First and second moments of nucleon's parton distribution functions for the sea and valence quarks from lattice QCD

by Dr Mridupawan Deka (Institute of Mathematical Sciences, Chennai)

Thursday 13 Jan 2011, 11:00 → 12:00 Asia/Kolkata

A-304 (Colaba Campus)

The talk will address the study of the first and second moments of the parton distribution functions, particularly those of the sea partons, inside a nucleon. This requires the computation of both the connected and disconnected insertions in Lattice QCD. This has been carried out on a $163 \times 24$ quenched lattice with Wilson fermion. The quark loops are calculated with $Z_2$ noise vectors. Unbiased subtractions and multiple nucleon sources have been used to reduce the statistical errors. We obtain 5 $\sigma$ signals for $\langle x \rangle$ for the u, d, and s quarks, but $\langle x2 \rangle$ is consistent with zero within errors.