TY - JOUR
T1 - Penguin topologies, rescattering effects and penguin hunting with Bu,d → KK̄ and B± → π±K
AU - Buras, Andrzej J.
AU - Fleischer, Robert
AU - Mannel, Thomas
PY - 1998/11/16
Y1 - 1998/11/16
N2 - In the recent literature, constraints on the CKM angle γ arising from the branching ratios for B± → π±K and Bd → π∓K± decays received a lot of attention. An important theoretical limitation of the accuracy of these bounds is due to rescattering effects, such as B+ → {π0K+} → π+K0. We point out that these processes are related to penguin topologies with internal up-quark exchanges and derive SU(2) isospin relations among the B+ → π+K0 and B0d → π-K+ decay amplitudes by defining "tree" and "penguin" amplitudes in a proper way, allowing the derivation of generalized bounds on the CKM angle γ. We propose strategies to obtain insights into the dynamics of penguin processes with the help of the decays Bu,d → KK̄ and B± → π±K, derive a relation among the direct CP-violating asymmetries arising in these modes, and emphasize that rescattering effects can be included in the generalized bounds on γ completely this way. Moreover, we have a brief look at the impact of new physics.
AB - In the recent literature, constraints on the CKM angle γ arising from the branching ratios for B± → π±K and Bd → π∓K± decays received a lot of attention. An important theoretical limitation of the accuracy of these bounds is due to rescattering effects, such as B+ → {π0K+} → π+K0. We point out that these processes are related to penguin topologies with internal up-quark exchanges and derive SU(2) isospin relations among the B+ → π+K0 and B0d → π-K+ decay amplitudes by defining "tree" and "penguin" amplitudes in a proper way, allowing the derivation of generalized bounds on the CKM angle γ. We propose strategies to obtain insights into the dynamics of penguin processes with the help of the decays Bu,d → KK̄ and B± → π±K, derive a relation among the direct CP-violating asymmetries arising in these modes, and emphasize that rescattering effects can be included in the generalized bounds on γ completely this way. Moreover, we have a brief look at the impact of new physics.
KW - Constraints on the CKM angle gamma
KW - Penguin topologies
KW - Rescattering processes
UR - http://www.scopus.com/inward/record.url?scp=0032538736&partnerID=8YFLogxK
U2 - 10.1016/S0550-3213(98)00506-9
DO - 10.1016/S0550-3213(98)00506-9
M3 - Article
AN - SCOPUS:0032538736
SN - 0550-3213
VL - 533
SP - 3
EP - 24
JO - Nuclear Physics, Section B
JF - Nuclear Physics, Section B
IS - 1-3
ER -