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D– oscillations as a probe of quark–hadron duality

2000/05/31 by I. I. Bigi, Ikaros Bigi, Nikolai Uraltsev · 4 citations
Mathematics · Physics and Astronomy · #Combinatorics #Duality (order theory) #Geometry #Hadron #High-Energy Particle Collisions Research #Mathematics #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quark #Scaling #Sensitivity (control systems) #Thermodynamics #Top quark #Yield (engineering) #hep-ph

paper · pdf · doi:10.1016/s0550-3213(00)00604-0

published as Nucl.Phys. B592 (2001) 92-106 · 15 pages, LaTeX. Revised: A reference and a few clarifications in the text are added. A few inconsistencies in equations are eliminated. We found the standard contribution to Delta M_D to differ from the expression usually quoted in the literature

arxiv created 2000/06/12 · openalex publication_date 2001/01/01 · arxiv updated 2015/06/25 · openalex created_date 2017/05/26 · openalex updated_date 2026/08/05

Abstract

It is usually argued that the Standard Model predicts slow D0- D0 oscillations with ΔMD, ΔΓD < 10-3D and that New Physics can reveal itself through ΔMD exceeding 10-3D. It is believed that the bulk of the effect is due to long distance dynamics that cannot be described at the quark level. We point out that in general the OPE yields soft GIM suppression scaling only like (mshadr)2 and even like mshadr rather than ms4/mc4 of the simple quark box diagram. Such contributions can actually yield ΔMD, ΔΓD ∼ O(10-3)*ΓD without invoking additional long distance effects. They are reasonably suppressed as long as the OPE and local duality are qualitatively applicable in the 1/mc expansion. We stress the importance of improving the sensitivity on ΔΓD as well as ΔMD in a dedicated fashion as a laboratory for analyzing the onset of quark-hadron duality and comment on the recent preliminary study on ΔΓD by the FOCUS group.

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