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

### What people are saying - Write a review

### Contents

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

Charm Production in Deep Inelastic Scattering: Mellin Moments of Heavy ... Sebastian Klein No preview available - 2011 |

Charm Production in Deep Inelastic Scattering: Mellin Moments of Heavy ... Sebastian Klein No preview available - 2013 |

Charm Production in Deep Inelastic Scattering: Mellin Moments of Heavy ... Sebastian Klein No preview available - 2011 |