Static hybrid potential in D dimensions at short distances

Autor(en)
Antonio Pineda, Maximilian Stahlhofen
Abstrakt

We compute the energy of a static hybrid, i.e., of a hybrid quarkonium with static quark and antiquark, at short distances in D = 4,3, dimensions. The soft contribution to this energy is the static potential of a color-octet quark-antiquark pair at short distances, which is known at two loops for arbitrary D. We have checked this expression employing thermal field theory methods. Using the effective field theory potential nonrelativistic QCD we calculate the ultrasoft contributions to the hybrid (and singlet) static energy at the two-loop level. We then present new results for the static hybrid energy/potential and the hybrid decay width in three and four dimensions. Finally we comment on the meaning of the perturbative results in two space-time dimensions, where the hybrid does not exist.

Organisation(en)
Teilchenphysik
Externe Organisation(en)
Universitat Autònoma de Barcelona
Journal
Physical Review D
Band
84
Anzahl der Seiten
15
ISSN
1550-7998
DOI
https://doi.org/10.1103/PhysRevD.84.034016
Publikationsdatum
2011
Peer-reviewed
Ja
ÖFOS 2012
103034 Teilchenphysik
Link zum Portal
https://ucris.univie.ac.at/portal/de/publications/static-hybrid-potential-in-d-dimensions-at-short-distances(6d1597fe-ae95-4de7-8f00-ca5ba8cb204a).html