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Form Factor of the Process {gamma}{sup *}{gamma}{sup *} -> {pi} {sup 0} for Small Virtuality of One of the Photons and QCD Sum Rules (2): Sum Rule

Technical Report:

Abstract

We extend the QCD sum rule analysis of the F{sub {gamma}}{sup *}{sub {gamma}}{sup *} -> {pi}{sup 0} (q{sup 2}{sub 1}, q{sup 2}{sub 2}) form factor into the region where one of the photons has small virtuality: |q{sup 2}{sub 1}| << |q{sup 2}{sub 2}| {>=} 1 GeV{sup 2}. In this kinematics one should perform an additional factorization of short- and long-distance contributions. The extra long distance sensitivity of the three-point amplitude is described by two-point correlators (bi locals), and the low-momentum dependence of the correlators involving composite operators of two lowest twists is extracted from auxiliary QCD sum rules. The sum rule obtained is regular in the limit q{sup 2}{sub 1} -> 0. Our estimates for F{sub {gamma}}{sup *}{sub {gamma}}{sup *} -> {pi}{sup 0} (q{sup 2}{sub 1} = 0, Q{sup 2}{sub 2}) are in good agreement with existing experimental data. (author). 22 refs.; 3 figs.
Authors:
Radyushkin, A V; [1]  Ruskov, R [2] 
  1. Joint Inst. for Nuclear Research, Dubna (Russian Federation). Lab. of Theoretical Physics
  2. Bylgarska Akademiya na Naukite, Sofia (Bulgaria). Inst. za Yadrena Izsledvaniya i Yadrena Energetika
Publication Date:
Dec 31, 1994
Product Type:
Technical Report
Report Number:
JINR-E-2-94-248
Reference Number:
SCA: 662230; 662390; PA: AIX-26:012646; EDB-95:032316; SN: 95001324896
Resource Relation:
Other Information: DN: Submitted to Yadernaya Fizika.; PBD: 1994
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; SUM RULES; FORM FACTORS; PHOTON-PHOTON INTERACTIONS; VIRTUAL STATES; FEYNMAN DIAGRAM; NUMERICAL SOLUTION; PIONS NEUTRAL; QUANTUM CHROMODYNAMICS; 662230; 662390; ELECTROMAGNETIC PROCESSES AND PROPERTIES
OSTI ID:
10112560
Research Organizations:
Joint Inst. for Nuclear Research, Dubna (Russian Federation). Lab. of Theoretical Physics
Country of Origin:
JINR
Language:
English
Other Identifying Numbers:
Other: ON: DE95613629; TRN: XJ9406532012646
Availability:
OSTI; NTIS (US Sales Only); INIS
Submitting Site:
INIS
Size:
20 p.
Announcement Date:
Jun 30, 2005

Technical Report:

Citation Formats

Radyushkin, A V, and Ruskov, R. Form Factor of the Process {gamma}{sup *}{gamma}{sup *} -> {pi} {sup 0} for Small Virtuality of One of the Photons and QCD Sum Rules (2): Sum Rule. JINR: N. p., 1994. Web.
Radyushkin, A V, & Ruskov, R. Form Factor of the Process {gamma}{sup *}{gamma}{sup *} -> {pi} {sup 0} for Small Virtuality of One of the Photons and QCD Sum Rules (2): Sum Rule. JINR.
Radyushkin, A V, and Ruskov, R. 1994. "Form Factor of the Process {gamma}{sup *}{gamma}{sup *} -> {pi} {sup 0} for Small Virtuality of One of the Photons and QCD Sum Rules (2): Sum Rule." JINR.
@misc{etde_10112560,
title = {Form Factor of the Process {gamma}{sup *}{gamma}{sup *} -> {pi} {sup 0} for Small Virtuality of One of the Photons and QCD Sum Rules (2): Sum Rule}
author = {Radyushkin, A V, and Ruskov, R}
abstractNote = {We extend the QCD sum rule analysis of the F{sub {gamma}}{sup *}{sub {gamma}}{sup *} -> {pi}{sup 0} (q{sup 2}{sub 1}, q{sup 2}{sub 2}) form factor into the region where one of the photons has small virtuality: |q{sup 2}{sub 1}| << |q{sup 2}{sub 2}| {>=} 1 GeV{sup 2}. In this kinematics one should perform an additional factorization of short- and long-distance contributions. The extra long distance sensitivity of the three-point amplitude is described by two-point correlators (bi locals), and the low-momentum dependence of the correlators involving composite operators of two lowest twists is extracted from auxiliary QCD sum rules. The sum rule obtained is regular in the limit q{sup 2}{sub 1} -> 0. Our estimates for F{sub {gamma}}{sup *}{sub {gamma}}{sup *} -> {pi}{sup 0} (q{sup 2}{sub 1} = 0, Q{sup 2}{sub 2}) are in good agreement with existing experimental data. (author). 22 refs.; 3 figs.}
place = {JINR}
year = {1994}
month = {Dec}
}