Three loop anomalous dimension of the second moment of the transversity operator in the ̄MS and RI′ schemes

Gracey, JA ORCID: 0000-0002-9101-2853 (2003) Three loop anomalous dimension of the second moment of the transversity operator in the ̄MS and RI′ schemes Nuclear Physics B, 667 (1-2). pp. 242-260. ISSN 0550-3213

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Abstract

We compute the anomalous dimension of the second moment of the transversity operator, ψ̄σ^μνD ^ρψ, at three loops in both the MS and RI′ schemes. As a check on the result we also determine the O(1/N<inf>f</inf>) critical exponent of the nth moment of the transversity operator in d dimensions in the large N<inf>f</inf> expansion and determine leading order information on the n dependence of the anomalous dimension at three and four loops in MS. In addition the RI′ anomalous dimension of the non-singlet twist-2 operator, ψ̄γ ^μD^νψ, is also determined. © 2003 Elsevier B.V. All rights reserved.

Item Type:	Article
Additional Information:	18 latex pages; additional reference included
Uncontrolled Keywords:	hep-ph, hep-ph, hep-lat
Subjects:	?? QC ??
Divisions:	Faculty of Science & Engineering > School of Physical Sciences > Mathematical Sciences
Depositing User:	Symplectic Admin
Date Deposited:	19 Aug 2008 10:54
Last Modified:	24 Jan 2026 00:13
DOI:	10.1016/S0550-3213(03)00543-1
Related Websites:	Author Publisher
URI:	https://livrepository.liverpool.ac.uk/id/eprint/516
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