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

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.

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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.

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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.

Content:
Front Matter....Pages i-xiii
Introduction....Pages 1-16
Deeply Inelastic Scattering....Pages 17-46
Heavy Quark Production in DIS....Pages 47-61
Renormalization of Composite Operator Matrix Elements....Pages 63-96
Representation in Different Renormalization Schemes....Pages 97-103
Calculation of the Massive Operator Matrix Elements up to $O(a_s^2varepsilon)$ ....Pages 105-132
Calculation of Moments at $O(a_s^3)$ ....Pages 133-145
Heavy Flavor Corrections to Polarized Deep-Inelastic Scattering....Pages 147-162
Heavy Flavor Contributions to Transversity....Pages 163-170
First Steps Towards a Calculation of $A_{ij}^{(3)}$ for all Moments....Pages 171-181
Conclusions....Pages 183-186
Back Matter....Pages 187-241

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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.

Content:
Front Matter....Pages i-xiii
Introduction....Pages 1-16
Deeply Inelastic Scattering....Pages 17-46
Heavy Quark Production in DIS....Pages 47-61
Renormalization of Composite Operator Matrix Elements....Pages 63-96
Representation in Different Renormalization Schemes....Pages 97-103
Calculation of the Massive Operator Matrix Elements up to $O(a_s^2varepsilon)$ ....Pages 105-132
Calculation of Moments at $O(a_s^3)$ ....Pages 133-145
Heavy Flavor Corrections to Polarized Deep-Inelastic Scattering....Pages 147-162
Heavy Flavor Contributions to Transversity....Pages 163-170
First Steps Towards a Calculation of $A_{ij}^{(3)}$ for all Moments....Pages 171-181
Conclusions....Pages 183-186
Back Matter....Pages 187-241
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