Deep inelastic scattering off scalar mesons in the 1/N expansion from the D3D7-brane system

Abstract

Deep inelastic scattering (DIS) of charged leptons off scalar mesons in the $1/N$ expansion is studied by using the gauge/gravity duality. We focus on the D3D7-brane system and investigate the corresponding structure functions by considering both the high energy limit and the $1/N$ expansion. These limits do not commute. From the D7-brane DBI action we derive a Lagrangian at sub-leading order in the D7-brane fluctuations and obtain a number of interactions some of which become relevant for two-hadron final-state DIS. By considering first the high energy limit followed by the large $N$ one, our results fit lattice QCD data within $1.27\%$ for the first three moments of $F_2$ for the lightest pseudoscalar meson.

arXiv comment43 pages, 7 figures

References in corpus (31)

• QCD and a Holographic Model of Hadrons
• Chiral symmetry breaking from five dimensional spaces
• Towards a holographic dual of large-N_c QCD
• Deep Inelastic Scattering and Gauge/String Duality
• Spectral functions at small energies and the electrical conductivity in hot, quenched lattice QCD
• Photon and dilepton production in supersymmetric Yang-Mills plasma
• Soft-Gluon Resummation and the Valence Parton Distribution Function of the Pion
• Distribution Functions of the Nucleon and Pion in the Valence Region
• Pion and Rho Structure Functions from Lattice QCD
• The pion parton distribution function in the valence region
• Glueball Regge trajectories and the Pomeron -- a lattice study --
• Basic features of the pion valence-quark distribution function
• Holographic mesons in various dimensions
• Parton distribution functions in the pion from lattice QCD
• Four-point functions and kaon decays in a minimal AdS/QCD model
• Glueball Regge Trajectories
• On the Delta I = 1/2 Rule in Holographic QCD
• Diagnostics of plasma photoemission at strong coupling
• Parton-distribution functions for the pion and kaon in the gauge-invariant nonlocal chiral-quark model
• Plasma photoemission from string theory
• Plasma conductivity at finite coupling
• Hadron structure functions at small $x$ from string theory
• Pion Valence-quark Parton Distribution Function
• Deep Inelastic Scattering from Holographic Spin-One Hadrons
• Deep inelastic scattering structure functions of holographic spin-1 hadrons with $N_f\ge 1$
• Holographic current correlators at finite coupling and scattering off a supersymmetric plasma
• Two loop partition function for large N pure Yang-Mills theory on a small three-sphere
• Deep inelastic scattering cross sections from the gauge/string duality
• Structure functions in deep inelastic scattering from gauge/string duality beyond single-hadron final states
• Threshold-Resummed Cross Section for the Drell-Yan Process in Pion-Nucleon Collisions at COMPASS
• On 1-loop diagrams in AdS space and the random disorder problem

Cited by in corpus (4)

• Deep inelastic scattering from polarized spin-$1/2$ hadrons at low $x$ from string theory
• DIS off glueballs from string theory: the role of the chiral anomaly and the Chern-Simons term
• 1/N corrections to $F_1$ and $F_2$ structure functions of vector mesons from holography
• Higher-twist fermionic operators and DIS structure functions from the AdS/CFT duality