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Three loop anomalous dimension of the second moment of the transversity operator in the MSbar and RI' schemes

Gracey, J.A. (2003) Three loop anomalous dimension of the second moment of the transversity operator in the MSbar and RI' schemes. Nuclear Physics B, 667 (1-2). pp. 242-260. ISSN 0550-3213

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Official URL: http://www.elsevier.com/wps/find/journaldescriptio...

Abstract

We compute the anomalous dimension of the second moment of the transversity operator, \bar{\psi} \sigma^{\mu\nu} D^\rho \psi, at three loops in both the MSbar and RI' schemes. As a check on the result we also determine the O(1/N_f) critical exponent of the n-th moment of the transversity operator in d-dimensions in the large N_f expansion and determine leading order information on the n dependence of the anomalous dimension at three and four loops in MSbar. In addition the RI' anomalous dimension of the non-singlet twist-2 operator, \bar{\psi} \gamma^\mu D^\nu \psi, is also determined.

Item Type:Article
Additional Information:LTH 580. arXiv Number: arXiv:hep-ph/0306163v2. Available online 8 July 2003. Issue: 8 September 2003.
Uncontrolled Keywords:INELASTIC STRUCTURE FUNCTIONS; ODD PARTON DISTRIBUTIONS; SINGLET WILSON OPERATORS; FREE GAUGE-THEORIES; LEADING ORDER; NONPERTURBATIVE RENORMALIZATION; 2ND-ORDER CONTRIBUTIONS; BETA-FUNCTION; QUARK MASS; QCD
Subjects:Q Science > QC Physics
Departments, Research Centres and Related Units:Academic Faculties, Institutes and Research Centres > Faculty of Science > Department of Mathematical Sciences
DOI:10.1016/S0550-3213(03)00543-1
Related URLs:
Refereed:Yes
Status:Published
ID Code:516
Deposited On:19 Aug 2008 11:54
Last Modified:20 May 2011 12:53

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