniquely a special class of EFTs: non-linear sigma…

高能物理 - 理论 · 物理学 2021-08-04 Karol Kampf , Jiri Novotny , Filip Preucil , Jaroslav Trnka

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…

高能物理 - 理论 · 物理学 2020-03-25 Karol Kampf , Jiri Novotny , Mikhail Shifman , Jaroslav Trnka

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…

高能物理 - 理论 · 物理学 2023-03-29 Noah Bittermann , Austin Joyce

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…

高能物理 - 理论 · 物理学 2022-03-18 Martin A. Mojahed , Tomáš Brauner

We systematically explore the space of scalar effective field theories (EFTs) consistent with a Lorentz invariant and local S-matrix. To do so we define an EFT classification based on four parameters characterizing 1) the number of…

高能物理 - 理论 · 物理学 2017-03-08 Clifford Cheung , Karol Kampf , Jiri Novotny , Chia-Hsien Shen , 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$\oplus \phi^3$…

高能物理 - 理论 · 物理学 2019-02-27 Laurentiu Rodina

We extend the soft theorems for scattering amplitudes of scalar effective field theories to one-loop order. Our analysis requires carefully accounting for the fact that the soft limit is not guaranteed to commute with evaluating…

高能物理 - 理论 · 物理学 2025-04-18 Timothy Cohen , Ipak Fadakar , Andreas Helset , Filippo Nardi

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…

高能物理 - 理论 · 物理学 2023-03-08 Daniel Green , Yiwen Huang , Chia-Hsien Shen

The soft limits of scattering amplitudes have been extensively studied due to their essential role in the computation of physical observables in collider physics. The universal factorisation that occurs in these kinematic limits has been…

高能物理 - 理论 · 物理学 2022-12-14 Tristan McLoughlin , Andrea Puhm , Ana-Maria Raclariu

Much of our intuition about Effective Field Theories (EFTs) stems from their formulation in flat spacetime, yet EFTs have become indispensable tools in cosmology, where time-dependent backgrounds are the norm. In this work, we demonstrate…

高能物理 - 理论 · 物理学 2026-01-09 Carlos Duaso Pueyo , Harry Goodhew , Ciaran McCulloch , Enrico Pajer

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…

高能物理 - 理论 · 物理学 2026-04-14 Farman Ullah

A central feature of scattering amplitudes in gravity or gauge theory is the existence of a variety of energetically soft theorems which put constraints on the amplitudes. Celestial amplitudes which are obtained from momentum-space…

高能物理 - 理论 · 物理学 2020-10-28 Andrea Puhm
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