Three loop anomalous dimension of the second moment of the transversity operator in the [formula omitted] and RI′ schemes

• Published in: Nuclear physics. B Vol. 667; no. 1; pp. 242 - 260
• Main Author: Gracey, J.A.
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 01.09.2003
• Subjects: 11.10.Gh; 11.15.Pg; 12.38.Bx
• ISSN: 0550-3213; 1873-1562
• DOI: 10.1016/S0550-3213(03)00543-1

We compute the anomalous dimension of the second moment of the transversity operator, ψ ̄ σ 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 f ) critical exponent of the nth 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 MS . In addition the RI′ anomalous dimension of the non-singlet twist-2 operator, ψ ̄ γ μD νψ , is also determined.