Power correctionsto the space-like transition form factor F_η^′g^*g^*(Q²,ω )

2002/12/31 by S. S. Agaev, N. G. Stefanis · 1 citation
Physics and Astronomy · #Context (archaeology) #Coupling (piping) #Form factor (electronics) #Gluon #High-Energy Particle Collisions Research #Massless particle #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #Range (aeronautics) #Renormalon #hep-ph

paper · pdf · doi:10.1140/epjc/s2003-01463-2

published as Eur.Phys.J. C32 (2004) 507-528 · 38 pages, RevTeX4 used. 18 figures as PS/EPS files. Discussion extended; some typos corrected; change of renormalization scale to 1 GeV. Main results unchanged. Matches version to be published in Eur. Phys. J. C

arxiv created 2003/11/03 · openalex publication_date 2004/02/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

Employing the standard hard-scattering approach (HSA) in conjunction with the running-coupling (RC) method, the latter joined with the infrared-renormalon calculus, we compute power-suppressed corrections ∼ 1/Q²ⁿ, n=1, 2,... to the massless η^′ meson - virtual gluon transition form factor (FF) Q²F_η^′g^*g^*(Q²,ω). Contributions to the form factor from the quark and gluon components of the η^′ meson are taken into account. Analytic expressions for the FF's F_η^′gg^*(Q²,ω=± 1) and F_η^′g^*g^*(Q²,ω=0) are also presented, as well as Borel transforms B[Q²F_η^′g^*g^*](u) and resummed expressions. It is shown that except for ω=± 1, 0, the Borel transform contains an infinite number of infrared renormalon poles. It is demonstrated that in the explored range of the total gluon virtuality 1 \rm GeV² ≤ Q² ≤ 25 \rm GeV², power corrections found with the RC method considerably enhance the FF F_η^′g^*g^*(Q², ω) relative to results obtained only in the context of the standard HSA with a ``frozen'' coupling.

Citations

• η′g*g*vertex with arbitrary gluon virtualities in the perturbative QCD hard scattering approach
• Analytic Model for the QCD Running Coupling with Universalα¯s(0)Value
• Enhancedb→sgDecay, Inclusiveη′Production, and the Gluon Anomaly
• QCD Factorization forB→ππDecays: Strong Phases andCPViolation in the Heavy Quark Limit

Cited by

• Soft end-point and mass corrections to the η′g*g* vertex function