A sum rule from the shape function

2000/10/22 by U. Aglietti, Aglietti, U. · 1 citation
Computer Science · Mathematics · Physics and Astronomy · #Computational Geometry and Mesh Generation #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #Mathematical Approximation and Integration #Mathematics and Applications #hep-ph

paper · pdf · doi:10.48550/arxiv.hep-ph/0010251

LaTeX file, 7 pages, no figures; minor changes, details on the derivation of the one-loop coefficient function added

openalex publication_date 2000/10/22 · arxiv created 2001/03/08 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present a sum rule relating the electron energy spectrum and the hadron mass distribution in semileptonic b -> u decays close to threshold. The relation found is free from non-perturbative effects and the theoretical error is expected to be O(5%). An experimental confirmation of this prediction can provide a check of the basic assumptions at the root of the theory of the shape function.

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• A new model-independent way of extracting |Vub/Vcb|

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