Precision Studies of Duality in the 't Hooft Model

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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 ... continued below

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403 KILOBYTES pages

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Lebed, R.F. & Uraltsev, N.G. June 1, 2000.

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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 first excited 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.

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403 KILOBYTES pages

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  • Journal Name: Phys.Rev.D62:094011,2000; Journal Volume: D; Journal Issue: 62; Other Information: Submitted to Phys.Rev.D62:094011,2000

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  • Report No.: JLAB-THY-00-21
  • Report No.: DOE/ER/40150-1738
  • Report No.: hep-ph/0006346
  • Grant Number: AC05-84ER40150
  • Office of Scientific & Technical Information Report Number: 760435
  • Archival Resource Key: ark:/67531/metadc719501

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  • June 1, 2000

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  • Sept. 29, 2015, 5:31 a.m.

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  • Feb. 5, 2016, 8:26 p.m.

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Lebed, R.F. & Uraltsev, N.G. Precision Studies of Duality in the 't Hooft Model, article, June 1, 2000; Newport News, Virginia. (digital.library.unt.edu/ark:/67531/metadc719501/: accessed November 19, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.