Publications
Publication Information
| Title | Calculating the $\rho$ radiative decay width with lattice QCD |
| Authors | Luka Leskovec, Constantia Alexandrou, Stefan Meinel, John Negele, Srijit Paul, Marcus Petschlies, Andrew Pochinsky, Gumaro Rendon, Sergey Syritsyn |
| JLAB number | JLAB-THY-18-2874 |
| LANL number | (None) |
| Other number | DOE/OR/23177-6312 |
| Document Type(s) | (Meeting) |
| Associated with EIC: | No |
| Supported by Jefferson Lab LDRD Funding: | No |
| Funding Source: | Nuclear Physics (NP) |
|
Meeting Paper compiled for The 36th Annual International Symposium on Lattice Field Theory Proceedings LATTICE2018 Edited By PoS (2018) Page(s) 65 | |
| Publication Abstract: | We present the results of our lattice QCD study of the $\pi\gamma\to\pi\pi$ process, where the $\rho$ resonance appears as an enhancement in the transition amplitude. We use $N_f=2+1$ clover fermions on a lattice of $L=3.6$ fm and a pion mass of $320$ MeV. Using a combination of forward, stochastic, and sequential propagators, we calculate the two-point and three-point functions that allow us to determine the $\pi\gamma\to\pi\pi$ matrix elements for several values of the invariant mass $s$ and momentum transfer $q^2$. To fit the $q^2$ and $s$ dependence of the $\pi\gamma\to\pi\pi$ amplitude, we explore a set of general parametrizations based on a Taylor expansion. By analytic continuation to the complex pole corresponding to the $\rho$ resonance, we determine the resonant form factors and calculate the radiative decay width of the $\rho$. |
| Experiment Numbers: | other |
| Group: | THEORY CENTER |
| Document: | |
| DOI: | https://doi.org/10.22323/1.334.0065 |
| Accepted Manuscript: | LATTICE2018_065.pdf |
| Supporting Documents: | |
| Supporting Datasets: | |