Testing the dynamics of B ->pi pi and constraints onalpha

Journal Article · Thu Jul 07 04:00:00 EDT 2005 · Physical Review D

DOI:https://doi.org/10.1103/PhysRevD.72.094033· OSTI ID:862320

Grossman, Yuval; Hocker, Andreas; Ligeti, Zoltan; Pirjol, Dan

In charmless nonleptonic B decays to {pi}{pi} or {rho}{rho}, the ''color allowed'' and ''color suppressed'' tree amplitudes can be studied in a systematic expansion in {alpha}{sub s}(m{sub b}) and {Lambda}{sub QCD}/m{sub b}. At leading order in this expansion their relative strong phase vanishes. The implications of this prediction are obscured by penguin contributions. They propose to use this prediction to test the relative importance of the various penguin amplitudes using experimental data. The present B {yields} {pi}{pi} data suggest that there are large corrections to the heavy quark limit, which can be due to power corrections to the tree amplitudes, large up-penguin amplitude, or enhanced weak annihilation. Because the penguin contributions are smaller, the heavy quark limit is more consistent with the B {yields} {rho}{rho} data, and its implications may become important for the extraction of {alpha} from this mode in the future.

• Research Organization: Ernest Orlando Lawrence Berkeley NationalLaboratory, Berkeley, CA (US)
• Sponsoring Organization: USDOE Director. Office of Science. Office of High EnergyPhysics, DOE Outstanding Junior Investigator Award, USDOE Department ofEnergy Cooperative Research Agreement DOE-FC02-94ER40818
• DOE Contract Number: AC02-05CH11231
• OSTI ID: 862320
• Report Number(s): LBNL--57484; BnR: KA1401020
• Journal Information: Physical Review D, Journal Name: Physical Review D Journal Issue: 9 Vol. 72
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
AMPLITUDES
ANNIHILATION
COLOR
FORECASTING
QUARKS
TESTING
TREES