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We consider a 2D ballistic and quasi-ballistic structures with spin-orbit-related splitting of the electron spectrum. The ballistic region is attached to the leads with a voltage applied between them. We calculate the edge spin density…

Mesoscale and Nanoscale Physics · Physics 2015-06-04 Alexander Khaetskii , Eugene Sukhorukov

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

The relativistic scattering of spin-0 bosons by spherically symmetric Coulomb fields is analyzed in detail with an arbitrary mixing of vector and scalar couplings. It is shown that the partial wave series reduces the scattering amplitude to…

Nuclear Theory · Physics 2015-06-23 M. G. Garcia , A. S. de Castro

Positivity bounds provide conditions that a consistent UV-completion exists for a quantum field theory. We examine their application to Horndeski gravity models reconstructed from the effective field theory (EFT) of dark energy. This…

General Relativity and Quantum Cosmology · Physics 2020-09-09 Joe Kennedy , Lucas Lombriser

We present unitarity as a method for determining the infinities present in graviton scattering amplitudes. The infinities are a combination of IR and UV. By understanding the soft singularities we may extract the UV infinities and relate…

High Energy Physics - Theory · Physics 2009-10-28 D. C. Dunbar , P. S. Norridge

The requirements of unitarity and causality lead to significant constraints on the Wilson coefficients of an EFT expansion, known as positivity bounds. Their standard derivation relies on the crucial assumption of polynomial boundedness on…

High Energy Physics - Theory · Physics 2025-02-20 Luca Buoninfante , Long-Qi Shao , Anna Tokareva

Motivated by scalar-tensor gravities, we consider a theory which contains massless scalar fields with different sound speeds. We derive unitarity relations for partial wave amplitudes of $2 \to 2$ scattering, with explicit formulas for…

High Energy Physics - Theory · Physics 2022-06-09 Y. Ageeva , P. Petrov

We study the soft behavior of string scattering amplitudes at three level with massless and massive external insertions, relying on different techniques to compute 4-points amplitudes respectively with open or closed strings.

High Energy Physics - Theory · Physics 2016-01-15 Massimo Bianchi , Andrea L. Guerrieri

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 consider the scattering of two-bosons with negative parity and spin 0 or 1. Starting from helicity partial-wave scattering amplitudes we derive transformations that eliminate all kinematical constraints. Such amplitudes are expected to…

High Energy Physics - Phenomenology · Physics 2015-06-03 M. F. M. Lutz , I. Vidana

The Wilson coefficients of the Standard Model Effective Field Theory are subject to a series of positivity bounds. It has been shown that, while the positivity part of the UV partial wave unitarity leads to the Wilson coefficients living in…

High Energy Physics - Phenomenology · Physics 2024-04-09 Dong-Yu Hong , Zhuo-Hui Wang , Shuang-Yong Zhou

We analyze the low-energy behavior of scattering amplitudes involving gravitons at loop level in four dimensions. The single-graviton soft limit is controlled by soft operators which have been argued to separate into a factorized piece and…

High Energy Physics - Theory · Physics 2014-11-11 Johannes Broedel , Marius de Leeuw , Jan Plefka , Matteo Rosso

Massless scattering amplitudes in four-dimensional Minkowski spacetime can be Mellin transformed to correlation functions on the celestial sphere at null infinity called celestial amplitudes. We study various properties of massless…

High Energy Physics - Theory · Physics 2019-10-23 Dhritiman Nandan , Anders Schreiber , Anastasia Volovich , Michael Zlotnikov

We study effective actions for simultaneous breaking of space-time and internal symmetries. Novel features arise due to the mixing of Goldstone modes under the broken symmetries which, in contrast to the usual Adler's zero, leads to…

High Energy Physics - Theory · Physics 2016-11-04 Massimo Bianchi , Andrea L. Guerrieri , Yu-tin Huang , Chao-Jung Lee , Congkao Wen

The EFT coefficients in any gapped, scalar, Lorentz invariant field theory must satisfy positivity requirements if there is to exist a local, analytic Wilsonian UV completion. We apply these bounds to the tree level scattering amplitudes…

High Energy Physics - Theory · Physics 2017-10-25 Claudia de Rham , Scott Melville , Andrew J. Tolley , Shuang-Yong Zhou

We study the spectrum of pure massless higher spin theories in $AdS_3$. The light spectrum is given by a tower of massless particles of spin $s=2,\cdots,N$ and their multi-particles states. Their contribution to the torus partition function…

High Energy Physics - Theory · Physics 2020-12-30 Luis F. Alday , Jin-Beom Bae , Nathan Benjamin , Carmen Jorge-Diaz

We present a comprehensive reassessment of perturbative unitarity bounds in the dimension-six Standard Model Effective Field Theory, exploiting a new formalism based on spinor-helicity techniques to derive partial-wave unitarity bounds for…

High Energy Physics - Phenomenology · Physics 2026-03-05 Luigi C. Bresciani , Paride Paradisi , Andrea Sainaghi

We find a model-independent upper bound on the strong coupling scale for a massive spin-2 particle coupled to Einstein gravity. Our approach is to directly construct tree-level scattering amplitudes for these degrees of freedom and use them…

High Energy Physics - Theory · Physics 2018-10-17 James Bonifacio , Kurt Hinterbichler

We introduce a covariant Multipole Expansion for the scattering of a massive particle emitting photons or gravitons in $D$ dimensions. We find that these amplitudes exhibit very powerful features such as universality, soft exponentiation,…

High Energy Physics - Theory · Physics 2019-06-17 Yilber Fabian Bautista , Alfredo Guevara

We develop crossing symmetric dispersion relations for describing 2-2 scattering of identical external particles carrying spin. This enables us to import techniques from Geometric Function Theory and study two sided bounds on low energy…

High Energy Physics - Theory · Physics 2022-09-07 Subham Dutta Chowdhury , Kausik Ghosh , Parthiv Haldar , Prashanth Raman , Aninda Sinha