Virtual {ital O}({alpha}{sub {ital s}}) corrections to the inclusive decay {ital b}{r_arrow}{ital s}{gamma}

Journal Article · Sun Sep 01 04:00:00 EDT 1996 · Physical Review, D

DOI:https://doi.org/10.1103/PhysRevD.54.3350· OSTI ID:383389

Greub, C ^[1]; Hurth, T; Wyler, D ^[2]

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1. Stanford Linear Accelerator Center, Stanford University, Stanford, California 94309 (United States)
2. Institute for Theoretical Physics, University of Zuerich, Winterthurerstr. 190, CH-8057 Zuerich (Switzerland)

We present in detail the calculation of the {ital O}({alpha}{sub {ital s}}) virtual corrections to the matrix element for {ital b}{r_arrow}{ital s}{gamma}. In addition to the one-loop virtual corrections of the electromagnetic and color dipole operators {ital O}{sub 7} and {ital O}{sub 8}, we include the important two-loop contribution of the four-Fermi operator {ital O}{sub 2}. By applying the Mellin-Barnes representation to certain internal propagators, the result of the two-loop diagrams is obtained analytically as an expansion in {ital m}{sub {ital c}}/{ital m}{sub {ital b}}. These results are then combined with existing {ital O}({alpha}{sub {ital s}}) bremsstrahlung corrections in order to obtain the inclusive rate for {ital B}{r_arrow}{ital X}{sub {ital s}}{gamma}. The new contributions drastically reduce the large renormalization scale dependence of the leading logarithmic result. Thus, a very precise standard model prediction for this inclusive process will become possible once the corrections to the Wilson coefficients are also available. {copyright} {ital 1996 The American Physical Society.}

• Research Organization: Stanford Linear Accelerator Center
• DOE Contract Number: AC03-76SF00515
• OSTI ID: 383389
• Journal Information: Physical Review, D, Journal Name: Physical Review, D Journal Issue: 5 Vol. 54; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
B MESONS
CORRECTIONS
DIPOLES
GAMMA DECAY
INCLUSIVE INTERACTIONS
MATRIX ELEMENTS
PROPAGATOR
RENORMALIZATION
STANDARD MODEL
STRANGE PARTICLES