Power corrections to the process ${\gamma }^{\ast }\gamma \to \pi \pi$ in the running coupling method

Abstract

Power-suppressed corrections coming from the end-point integration regions in the amplitude of the process ${\gamma }^{\ast }\gamma \to \pi \pi$ at large $Q^2$ and small squared center-of-mass energy $W^2$ are calculated in the QCD hard-scattering approach where the amplitudes factorize in a hard perturbatively calculable part and a generalized distribution amplitude. The running coupling method and the technique of infrared renormalon calculus are applied to obtain Borel resummed expressions for the two main components of the process amplitude. Numerical estimates for these power corrections are presented. They are sizeable when $Q^2<10Ge{V}^2$.

15 pages, 5 figures

References in corpus (16)

• Gauge-Invariant Decomposition of Nucleon Spin and Its Spin-Off
• Generalized Parton Distributions
• Renormalons
• Deeply virtual electroproduction of photons and mesons on the nucleon : leading order amplitudes and power corrections
• Probing partonic structure in gamma* gamma -> pi pi near threshold
• Hard exclusive electroproduction of two pions and their resonances
• Crossing and Radon Tomography for Generalized Parton Distributions
• Principal Value Resummation
• NLO corrections and contribution of a tensor gluon operator to the process ${\gamma }^{\ast }\gamma \to \pi \pi$
• Renormalons in Electromagnetic Annihilation Decays of Quarkonium
• Impact Representation of Generalized Distribution Amplitudes
• Measurement of Exclusive rho^0 rho^0 Production in Two-Photon Collisions at High Q^2 at LEP
• Power corrections to the ${\pi }^0\gamma$ transition form factor and pion distribution amplitudes
• Power corrections to the process $\gamma {\gamma }^{\ast }\to \pi \pi$ in the Light-Cone Sum Rules approach
• Power corrections to the space-like transition form factor F_{η^{\prime}g^{*}g^{*}}(Q^2,ω)
• Twist-3 contribution to the ${\gamma }^{\ast }\gamma \to \pi \pi$ amplitude in the Wandzura-Wilczek approximation

Cited by in corpus (3)

• Search for isotensor exotic meson and twist 4 contribution to ${\gamma }^{\ast }\gamma \to \rho \rho$
• Exclusive meson pair production in gamma* gamma scattering at small momentum transfer
• Soft end-point and mass corrections to the eta' g*g* vertex function