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Related papers: Amplitudes and partial wave unitarity bounds

200 papers

We analyze the one-loop effects of massive fields on 2-to-2 scattering processes involving gravitons. It has been suggested that in the presence of gravity, any local effective field theory description must break down at the "species…

High Energy Physics - Theory · Physics 2024-08-27 Simon Caron-Huot , Yue-Zhou Li

In a recent letter we suggested a natural generalization of the flat-space spinor-helicity formalism in four dimensions to anti-de Sitter space. In the present paper we give some technical details that were left implicit previously. For…

High Energy Physics - Theory · Physics 2020-07-15 Balakrishnan Nagaraj , Dmitry Ponomarev

We derive the complete set of positivity bounds for the leading-twist parton distribution functions (PDFs) of a spin-3/2 hadron for the first time. This work generalizes the Soffer bound, a fundamental constraint for spin-1/2 nucleons, to…

High Energy Physics - Phenomenology · Physics 2026-02-13 Dongyan Fu , Yubing Dong , S. Kumano , Ju-Jun Xie

In this paper we derive a quasi unitarity bound on the radion mass ($\mphi$) from the process $hh\to \phi\phi$. We find that at sufficiently high energies (i.e. when $ s\gg m_h^2, \mphi^2 $) the J=0 partial wave amplitude for the above…

High Energy Physics - Phenomenology · Physics 2007-05-23 Uma Mahanta

We introduce a helicity-chirality spinor formalism to describe scattering amplitudes for particles of any masses and spins. The massive spin-spinors introduced by Arkani-hamed-Huang-Huang have been extended to the…

High Energy Physics - Phenomenology · Physics 2025-02-10 Yu-Han Ni , Yi-Ning Wang , Chao Wu , Jiang-Hao Yu

An helicity formalism for perturbative calculations is presented. It is based on the formal insertion in spinor lines of a complete set of states built up with unphysical spinors. It is particularly convenient when massive spinors are…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. Ballestrero , E. Maina

We explore the effective field theory for single and multiple interacting pseudo-linear spin-2 fields. By applying forward limit positivity bounds, we show that among the parameters contributing to elastic tree level scattering amplitude,…

High Energy Physics - Theory · Physics 2020-08-26 Lasma Alberte , Claudia de Rham , Arshia Momeni , Justinas Rumbutis , Andrew J. Tolley

We here use our non-perturbative, cluster decomposable relativistic scattering formalism to calculate photon-spinor scattering, including the related particle-antiparticle annihilation amplitude. We start from a three-body system in which…

High Energy Physics - Theory · Physics 2007-05-23 James Lindesay , H. Pierre Noyes

The validity of the tree-unitarity criterion for scattering amplitudes on the noncommutative space-time is considered, as a condition that can be used to shed light on the problem of unitarity violation in noncommutative quantum field…

High Energy Physics - Theory · Physics 2009-11-10 M. Chaichian , C. Montonen , A. Tureanu

The presence of a massless spin-2 field in an effective field theory results in a $t$-channel pole in the scattering amplitudes that precludes the application of standard positivity bounds. Despite this, recent arguments based on…

High Energy Physics - Theory · Physics 2021-01-04 Lasma Alberte , Claudia de Rham , Sumer Jaitly , Andrew J. Tolley

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

This thesis describes some of the recent (and some less recent) developments in calculational techniques for scattering amplitudes in quantum field theory. The focus is on on-shell recursion relations in complex momenta and on the use of…

High Energy Physics - Theory · Physics 2008-04-22 Kasper Risager

We study 2-to-2 scattering amplitudes of massless spin one particles in $d=4$ space-time dimensions, like real world photons. We define a set of non-perturbative observables (Wilson coefficients) which describe these amplitudes at low…

High Energy Physics - Theory · Physics 2024-10-25 Kelian Häring , Aditya Hebbar , Denis Karateev , Marco Meineri , João Penedones

We derive new positivity bounds at finite momentum transfer, assuming a large separation between the mass $m$ of the lightest particle in the effective theory and the mass gap $M$ to new heavy states. Massive gravity parametrically violates…

High Energy Physics - Theory · Physics 2024-02-06 Brando Bellazzini , Giulia Isabella , Sergio Ricossa , Francesco Riva

We study bounds arising from the analyticity and unitarity of scattering amplitudes in the context of effective field theories with massless particles. We provide an approach that only uses dispersion relations away from the forward limit.…

High Energy Physics - Theory · Physics 2025-10-10 Carl Beadle , Giulia Isabella , Davide Perrone , Sara Ricossa , Francesco Riva , Francesco Serra

We study the impact of full unitarity on the moment structure of forward scattering amplitudes. We introduce the semiarcs, calculable quantities in the EFT dispersively related to both real and imaginary parts of the UV amplitude for a…

High Energy Physics - Theory · Physics 2023-01-02 Marc Riembau

Within general partial-wave mixing, a method for reducing the high dimension of the finite-volume Hamiltonian from Hamiltonian effective field theory is proposed. This method provides a new viewpoint on partial-wave mixing, and a set of…

High Energy Physics - Lattice · Physics 2019-12-11 Yan Li , Jia-jun Wu , Curtis D. Abell , Derek B. Leinweber , Anthony W. Thomas

In this letter, we study the implications of unitary completion of quantum gravity on the low energy spectrums, through an infinite set of unitarity bounds on the forward-limit scattering amplitudes. In three dimensions, we find that light…

High Energy Physics - Theory · Physics 2019-07-31 Wei-Ming Chen , Yu-tin Huang , Toshifumi Noumi , Congkao Wen

Causality constrains the gravitational interactions of massive higher spin particles in both AdS and flat spacetime. We explore the extent to which these constraints apply to composite particles, explaining why they do not rule out…

High Energy Physics - Theory · Physics 2020-01-29 Jared Kaplan , Sandipan Kundu

In Quantum Field Theory, scattering amplitudes are computed from propagators which, for internal lines, are built upon spin/polarization-sum relationships. In turn, these are normally constructed upon plane-wave solutions of the free field…

General Physics · Physics 2024-01-26 Rodolfo José Bueno Rogerio , Luca Fabbri