Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2002-10-16
Eur.Phys.J.C18:269-272,2003
Physics
High Energy Physics
High Energy Physics - Lattice
3 pages, 3 figures. Talk given by W. Detmold. at QNP2002
Scientific paper
10.1140/epja/i2002-10214-6
We investigate the connection of lattice calculations of moments of isovector parton distributions to the physical regime through extrapolations in the quark mass. We consider the one pion loop renormalisation of the nucleon matrix elements of the corresponding operators and thereby develop formulae with which to extrapolate the moments of the unpolarised, helicity and transversity distributions. These formulae are consistent with chiral perturbation theory in the chiral limit and incorporate the correct heavy quark limits. In the polarised cases, the inclusion of intermediate states involving the $\Delta$ isobar is found to be very important. The results of our extrapolations are in general agreement with the phenomenological values of these moments where they are known, and for the first time we perform an extrapolation of the low moments of the isovector transversity distribution which is consistent with chiral symmetry.
Detmold William
Melnitchouk Wally
Thomas Anthony W.
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