English

Chiral expansion of nucleon PDF at $x\sim m_\pi/M_N$

High Energy Physics - Phenomenology 2014-04-08 v1 Nuclear Theory

Abstract

Based on the chiral perturbation theory, we investigate the low-energy dynamics of nucleon parton distributions. We show that in different regions of the momentum fraction xx the chiral expansion is significantly different. For nucleon parton distributions these regions are characterized by x1x\sim1, xmπ/MNx\sim m_\pi/M_N and x(mπ/MN)2x\sim (m_\pi/M_N)^2. We derive extended counting rules for each region and obtain model-independent results for the nucleon parton distributions down to xmπ2/MN2102x\gtrsim m^2_\pi/M^2_N \approx 10^{-2}.

Keywords

Cite

@article{arxiv.1311.3433,
  title  = {Chiral expansion of nucleon PDF at $x\sim m_\pi/M_N$},
  author = {A. Moiseeva and A. A. Vladimirov},
  journal= {arXiv preprint arXiv:1311.3433},
  year   = {2014}
}

Comments

9 pages, 4 figures. Invited contribution presented at the Lightcone 2013+ Conference, Skiathos, Greece, 20-24 May, 2013. To be published in Few Body Systems