Hyperfine Splitting in Heavy Quarkonium: Matching the Perturbative and Lattice Approach

• Author / Creator

  Baker, Marc E.

• We study the mass difference between the spin singlet and spin triplet states of heavy quarkonium. The quarkonium meson is a non-relativistic quark-antiquark bound-state of quantum chromodynamics (QCD). We set up a matching procedure between the perturbative analysis of the short-distance interactions, and the nonperturbative lattice analysis of the long-distance effects. To this end, we calculate the part of the corresponding Wilson coefficient in the continuum QCD region, to first order in the strong coupling constant. We then improve upon the first order result by all-order resummation of the large logarithms of the lattice spacing.

• Subjects / Keywords

  • Quarkonium
  • Hyperfine
  • Splitting

• Graduation date

  Fall 2013

• Type of Item

  Thesis

• Degree

  Master of Science

• DOI

  https://doi.org/10.7939/R3TD5B

• License

  This thesis is made available by the University of Alberta Libraries with permission of the copyright owner solely for non-commercial purposes. This thesis, or any portion thereof, may not otherwise be copied or reproduced without the written consent of the copyright owner, except to the extent permitted by Canadian copyright law.