Three loop anomalous dimension of the second moment of the transversity operator in the (MS)over-bar 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)over-bar and RI ' schemes. NUCLEAR PHYSICS B, 667 (1-2). pp. 242-260.

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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:	18 latex pages; additional reference included
Uncontrolled Keywords:	hep-ph, hep-ph, hep-lat
Subjects:	?? QC ??
Divisions:	Faculty of Science and Engineering > School of Physical Sciences > Mathematical Sciences
Depositing User:	Symplectic Admin
Date Deposited:	19 Aug 2008 10:54
Last Modified:	16 Dec 2022 09:50
DOI:	10.1016/S0550-3213(03)00543-1
Related URLs:	Author Publisher
URI:	https://livrepository.liverpool.ac.uk/id/eprint/516