Model-independent properties of the B-meson distribution amplitude

Journal Article · Tue Nov 01 04:00:00 EST 2005 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PhysRevD.72.094028· OSTI ID:20713842

Lee, Seung J ^[1]; Neubert, Matthias ^[1]

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1. Institute for High-Energy Phenomenology, Cornell University, Ithaca, New York 14853 (United States)

The operator product expansion is used to obtain model-independent predictions for the first two moments of the renormalized B-meson light-cone distribution amplitude {phi}{sub +}{sup B}({omega},{mu}), defined with a cutoff {omega}{<=}{lambda}{sub UV}. The leading hadronic power corrections are given in terms of the parameter {lambda}=m{sub B}-m{sub b}. From the cutoff dependence of the zeroth moment an analytical expression for the asymptotic behavior of the distribution amplitude is derived, which exhibits a negative radiation tail for {omega}>>{mu}. By solving the evolution equation for the distribution amplitude, an integral representation for {phi}{sub +}{sup B}({omega},{mu}) is obtained in terms an initial function {phi}{sub +}{sup B}({omega},{mu}{sub 0}) defined at a lower renormalization scale. A realistic model of the B-meson light-cone distribution amplitude is proposed, which satisfies the moment relations and has the correct asymptotic behavior. This model provides an estimate for the first inverse moment and the associated parameter {lambda}{sub B}.

• OSTI ID: 20713842
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 9 Vol. 72; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
AMPLITUDES
B MESONS
B QUARKS
CORRECTIONS
DISTRIBUTION
LIGHT CONE
MUONS
OMEGA-782 MESONS
OPERATOR PRODUCT EXPANSION
PARTICLE DECAY
PHI-1020 MESONS
RENORMALIZATION