Charm Production in Deep Inelastic Scattering: Mellin Moments of Heavy Flavor Contributions to F2(x,Q^2) at NNLO

Front Cover
Springer Science & Business Media, Oct 9, 2011 - Science - 242 pages

The production of heavy quarks in high-energy experiments offers a rich field to study, both experimentally and theoretically. Due to the additional quark mass, the description of these processes in the framework of perturbative QCD is much more demanding than it is for those involving only massless partons. In the last two decades, a large amount of precision data has been collected by the deep inelastic HERA experiment. In order to make full use of these data, a more precise theoretical description of charm quark production in deep inelastic scattering is needed. This work deals with the first calculation of fixed moments of the NNLO heavy flavor corrections to the proton structure function F2 in the limit of a small charm-quark mass. The correct treatment of these terms will allow not only a more precise analysis of the HERA data, but starting from there also a more precise determination of the parton distribution functions and the strong coupling constant, which is an essential input for LHC physics.
The complexity of this calculation requires the application and development of technical and mathematical methods, which are also explained here in detail.

 

What people are saying - Write a review

We haven't found any reviews in the usual places.

Contents

1 Introduction
1
2 Deeply Inelastic Scattering
17
3 Heavy Quark Production in DIS
47
4 Renormalization of Composite Operator Matrix Elements
63
5 Representation in Different Renormalization Schemes
97
6 Calculation of the Massive Operator Matrix Elements up to Oas2ε
104
7 Calculation of Moments at Oas3
133
8 Heavy Flavor Corrections to Polarized DeepInelastic Scattering
147
11 Conclusions
182
Appendix A
187
Appendix B
191
Appendix C
195
Appendix D
202
Appendix E
207
Appendix F
214
Appendix G
233

9 Heavy Flavor Contributions to Transversity
163
10 First Steps Towards a Calculation of Aij3 for all Moments
171

Other editions - View all

Common terms and phrases

Bibliographic information