Journal article 971 views
Pseudoscalar meson decay constants and couplings, the Witten-Veneziano formula beyond large N(c), and the topological susceptibility,
Graham Shore
Nucl. Phys. B, Volume: 744, Pages: 34 - 58
Swansea University Author: Graham Shore
Full text not available from this repository: check for access using links below.
DOI (Published version): 10.1016/j.nuclphysb.2006.03.011
Abstract
The QCD formulae for the radiative decays η, η′ → γγ, and the corresponding Dashen–Gell-Mann–Oakes–Renner relations, differ from conventional PCAC results due to the gluonic U(1)A axial anomaly. This introduces a critical dependence on the gluon topological susceptibility. In this paper, we revisit...
| Published in: | Nucl. Phys. B |
|---|---|
| Published: |
2006
|
| Online Access: |
http://arxiv.org/abs/hep-ph/0601051 |
| URI: | https://cronfa.swan.ac.uk/Record/cronfa17503 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| first_indexed |
2014-03-21T02:30:08Z |
|---|---|
| last_indexed |
2018-02-09T04:51:10Z |
| id |
cronfa17503 |
| recordtype |
SURis |
| fullrecord |
<?xml version="1.0"?><rfc1807><datestamp>2014-03-20T23:50:39.0801472</datestamp><bib-version>v2</bib-version><id>17503</id><entry>2014-03-20</entry><title>Pseudoscalar meson decay constants and couplings, the Witten-Veneziano formula beyond large N(c), and the topological susceptibility,</title><swanseaauthors><author><sid>28a24f55687c82d6f3ee378ead3cf234</sid><firstname>Graham</firstname><surname>Shore</surname><name>Graham Shore</name><active>true</active><ethesisStudent>false</ethesisStudent></author></swanseaauthors><date>2014-03-20</date><deptcode>FGSEN</deptcode><abstract>The QCD formulae for the radiative decays η, η′ → γγ, and the corresponding Dashen–Gell-Mann–Oakes–Renner relations, differ from conventional PCAC results due to the gluonic U(1)A axial anomaly. This introduces a critical dependence on the gluon topological susceptibility. In this paper, we revisit our earlier theoretical analysis of radiative pseudoscalar decays and the DGMOR relations and extract explicit experimental values for the decay constants. This is our main result. The flavour singlet DGMOR relation is the generalisation of the Witten-Veneziano formula beyond large Nc, so we are able to give a quantitative assessment of the realisation of the 1/Nc expansion in the U(1)A sector of QCD. Applications to other aspects of η′ physics, including the relation with the first moment sum rule for the polarised photon structure function g1γ, are highlighted. The U(1)A Goldberger-Treiman relation is extended to accommodate SU(3) flavour breaking and the implications of a more precise measurement of the η and η′-nucleon couplings are discussed. A comparison with the existing literature on pseudoscalar meson decay constants using large-Nc chiral Lagrangians is also made.</abstract><type>Journal Article</type><journal>Nucl. Phys. B</journal><volume>744</volume><paginationStart>34</paginationStart><paginationEnd>58</paginationEnd><publisher/><keywords/><publishedDay>5</publishedDay><publishedMonth>6</publishedMonth><publishedYear>2006</publishedYear><publishedDate>2006-06-05</publishedDate><doi>10.1016/j.nuclphysb.2006.03.011</doi><url>http://arxiv.org/abs/hep-ph/0601051</url><notes/><college>COLLEGE NANME</college><department>Science and Engineering - Faculty</department><CollegeCode>COLLEGE CODE</CollegeCode><DepartmentCode>FGSEN</DepartmentCode><institution>Swansea University</institution><apcterm/><lastEdited>2014-03-20T23:50:39.0801472</lastEdited><Created>2014-03-20T21:52:39.6911216</Created><path><level id="1">Faculty of Science and Engineering</level><level id="2">School of Biosciences, Geography and Physics - Physics</level></path><authors><author><firstname>Graham</firstname><surname>Shore</surname><order>1</order></author></authors><documents/><OutputDurs/></rfc1807> |
| spelling |
