Quark mass effects in the soft-collinear effective theory and B{yields}X{sub s}{gamma} in the end point region

Journal Article · Fri Jul 01 04:00:00 EDT 2005 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PhysRevD.72.014010· OSTI ID:20711052

Chay, Junegone; Kim, Chul; Leibovich, Adam K ^[1]

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1. Department of Physics, Korea University, Seoul 136-701 (Korea, Republic of)

We consider the effects of a light quark mass in the soft-collinear effective theory (SCET) and we apply them to B{yields}X{sub s}{gamma} in the end point region. We find that the reparameterization invariance can be extended by including the collinear quark mass in the SCET Lagrangian. This symmetry constrains the theory with the quark mass terms, and we present explicit results at one loop. It also relates the Wilson coefficients of some mass operators to those of the leading operators, which are useful in organizing the subleading effects due to the quark mass in B{yields}X{sub s}{gamma}. We present strange quark mass corrections to B{yields}X{sub s}{gamma} in the end point region as an application. The forward scattering amplitude from the mass corrections is factorized, and it can be expressed as a convolution of the m{sub s}{sup 2}/p{sub X}{sup 2}-suppressed jet function and the leading-order shape function of the B meson. This contribution should be added to the existing subleading contributions from the B meson shape functions to obtain complete subleading corrections.

• OSTI ID: 20711052
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 1 Vol. 72; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
B MESONS
CORRECTIONS
D QUARKS
HADRONIC PARTICLE DECAY
JET MODEL
LAGRANGIAN FIELD THEORY
LAGRANGIAN FUNCTION
PHOTONS
REST MASS
S QUARKS
SCATTERING AMPLITUDES
SYMMETRY
U QUARKS