Hy. Cheng et A. Soni, Phenomenological applications of QCD factorization to semi-inclusive B decays and direct CP violation - art. no. 114013, PHYS REV D, 6411(11), 2001, pp. 4013
We systematically investigate the semi-inclusive B decals B-->MX, which are
manifestations of the quark decay b-->Mq, within a framework inspired by Q
CD-improved factorization. These decays are theoretically clean and have di
stinctive experimental signatures. We focus on a class of these that do not
require any form factor information, and therefore may be especially suita
ble for extracting information on the angles alpha and gamma of the unitari
ty triangle. The nonfactorizable effects, such as vertex-type and penguin-t
ype corrections to the two-body b decay, b --> Mq, and hard spectator corre
ctions to the three-body decay B --> Mq(1)(q) over bar (2) are calculable i
n the heavy quark limit. QCD factorization is applicable when the emitted m
eson is a light meson or a charmonium. We discuss the issue of the CPT cons
traint on partial rate asymmetries. The strong phase coming from final-stat
e rescattering due to hard gluon exchange between the final states can indu
ce large rate asymmetries for tree-dominated color-suppressed modes (pi (o)
, rho (o), omega )X-s(-). The nonfactorizable hard spectator interactions i
n the three-body decay B-->Mq(1)(q) over bar (2), though phase-space suppre
ssed, are extremely important for the tree-dominated modes (pi (o), rho (o)
, omega )X-s(-), phiX, J/psiX(s), J/psiX and the penguin-dominated mode ome
gaX(ss)(-). In fact, they are dominated by the hard spectator corrections.
This is because the relevant hard spectator interaction is color allowed, w
hereas the two-body semi-inclusive decays for these modes are color suppres
sed. Our result for B(B-->J/psiX(s)) is in agreement with experiment. The s
emi-inclusive decay modes (B) over bar (o)(s)--> (pi (o),rho (o), omega )X-
s(-), rho X-o(ss)-, (B) over bar (o) -->(K-X, K*X-), and B- -->((KXs)-X-o,
(KXs)-X-*o) are the most promising ones in searching for direct CP violatio
n. In fact, they have branching ratios of order 10(-6) - 10(-4) and CP rate
asymmetries of order (10-40)%. The decays (B) over bar (o)(s)--> (pi (o),
rho (o), omega )X-ss(-) and B--->phiX are electroweak-penguin dominated. So
me of them have sizable branching ratios and observable CP asymmetries.