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The Polarised photon g(1) gamma sum rule at the linear collider and high luminosity B factories

Graham Shore

Nucl. Phys. B, Volume: 712, Issue: 1-2, Pages: 411 - 429

Swansea University Author: Graham Shore

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DOI (Published version): 10.1016/j.nuclphysb.2005.01.026

Abstract

The sum rule for the first moment of the polarised (virtual) photon structure function g1γ(x,Q2;K2) is revisited in the light of proposals for future e+e− colliders. The sum rule exhibits an array of phenomena characteristic of QCD: for real photons (K2 = 0) electromagnetic gauge invariance constrai...

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Published in: Nucl. Phys. B
Published: 2005
Online Access: http://arxiv.org/abs/hep-ph/0412192
URI: https://cronfa.swan.ac.uk/Record/cronfa17505
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spelling 2014-03-20T23:48:39.9642452 v2 17505 2014-03-20 The Polarised photon g(1) gamma sum rule at the linear collider and high luminosity B factories 28a24f55687c82d6f3ee378ead3cf234 Graham Shore Graham Shore true false 2014-03-20 FGSEN The sum rule for the first moment of the polarised (virtual) photon structure function g1γ(x,Q2;K2) is revisited in the light of proposals for future e+e− colliders. The sum rule exhibits an array of phenomena characteristic of QCD: for real photons (K2 = 0) electromagnetic gauge invariance constrains the first moment to vanish; the limit for asymptotic photon virtuality (m2ρ ≪ K2 ≪ Q2) is governed by the electromagnetic UA(1) axial anomaly and the approach to asymptopia by the gluonic anomaly; for intermediate values of K2, it reflects the realisation of chiral symmetry and is determined by the off-shell radiative couplings of the pseudoscalar mesons; finally, like many polarisation phenomena in QCD, the first moment of g1γ involves the gluon topological susceptibility. In this paper, we review the original sum rule proposed by Narison, Shore and Veneziano and extend the relation with pseudoscalar mesons. The possibility of measuring the sum rule in future polarised e+e− colliders is then considered in detail, focusing on the International Linear Collider (ILC) and high luminosity B factories. We conclude that all the above features of the sum rule should be accessible at a polarised collider with the characteristics of SuperKEKB. Journal Article Nucl. Phys. B 712 1-2 411 429 18 4 2005 2005-04-18 10.1016/j.nuclphysb.2005.01.026 http://arxiv.org/abs/hep-ph/0412192 COLLEGE NANME Science and Engineering - Faculty COLLEGE CODE FGSEN Swansea University 2014-03-20T23:48:39.9642452 2014-03-20T22:13:51.7721942 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics Graham Shore 1
title The Polarised photon g(1) gamma sum rule at the linear collider and high luminosity B factories
spellingShingle The Polarised photon g(1) gamma sum rule at the linear collider and high luminosity B factories
Graham Shore
title_short The Polarised photon g(1) gamma sum rule at the linear collider and high luminosity B factories
title_full The Polarised photon g(1) gamma sum rule at the linear collider and high luminosity B factories
title_fullStr The Polarised photon g(1) gamma sum rule at the linear collider and high luminosity B factories
title_full_unstemmed The Polarised photon g(1) gamma sum rule at the linear collider and high luminosity B factories
title_sort The Polarised photon g(1) gamma sum rule at the linear collider and high luminosity B factories
author_id_str_mv 28a24f55687c82d6f3ee378ead3cf234
author_id_fullname_str_mv 28a24f55687c82d6f3ee378ead3cf234_***_Graham Shore
author Graham Shore
author2 Graham Shore
format Journal article
container_title Nucl. Phys. B
container_volume 712
container_issue 1-2
container_start_page 411
publishDate 2005
institution Swansea University
doi_str_mv 10.1016/j.nuclphysb.2005.01.026
college_str Faculty of Science and Engineering
hierarchytype
hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Biosciences, Geography and Physics - Physics{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Biosciences, Geography and Physics - Physics
url http://arxiv.org/abs/hep-ph/0412192
document_store_str 0
active_str 0
description The sum rule for the first moment of the polarised (virtual) photon structure function g1γ(x,Q2;K2) is revisited in the light of proposals for future e+e− colliders. The sum rule exhibits an array of phenomena characteristic of QCD: for real photons (K2 = 0) electromagnetic gauge invariance constrains the first moment to vanish; the limit for asymptotic photon virtuality (m2ρ ≪ K2 ≪ Q2) is governed by the electromagnetic UA(1) axial anomaly and the approach to asymptopia by the gluonic anomaly; for intermediate values of K2, it reflects the realisation of chiral symmetry and is determined by the off-shell radiative couplings of the pseudoscalar mesons; finally, like many polarisation phenomena in QCD, the first moment of g1γ involves the gluon topological susceptibility. In this paper, we review the original sum rule proposed by Narison, Shore and Veneziano and extend the relation with pseudoscalar mesons. The possibility of measuring the sum rule in future polarised e+e− colliders is then considered in detail, focusing on the International Linear Collider (ILC) and high luminosity B factories. We conclude that all the above features of the sum rule should be accessible at a polarised collider with the characteristics of SuperKEKB.
published_date 2005-04-18T03:20:13Z
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score 11.013148