Four-loop anomalous dimension of flavor non-singlet quark operator of twist two and Lorentz spin N for general gauge group: Transcendental part
Abstract
Both for quark flavor asymmetry and valence, we consider the anomalous dimension of the non-singlet twist-two quark operator of arbitrary Lorentz spin N at four loops in SU(nc) color gauge theory and present its term proportional to zeta(3) in closed form. These results have been extracted from published Mellin moments, for N=1,...,16 and N=3,...,15, respectively, by analytic reconstruction using advanced methods of number theory. Via Mellin transformation, we obtain the exact functional forms in x of the respective pieces of Dokshitzer-Gribov-Lipatov-Altarelli-Parisi splitting functions. This allows us to reduce the theoretical uncertainties in the approximations of these splitting functions otherwise amenable from the first few low-N values.
Fields of Study & Subjects
Particle physics theoretical and experimental studies
Noncommutative and Quantum Gravity Theories
Algebraic and Geometric Analysis
Publication details
- Journal / source
- Nuclear Physics B
- Publisher
- Elsevier BV
- Volume
- 1028
- Pages
- 117492–117492
- Publication date
- 18 May 2026
- Language
- EN