Charm production in deep inelastic scattering : Mellin moments of heavy flavor contributions to F2(x,Q^2) at NNLO / Sebastian Klein.

Format:

Book

Author/Creator:

Klein, Sebastian.

Series:

Springer theses.

Springer theses, 2190-5053

Language:

English

Subjects (All):

Deep inelastic collisions.

Particles (Nuclear physics)--Charm.

Particles (Nuclear physics).

Physical Description:

1 online resource (245 p.)

Edition:

1st ed. 2012.

Place of Publication:

Berlin ; New York : Springer, c2012.

Language Note:

English

Summary:

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.

Contents:

Deeply Inelastic Scattering

Heavy Quark Production in DIS

Renormalization of Composite Operator Matrix Elements

Representation in Different Renormalization Schemes

Calculation of the Massive Operator Matrix Elements up to O(as2 ε)

Calculation of Moments at O(a33)

Heavy Flavor Corrections to Polarized Deep-Inelastic Scattering

Heavy Flavor Contributions to Transversity

First Steps Towards a Calculation of Aij(3) for all Moments

Conclusions

Conventions

Feynman Rules

Special Functions

Finite and Infinite Sums

Moments of the Fermionic Contributions to the 3-Loop Anomalous Dimensions

The O(ε 0) Contributions to Ẩij(3)

3-Loop Moments for Transversity.

Notes:

Doctoral thesis accepted by Technical University, Dortmund, Germany.

ISBN:

9786613451781

9781283451789

1283451786

9783642232862

3642232868

OCLC:

757941796