Large next-to-leading order QCD corrections to pentaquark sum rules

Abstract

Using configuration space techniques, we calculate next-to-leading order (NLO) five-loop QCD corrections to the correlators of interpolating pentaquark currents in the limit of massless quarks. We obtain very large NLO corrections to the spectral density which makes a standard sum rule analysis problematic. However, the NLO corrections to the correlator in configuration space are reasonable. We discuss the implications of our results for the phenomenological sum rule analysis of pentaquark states.

arXiv comment4 pages, including 3 encapsulated PostScript figures

References in corpus (12)

• Exotic Anti-Decuplet of Baryons: Prediction from Chiral Solitons
• H-dibaryon
• On the evaluation of sunset-type Feynman diagrams
• Hunting for glueballs in electron-positron annihilation
• A new technique for computing the spectral density of sunset-type diagrams: integral transformation in configuration space
• Two-loop calculations for the propagators of gluonic currents. Erratum
• Modern theory of nuclear forces
• A QCD sum rule analysis of the pentaquark
• Are the pentaquark sum rules reliable?
• A Comparative Study of Pentaquark Interpolating Currents
• $O({\alpha }_s)$ corrections to the correlator of finite mass baryon currents
• Configuration Space Based Recurrence Relations for Sunset-Type Diagrams

Cited by in corpus (7)

• Recent Progress in QCD Condensate Evaluations and Sum Rules
• Instanton interpolating current for $\sigma$--tetraquark
• Heavy baryon properties with NLO accuracy in perturbative QCD
• Next-to-Leading Order perturbative QCD corrections to baryon correlators in matter
• Perturbative $O({\alpha }_s)$ corrections to the correlation functions of light tetraquark currents
• Investigation of ${\Delta }^0{\Delta }^0$ dibaryon in QCD
• Calculating loops without loop calculations: NLO computation of pentaquark correlators