Precision Studies of Duality in the 't Hooft Model

Miscellaneous · Thu Jun 01 00:00:00 EDT 2000

OSTI ID:5159417

Lebed, Richard F; Uraltsev, Nikolai G

The authors address numerical aspects of local quark-hadron duality using the example of the exactly solvable 't Hooft model, two-dimensional QCD with Nc 8. The primary focus of these studies is total semileptonic decay widths relevant for extracting (Vcb) and (Vub). They compare the exact channel-by-channel sum of exclusive modes to the corresponding rates obtained in the standard 1/mQ expansion arising from the Operator Product Expansion. An impressive agreement sets in unexpectedly early, immediately after the threshold for the first hadronic excitation in the final state. Yet even at higher energy release it is possible to discern the seeds of duality-violating oscillations. They find the ''Small Velocity'' sum rules to be exceptionally well saturated already by the fi2048excited state. They also obtain a convincing degree of duality in the differential distributions and in an analogue of Re+e-(s). Finally, they discuss possible lessons for semileptonic decays of actual heavy quarks in QCD.

• Research Organization: Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
• Sponsoring Organization: USDOE Office of Energy Research (ER) (United States)
• DOE Contract Number: AC05-84ER40150
• OSTI ID: 5159417
• Report Number(s): JLAB-THY-00-21; DOE/ER/40150-1738; hep-ph/0006346
• Resource Relation: Other Information: No journal information given for this preprint
• Country of Publication: United States
• Language: English

Related Subjects

DUALITY
EXCITATION
EXCITED STATES
OPERATOR PRODUCT EXPANSION
OSCILLATIONS
QUANTUM CHROMODYNAMICS
QUARKS
SEMILEPTONIC DECAY
SUM RULES
HADRONS
ENERGY-LEVEL TRANSITIONS
ENERGY LEVELS
SERIES EXPANSION
QUANTUM FIELD THEORY
FERMIONS
WEAK PARTICLE DECAY
EQUATIONS
ELEMENTARY PARTICLES
FIELD THEORIES
PARTICLE DECAY