The Calculation of the Two-Loop Spin Splitting Functions $P_{ij}^{(1)}(x)$

Details The Calculation of the Two-Loop Spin Splitting Functions $P_{ij}^{(1)}(x)$ The Calculation of the Two-Loop Spin Splitting Functions $P_{ij}^{(1)}(x)$

1995-06-29

arxiv.org/abs/hep-ph/9506451v1

Z.Phys. C70 (1996) 637-654

Physics

High Energy Physics

High Energy Physics - Phenomenology

LaTeX, 34 pages, 6 figures (in Postscript file)

Scientific paper

We present the calculation of the two-loop spin splitting functions $P_{ij}^{(1)}(x)\; (i,j = q,g)$ contributing to the next-to-leading order corrected spin structure function $g_1(x,Q^2)$. These splitting functions, which are presented in the \MSbs, are derived from the order $\alpha_s^2$ contribution to the anomalous dimensions $\gamma_{ij}^{m} \; (i,j = q,g)$. The latter correspond to the local operators which appear in the operator product expansion of two electromagnetic currents. Some of the properties of the anomalous dimensions will be discussed. In particular we find that in order $\alpha_s^2$ the supersymmetric relation $\gamma_{qq}^{m}+\gamma_{gq}^{m}-\gamma_{qg}^{m}-\gamma_{gg}^{m}=0$ is violated.

Affiliated with

Also associated with

No associations

Rating

The Calculation of the Two-Loop Spin Splitting Functions $P_{ij}^{(1)}(x)$ does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The Calculation of the Two-Loop Spin Splitting Functions $P_{ij}^{(1)}(x)$, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Calculation of the Two-Loop Spin Splitting Functions $P_{ij}^{(1)}(x)$ will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-105822