Generalized parton distributions of the pion in chiral quark models and their QCD evolution

Journal Article · Fri Feb 01 04:00:00 EST 2008 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.77.034023· OSTI ID:21039038

Broniowski, Wojciech ^[1]; Ruiz Arriola, Enrique ^[2]; Golec-Biernat, Krzysztof ^[1]

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1. H. Niewodniczanski Institute of Nuclear Physics, PL-31342 Cracow (Poland)
2. Departamento de Fisica Atomica, Molecular y Nuclear, Universidad de Granada, E-18071 Granada (Spain)

We evaluate generalized parton distributions of the pion in two chiral quark models: the spectral quark model and the Nambu-Jona-Lasinio model with a Pauli-Villars regularization. We proceed by the evaluation of double distributions through the use of a manifestly covariant calculation based on the {alpha} representation of propagators. As a result polynomiality is incorporated automatically and calculations become simple. In addition, positivity and normalization constraints, sum rules, and soft-pion theorems are fulfilled. We obtain explicit formulas, holding at the low-energy quark-model scale. The expressions exhibit no factorization in the t-dependence. The QCD evolution of those parton distributions is carried out to experimentally or lattice accessible scales. We argue for the need of evolution by comparing the parton distribution function and the parton distribution amplitude of the pion to the available experimental and lattice data, and confirm that the quark-model scale is low, about 320 MeV.

• OSTI ID: 21039038
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 3 Vol. 77; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
AMPLITUDES
CHIRALITY
DISTRIBUTION
DISTRIBUTION FUNCTIONS
FACTORIZATION
LATTICE FIELD THEORY
LOW-ENERGY THEOREM
MEV RANGE
PIONS
PROPAGATOR
QUANTUM CHROMODYNAMICS
QUARK MODEL
SUM RULES