Published November 2005 | Version v1
Report

Parton distribution functions with twisted mass fermions

  • 1. Graz Univ. (Austria). Inst. fuer Physik/Theoretische Physik
  • 2. Deutsches Elektronen-Synchrotron (DESY), Zeuthen (Germany). John von Neumann-Inst. fuer Computing NIC
  • 3. Freie Univ. Berlin (Germany). Inst. fuer Theoretische Physik

Description

We present a first Wilson twisted mass fermion calculation fo the matrix element between pion states of the twist-2 operator, which is related to the lowest moment x of the valence quark parton distribution function in a pion. Using Wilson twisted mass fermions in the quenched approximation we demonstrate that x can be computed at small pseudoscalar meson masses down to values of order 250 MeV. We investigate the scaling behaviour of this physically important quantity by applying two definitions of the critical mass and observe a scaling compatible with the expected O(a2) behaviour in both cases. A combined continuum extrapolation allows to obtain reliable results for x at very small pseudoscalar meson masses, which previously could not be explored by lattice QCD simulations. (orig.)

Availability note (English)

Available from TIB Hannover: RA 2999(05-139)

Additional details

Publishing Information

Imprint Pagination
15 p.
ISSN
0418-9833
Report number
DESY--05-139

Optional Information

Collaborations
XLF Collaboration
Secondary number(s)
SFB-CPP--05-35; HEP-LAT--0511013