Factorization and Effective Theories

Abstract

We prove factorization in the decay of a B meson into a D* + jet using the Large Energy Effective Theory. The proof is non perturbative, does not require any gauge fixing and is exact in the limit of a very narrow jet. On the other hand, it is shown that this theory is unable to consistently describe completely exclusive processes such as for example a B which decays into a D* + pion, due to an oversimplification of transverse momentum dynamics. Therefore we present a variant of the Large Energy Effective Theory, i.e. a new effective theory for massless particles which properly takes into account transverse degrees of freedom and is the natural framework to study exclusive non-leptonic decays.

12 pages, no figures, LaTex corrections

Cited by in corpus (12)

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• Heavy-to-Light Form Factors in the Final Hadron Large Energy Limit of QCD
• Evolution of the Light Cone Distribution Function for a Heavy Quark
• Heavy to Light Meson Exclusive Semileptonic Decays in Effective Field Theory of Heavy Quark
• Form factors of heavy-to-light B decays at large recoil
• Comment on studying the corrections to factorization in B -> D(*) X
• The structure function of semi-inclusive heavy flavour decays in field theory
• Matching of the Shape Function
• A gluonic mechanism for B --> D eta'
• Transverse Momentum Distributions in B-Decays
• Effective Theories for Exclusive and Seminclusive Processes and Factorization