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Full-Text Articles in Physics

Numerical Exploration Of Three Relativistic Particles In A Finite Volume Including Two-Particle Resonances And Bound States, Fernando Romero-López, Stephen R. Sharpe, Tyler D. Blanton, Raúl A. Briceño, Maxwell T. Hansen Oct 2019

Numerical Exploration Of Three Relativistic Particles In A Finite Volume Including Two-Particle Resonances And Bound States, Fernando Romero-López, Stephen R. Sharpe, Tyler D. Blanton, Raúl A. Briceño, Maxwell T. Hansen

Physics Faculty Publications

In this work, we use an extension of the quantization condition, given in ref. [1], to numerically explore the finite-volume spectrum of three relativistic particles, in the case that two-particle subsets are either resonant or bound. The original form of the relativistic three-particle quantization condition was derived under a technical assumption on the two-particle K matrix that required the absence of two-particle bound states or narrow two-particle resonances. Here we describe how this restriction can be lifted in a simple way using the freedom in the definition of the K-matrix-like quantity that enters the quantization condition. With this in hand ...


On Different Parametrizations Of Feynman Integrals, Ray Daniel Sameshima Sep 2019

On Different Parametrizations Of Feynman Integrals, Ray Daniel Sameshima

Dissertations, Theses, and Capstone Projects

In this doctoral thesis, we discuss and apply advanced techniques for the calculations of scattering amplitudes which, on the one hand, allow us to compute cross sections and differential distributions at high precision and, on the other hand, give us deep mathematical insights on the mathematical structures of Feynman integrals.

We start by presenting phenomenological calculations relevant for the experimental analyses at the Large Hadron Collider. We use the resummation of soft gluon emission corrections to study the associated production of a top pair and a Z boson to next-to-next-to-leading logarithmic accuracy, and compute the total cross section and differential ...


Primary Fields In Celestial Cft, Angelos Fotopoulos, Tomasz R. Taylor Jan 2019

Primary Fields In Celestial Cft, Angelos Fotopoulos, Tomasz R. Taylor

Biological and Physical Sciences Department Faculty Works

The basic ingredient of CCFT holography is to regard four-dimensional amplitudes describing conformal wave packets as two-dimensional conformal correlation functions of the operators associated to external particles. By construction, these operators transform as quasi-primary fields under SL(2, ℂ) conformal symmetry group of the celestial sphere. We derive the OPE of the CCFT energy-momentum tensor with the operators representing gauge bosons and show that they transform as Virasoro primaries under diffeomorphisms of the celestial sphere.


Soft Limits Of Yang-Mills Amplitudes And Conformal Correlators, Wei Fan, Angelos Fotopoulos, Tomasz R. Taylor Jan 2019

Soft Limits Of Yang-Mills Amplitudes And Conformal Correlators, Wei Fan, Angelos Fotopoulos, Tomasz R. Taylor

Biological and Physical Sciences Department Faculty Works

We study tree-level celestial amplitudes in Yang-Mills theory — Mellin transforms of multi-gluon scattering amplitudes that convert them into the correlators of conformal primary fields on two-dimensional celestial sphere. By using purely field-theoretical methods, we show that the soft conformal limit of celestial amplitudes, in which one of the primary field operators associated to gauge bosons becomes a dimension one current, is dominated by the contributions of low-energy soft particles. This result confirms conclusions reached by using Yang-Mills theory formulated in curvilinear coordinates, as pioneered by Strominger. By using well-known collinear limits of Yang-Mills amplitudes, we derive the OPE rules for ...


Computational Techniques For Scattering Amplitudes, Juliano A. Everett Dec 2018

Computational Techniques For Scattering Amplitudes, Juliano A. Everett

Publications and Research

Scattering amplitudes in quantum field theory can be described as the probability of a scattering process to happen within a high energy particle interaction, as well as a bridge between experimental measurements and the prediction of the theory.

In this research project, we explore the Standard Model of Particle Theory, it’s representation in terms of Feynman diagrams and the algebraic formulas associated with each combination.

Using the FeynArts program as a tool for generating Feynman diagrams, we evaluate the expressions of a set of physical processes, and explain why these techniques become necessary to achieve this goal.


All Tree Level Scattering Amplitudes In Chern-Simons Theories With Fundamental Matter, Karthik Inbasekar, Sachin Jain, Pranjal Nayak, V. Umesh Oct 2018

All Tree Level Scattering Amplitudes In Chern-Simons Theories With Fundamental Matter, Karthik Inbasekar, Sachin Jain, Pranjal Nayak, V. Umesh

Physics and Astronomy Faculty Publications

We show that Britto-Cachazo-Feng-Witten (BCFW) recursion relations can be used to compute all tree level scattering amplitudes in terms of 2 → 2 scattering amplitude in U(N) 𝒩 = 2 Chern-Simons (CS) theory coupled to matter in the fundamental representation. As a by-product, we also obtain a recursion relation for the CS theory coupled to regular fermions, even though in this case standard BCFW deformations do not have a good asymptotic behavior. Moreover, at large N, 2 → 2 scattering can be computed exactly to all orders in ’t Hooft coupling as was done in earlier works by some of the authors ...


Nucleon-Nucleon Spin Dependent Scattering Amplitudes To Describe Final State Interactions In Electromagnetic And Electroweak Nuclear Processes, William P. Ford Jul 2003

Nucleon-Nucleon Spin Dependent Scattering Amplitudes To Describe Final State Interactions In Electromagnetic And Electroweak Nuclear Processes, William P. Ford

Physics Theses & Dissertations

There are currently no models readily available that provide nucleon-nucleon spin dependent scattering amplitudes at high energies ( s ≥ 6 GeV2). This work aims to provide a model for calculating these high-energy scattering amplitudes. The foundation of the model is Regge theory since it allows for a relativistic description and full spin dependence. A parameterization of the amplitudes is presented. and comparisons of the solution to the assembled data set are shown. In addition, an application of the model to describe final state interactions in deuteron electrodisintegration is presented. Overall the model works as intended, and provides an adequate description ...