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Publication Information
Title Radiative decay of the resonant $K^*$ and the $\gamma K \to K \pi$ amplitude from lattice QCD
Abstract We present the first calculation in lattice QCD of the process $\gamma K \to K\pi$ in which the narrow $K^*$ vector resonance appears. Using a lattice on which the pion has a mass of 284 MeV, we determine the transition amplitude at 128 points in the $(Q^2, E_{K\!\pi})$ plane, and find suitable resonant scattering descriptions. We demonstrate the need to account for $S$--wave $K\pi$ elastic scattering when converting the finite-volume matrix elements computed in lattice QCD to the physically relevant infinite-volume matrix elements, even when we are primarily interested in the $P$--wave amplitude. Analytically continuing parameterizations of the $\gamma K \to K\pi$ amplitude to the $K^*$ resonance pole, we obtain the $K^{*+} \to K^+ \gamma$ transition form-factor, and compare the $Q^2=0$ value to the corresponding value extracted from the experimental partial-decay width.
Author(s) Jozef Dudek, Robert Edwards, Archana Radhakrishnan
Publication Date December 2022
Document Type Journal Article
Primary Institution Thomas Jefferson National Accelerator Facility, Newport News
Affiliation Theory & Comp Physics / THEORY CENTER / THEORY CENTER
Funding Source Nuclear Physics (NP)
Proprietary? No
This publication conveys Technical Science Results
Document Numbers
JLAB Number: JLAB-THY-22-3709 OSTI Number: 1907408
LANL Number: arXiv:2208.13755 Other Number: DOE/OR/23177-5603
Associated with an experiment No
Associated with EIC No
Supported by Jefferson Lab LDRD Funding No
Journal Article
Journal Name Physical Review D
Refereed No
Volume 106
Issue
Page(s) 114513
Attachments/Datasets/DOI Link
Document(s)
paper62.pdf (STI Document)
PhysRevD.106.114513.pdf (Accepted Manuscript)
DOI Link
Dataset(s) (none)
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