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We give an overview of the implementation of the soft-bootstrap method applied to the landscape of theories where the Special Galileon couples to a massless vector particle. We also describe the corresponding traditional Lagrangian approach…

High Energy Physics - Theory · Physics 2021-01-14 Filip Přeučil

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

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…

High Energy Physics - Theory · Physics 2017-04-26 Antonio Padilla , David Stefanyszyn , Toby Wilson

We classify four-dimensional effective field theories (EFTs) with enhanced soft limits, which arise due to non-linearly realised symmetries on the Goldstone modes of such theories. We present an algorithm for deriving all possible algebras…

High Energy Physics - Theory · Physics 2019-09-04 Diederik Roest , David Stefanyszyn , Pelle Werkman

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…

High Energy Physics - Theory · Physics 2017-03-08 Clifford Cheung , Karol Kampf , Jiri Novotny , Chia-Hsien Shen , Jaroslav Trnka

Exceptional theories are a group of one-parameter scalar field theories with (enhanced) vanishing soft limits in the S-matrix elements. They include the nonlinear sigma model (NLSM), Dirac-Born-Infeld scalars and the special Galileon…

High Energy Physics - Theory · Physics 2019-05-01 Zhewei Yin

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 initiate the study of multi-flavor Galileon theories using the methods of scattering amplitudes. We explore this topic from different perspectives and extend the techniques employed so far mainly in the single-flavor case.…

High Energy Physics - Theory · Physics 2020-12-30 Karol Kampf , Jiri Novotny

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…

High Energy Physics - Theory · Physics 2021-01-28 Ian Low , Zhewei Yin

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…

High Energy Physics - Theory · Physics 2015-06-10 Clifford Cheung , Karol Kampf , Jiri Novotny , Jaroslav Trnka

In this paper, we explore the nonsingular cosmology within the framework of the Effective Field Theory(EFT) of cosmological perturbations. Due to the recently proved no-go theorem, any nonsingular cosmological models based on the cubic…

General Relativity and Quantum Cosmology · Physics 2017-01-24 Yong Cai , Youping Wan , Hai-Guang Li , Taotao Qiu , Yun-Song Piao

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

We derive analytic constraints on the weakly-coupled spectrum of theories with a massless scalar under the standard assumptions of the S-matrix bootstrap program. These bootstrap bounds apply to any theory (with or without gravity) with…

High Energy Physics - Theory · Physics 2025-04-18 Justin Berman , Nicholas Geiser

We present a novel approach to classify supersymmetric effective field theories (EFTs) whose scattering amplitudes exhibit enhanced soft limits. These enhancements arise due to non-linearly realised symmetries on the Goldstone modes of such…

High Energy Physics - Theory · Physics 2020-01-08 Diederik Roest , David Stefanyszyn , Pelle Werkman

Based on the Effective Field Theory (EFT) of cosmological perturbations, we explicitly clarify the pathology in nonsingular cubic Galileon models and show how to cure it in EFT with new insights into this issue. With the least set of EFT…

General Relativity and Quantum Cosmology · Physics 2017-06-13 Yong Cai , Hai-Guang Li , Taotao Qiu , Yun-Song Piao

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…

High Energy Physics - Theory · Physics 2025-04-18 Timothy Cohen , Ipak Fadakar , Andreas Helset , Filippo Nardi

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

In the absence of a theory of everything, modern physicists need to rely on other predictive tools and turned to Effective Field Theories (EFTs) in a number of fields, including but not limited to statistical mechanics, condensed matter,…

High Energy Physics - Theory · Physics 2023-08-17 Victor Pozsgay

We show how the flat spacetime Galileon field theories (FSGFT) in arbitrary dimensions can be obtained through a Born-Infeld type structure. This construction involves a brane metric and non-linear combinations of derivatives of a scalar…

High Energy Physics - Theory · Physics 2016-02-22 Cuauhtemoc Campuzano , Ruben Cordero , Miguel Cruz , Efrain Rojas

These lectures aim to provide a pedagogical introduction to the philosophical underpinnings and technical features of Effective Field Theory (EFT). Improving control of $S$-matrix elements in the presence of a large hierarchy of physical…

High Energy Physics - Phenomenology · Physics 2020-08-31 Timothy Cohen
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