2014-03-20T23:50:39.0801472 v2 17503 2014-03-20 Pseudoscalar meson decay constants and couplings, the Witten-Veneziano formula beyond large N(c), and the topological susceptibility, 28a24f55687c82d6f3ee378ead3cf234 Graham Shore Graham Shore true false 2014-03-20 FGSEN The QCD formulae for the radiative decays η, η′ → γγ, and the corresponding Dashen–Gell-Mann–Oakes–Renner relations, differ from conventional PCAC results due to the gluonic U(1)A axial anomaly. This introduces a critical dependence on the gluon topological susceptibility. In this paper, we revisit our earlier theoretical analysis of radiative pseudoscalar decays and the DGMOR relations and extract explicit experimental values for the decay constants. This is our main result. The flavour singlet DGMOR relation is the generalisation of the Witten-Veneziano formula beyond large Nc, so we are able to give a quantitative assessment of the realisation of the 1/Nc expansion in the U(1)A sector of QCD. Applications to other aspects of η′ physics, including the relation with the first moment sum rule for the polarised photon structure function g1γ, are highlighted. The U(1)A Goldberger-Treiman relation is extended to accommodate SU(3) flavour breaking and the implications of a more precise measurement of the η and η′-nucleon couplings are discussed. A comparison with the existing literature on pseudoscalar meson decay constants using large-Nc chiral Lagrangians is also made. Journal Article Nucl. Phys. B 744 34 58 5 6 2006 2006-06-05 10.1016/j.nuclphysb.2006.03.011 http://arxiv.org/abs/hep-ph/0601051 COLLEGE NANME Science and Engineering - Faculty COLLEGE CODE FGSEN Swansea University 2014-03-20T23:50:39.0801472 2014-03-20T21:52:39.6911216 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics Graham Shore 1 |
| title |
Pseudoscalar meson decay constants and couplings, the Witten-Veneziano formula beyond large N(c), and the topological susceptibility, |
| spellingShingle |
Pseudoscalar meson decay constants and couplings, the Witten-Veneziano formula beyond large N(c), and the topological susceptibility, Graham Shore |
| title_short |
Pseudoscalar meson decay constants and couplings, the Witten-Veneziano formula beyond large N(c), and the topological susceptibility, |
| title_full |
Pseudoscalar meson decay constants and couplings, the Witten-Veneziano formula beyond large N(c), and the topological susceptibility, |
| title_fullStr |
Pseudoscalar meson decay constants and couplings, the Witten-Veneziano formula beyond large N(c), and the topological susceptibility, |
| title_full_unstemmed |
Pseudoscalar meson decay constants and couplings, the Witten-Veneziano formula beyond large N(c), and the topological susceptibility, |
| title_sort |
Pseudoscalar meson decay constants and couplings, the Witten-Veneziano formula beyond large N(c), and the topological susceptibility, |
| 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 |
744 |
| container_start_page |
34 |
| publishDate |
2006 |
| institution |
Swansea University |
| doi_str_mv |
10.1016/j.nuclphysb.2006.03.011 |
| 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/0601051 |
| document_store_str |
0 |
| active_str |
0 |
| description |
The QCD formulae for the radiative decays η, η′ → γγ, and the corresponding Dashen–Gell-Mann–Oakes–Renner relations, differ from conventional PCAC results due to the gluonic U(1)A axial anomaly. This introduces a critical dependence on the gluon topological susceptibility. In this paper, we revisit our earlier theoretical analysis of radiative pseudoscalar decays and the DGMOR relations and extract explicit experimental values for the decay constants. This is our main result. The flavour singlet DGMOR relation is the generalisation of the Witten-Veneziano formula beyond large Nc, so we are able to give a quantitative assessment of the realisation of the 1/Nc expansion in the U(1)A sector of QCD. Applications to other aspects of η′ physics, including the relation with the first moment sum rule for the polarised photon structure function g1γ, are highlighted. The U(1)A Goldberger-Treiman relation is extended to accommodate SU(3) flavour breaking and the implications of a more precise measurement of the η and η′-nucleon couplings are discussed. A comparison with the existing literature on pseudoscalar meson decay constants using large-Nc chiral Lagrangians is also made. |
| published_date |
2006-06-05T03:20:13Z |
| _version_ |
1763750563725443072 |
| score |
11.012678 |