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.

[img] PDF
0306163v2.pdf - Unspecified

Download (209kB)
[img] Postscript (Requires a viewer, such as GSview)
0306163v2.ps.ps - Unspecified

Download (305kB)

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: 14 Oct 2023 15:33
DOI: 10.1016/S0550-3213(03)00543-1
Related URLs:
URI: https://livrepository.liverpool.ac.uk/id/eprint/516