Factorization and Sudakov resummation in leptonic radiative B decay

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 67, Issue 9, 2003, Pages

  Bosch, S W ^a   Hill, R J ^b   Lange, B O ^a   Neubert, M ^a  

^a Newman Laboratory for Elementary Particle Physics   (United States)

^b SLAC NATIONAL ACCELERATOR LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; CALCULATION; ELEMENTARY PARTICLE; ENERGY; LEPTON; LIGHT SCATTERING; MASS; MATHEMATICAL ANALYSIS; PHOTON; QUANTUM MECHANICS; RADIATION SCATTERING;

EID: 0038236438     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.67.094014     Document Type: Article

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30. The reason is that the integration variable u scales like (Formula presented) and that the basis vectors n and (Formula presented) always come in pairs since they are introduced through the light-cone decomposition of 4-vectors. The only alternative to having a factor of n in the numerator would be to add a factor of (Formula presented) or (Formula presented) both of which scale like (Formula presented) and thus would lead to power suppression.
31. For simplicity of notation, we omit the arguments (Formula presented) and (Formula presented) for the remainder of this section. Also, unless otherwise indicated, (Formula presented)