Abstract
We report on a subpercent scale determination using the omega baryon mass and gradient-flow methods. The calculations are performed on 22 ensembles of Nf=2+1+1 highly improved, rooted staggered sea-quark configurations generated by the MILC and CalLat Collaborations. The valence quark action used is Möbius domain wall fermions solved on these configurations after a gradient-flow smearing is applied with a flowtime of tgf=1 in lattice units. The ensembles span four lattice spacings in the range 0.06a0.15 fm, six pion masses in the range 130mπ400 MeV and multiple lattice volumes. On each ensemble, the gradient-flow scales t0/a2 and w0/a and the omega baryon mass amω are computed. The dimensionless product of these quantities is then extrapolated to the continuum and infinite volume limits and interpolated to the physical light, strange and charm quark mass point in the isospin limit, resulting in the determination of t0=0.1422(14) fm and w0=0.1709(11) fm with all sources of statistical and systematic uncertainty accounted for. The dominant uncertainty in both results is the stochastic uncertainty, though for t0 there are comparable continuum extrapolation uncertainties. For w0, there is a clear path for a few-per-mille uncertainty just through improved stochastic precision, as recently obtained by the Budapest-Marseille-Wuppertal Collaboration.
| Original language | English |
|---|---|
| Article number | 054511 |
| Journal | Physical Review D |
| Volume | 103 |
| Issue number | 5 |
| DOIs | |
| State | Published - Mar 24 2021 |
| Externally published | Yes |
Funding
We thank M. Goltermann and O. Bär for useful discussion and correspondence about the chiral corrections to . We thank Andrea Shindler for helpful discussions regarding reweighting. We thank Peter Lepage for helpful correspondence regarding lsqfit and the log Gaussian Bayes factor. We thank K. Orginos for use of wm_chroma that was used to compute some of the correlation functions used in this work. We thank the MILC Collaboration for providing some of the HISQ configurations used in this work, and A. Bazavov, C. Detar, and D. Toussaint for guidance on using their code to generate the new HISQ ensembles also used in this work. We thank R. Sommer for helpful correspondence and encouragement to determine as well as . Computing time for this work was provided through the Innovative and Novel Computational Impact on Theory and Experiment (INCITE) program and the LLNL Multiprogrammatic and Institutional Computing program for Grand Challenge allocations on the LLNL supercomputers. This research utilized the NVIDIA GPU-accelerated Titan and Summit supercomputers at Oak Ridge Leadership Computing Facility at the Oak Ridge National Laboratory, which is supported by the Office of Science of the U.S. Department of Energy under Contract No. DE-AC05-00OR22725 as well as the Surface, RZHasGPU, Pascal, Lassen, and Sierra supercomputers at Lawrence Livermore National Laboratory. The computations were performed utilizing LALIBE which utilizes the c hroma software suite with quda solvers and HDF5 for I/O . They were efficiently managed with METAQ and status of tasks logged with e spresso db . The HMC was performed with the MILC Code , and for the ensembles new in this work, running on GPUs using quda . The final extrapolation analysis utilized gvar v11.2 and lsqfit v11.5.1 . This work was supported by the NVIDIA Corporation (M. A. C), the Alexander von Humboldt Foundation through a Feodor Lynen Research Fellowship (C. K), the DFG and the NSFC Sino-German CRC110 (E. B), the RIKEN Special Postdoctoral Researcher Program (E. R), the U.S. Department of Energy, Office of Science, Office of Nuclear Physics under Awards No. DE-AC02-05CH11231 (C. C. C, C. K, B. H, A. W. L), No. DE-AC52-07NA27344 (D. A. B, D. H, A. S. G, P. V), No. DE-FG02-93ER-40762 (E. B), No. DE-AC05-06OR23177 (C. M); the Nuclear Physics Double Beta Decay Topical Collaboration (D. A. B, H. M. C, A. N, A. W. L); the U.K. Science and Technology Facilities Council Grants No. ST/S005781/1 and No. ST/T000945/1 (C. B); and the DOE Early Career Award Program (C. C. C, A. W. L).
| Funders | Funder number |
|---|---|
| Nuclear Physics Double Beta Decay Topical Collaboration | |
| U.S. Department of Energy | DE-AC05-00OR22725 |
| Alexander von Humboldt-Stiftung | |
| Office of Science | |
| Nuclear Physics | DE-FG02-93ER-40762, DE-AC02-05CH11231, DE-AC52-07NA27344, DE-AC05-06OR23177 |
| NVIDIA | |
| Science and Technology Facilities Council | ST/S005781/1, ST/T000945/1 |
| Deutsche Forschungsgemeinschaft | |
| National Natural Science Foundation of China | |
| RIKEN |