Isovector and flavor-diagonal charges of the nucleon

Rajan Gupta, Tanmoy Bhattacharya, Yong-Chull Jang, Huey-Wen Lin, Boram Yoon, M. Della Morte, P. Fritzsch, E. Gámiz Sánchez, C. Pena Ruano
2018 EPJ Web of Conferences  
We present an update on the status of the calculations of isovector and flavor-diagonal charges of the nucleon. The calculations of the isovector charges are being done using ten $2+1+1$-flavor HISQ ensembles generated by the MILC collaboration covering the range of lattice spacings $a \approx$ 0.12, 0.09, 0.06 fm and pion masses $M_\pi \approx$ 310, 220, 130 MeV. Excited-states contamination is controlled by using four-state fits to two-point correlators and three-states fits to the
more » ... s to the three-point correlators. The calculations of the disconnected diagrams needed to estimate flavor-diagonal charges are being done on a subset of six ensembles using the stocastic method. Final results are obtained using a simultaneous fit in $M_\pi^2$, the lattice spacing $a$ and the finite volume parameter $M_\pi L$ keeping only the leading order corrections.
doi:10.1051/epjconf/201817506029 fatcat:q4p3ugi7gfgvvjxij74a6mg4pm