Resonance form factors from finite-volume correlation functions with the external field method

A bstract A novel method for the extraction of form factors of unstable particles on the lattice is proposed. The approach is based on the study of two-particle scattering in a static, spatially periodic external field by using a generalization of the Lüscher method in the presence of such a field....

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Published inThe journal of high energy physics Vol. 2022; no. 10; pp. 106 - 39
Main Authors Lozano, Jonathan, Meißner, Ulf-G., Romero-López, Fernando, Rusetsky, Akaki, Schierholz, Gerrit
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 17.10.2022
Springer Nature B.V
Springer Nature
SpringerOpen
Subjects
Classical and Quantum Gravitation
Elementary Particles
Form factors
Hadronic Matrix Elements and Weak Decays
High energy physics
Lattice QCD
Physics
Physics and Astronomy
PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
Resonance
String Theory
Theoretical physics
Hadronic Matrix Elements and Weak Decays
Lattice QCD
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Summary:A bstract A novel method for the extraction of form factors of unstable particles on the lattice is proposed. The approach is based on the study of two-particle scattering in a static, spatially periodic external field by using a generalization of the Lüscher method in the presence of such a field. It is shown that the resonance form factor is given by the derivative of the resonance pole position in the complex plane with respect to the coupling constant to the external field. Unlike the standard approach, this proposal does not suffer from problems caused by the presence of the triangle diagram.
Bibliography:SC0011090; SC0021006
USDOE Office of Science (SC), Nuclear Physics (NP)
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP10(2022)106