Consistency constraints on m{sub s} from QCD dispersion relations and chiral perturbation theory in K{sub l3} decays

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The authors use both old and new theoretical developments in QCD dispersion relation constraints on the scalar form factor in the decay K {r_arrow} {pi}l{nu}{sub l} to obtain constraints on the strange quark mass. The perturbative QCD side of the calculation incorporates up to four-loop corrections, while the hadronic side uses a recently developed parameterization constructed explicitly to satisfy the dispersive constraints. Using chiral perturbation theory ({chi}PT) as a model for soon-to-be measured data, they find a series of lower bounds on m{sub s} increasing with the accuracy to which one believes {chi}PT to represent the full QCD result.

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164 Kilobytes pages

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Lebed, Richard F. & Schilcher, Karl October 1, 1997.

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The authors use both old and new theoretical developments in QCD dispersion relation constraints on the scalar form factor in the decay K {r_arrow} {pi}l{nu}{sub l} to obtain constraints on the strange quark mass. The perturbative QCD side of the calculation incorporates up to four-loop corrections, while the hadronic side uses a recently developed parameterization constructed explicitly to satisfy the dispersive constraints. Using chiral perturbation theory ({chi}PT) as a model for soon-to-be measured data, they find a series of lower bounds on m{sub s} increasing with the accuracy to which one believes {chi}PT to represent the full QCD result.

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164 Kilobytes pages

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  • Journal Name: Phys.Lett. B430 (1998) 341-348; Other Information: Submitted to Phys.Lett. B430 (1998) 341-348

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  • Report No.: DOE/ER/40150-1579
  • Report No.: JLAB-THY-97-44
  • Report No.: UCSD/PTH-97-28
  • Report No.: hep-ph/9710489
  • Grant Number: AC05-84ER40150
  • Office of Scientific & Technical Information Report Number: 756486
  • Archival Resource Key: ark:/67531/metadc710074

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  • October 1, 1997

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  • Sept. 12, 2015, 6:31 a.m.

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  • Feb. 5, 2016, 8:43 p.m.

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Lebed, Richard F. & Schilcher, Karl. Consistency constraints on m{sub s} from QCD dispersion relations and chiral perturbation theory in K{sub l3} decays, article, October 1, 1997; Newport News, Virginia. (digital.library.unt.edu/ark:/67531/metadc710074/: accessed December 16, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.