Publications
Publication Information
| Title | Radiative decay of the resonant $K^*$ and the $\gamma K \to K \pi$ amplitude from lattice QCD |
| Authors | Jozef Dudek, Robert Edwards, Archana Radhakrishnan |
| JLAB number | JLAB-THY-22-3709 |
| LANL number | arXiv:2208.13755 |
| Other number | DOE/OR/23177-5603 |
| Document Type(s) | (Journal Article) |
| Associated with EIC: | No |
| Supported by Jefferson Lab LDRD Funding: | No |
| Funding Source: | Nuclear Physics (NP) |
|
Journal Compiled for Physical Review D Volume 106 Page(s) 114513 | |
| Publication 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. |
| Experiment Numbers: | other |
| Group: | THEORY CENTER |
| Document: | |
| DOI: | https://doi.org/10.1103/PhysRevD.106.114513 |
| Accepted Manuscript: | PhysRevD.106.114513.pdf |
| Supporting Documents: | |
| Supporting Datasets: | |