TY - JOUR
T1 - Direct CP violation in KL → π0e+e- beyond leading logarithms
AU - Buras, Andrzej J.
AU - Lautenbacher, Markus E.
AU - Misiak, Mikołaj
AU - Münz, Manfred
N1 - Funding Information:
TM 732, the CEC Science project SC1-CT91-0729 and the Polish Committee for Scientific Research. * On leave of absence from the Institute of Theoretical Physics, Warsaw University, Warsaw, Poland.
Funding Information:
Supported by the German Bundesministerium für Forschung und Technologie under contract 06
PY - 1994/7/25
Y1 - 1994/7/25
N2 - We analyze the direct CP violation in the rare decay KL → π0e+e- with QCD effects taken into account consistently in the next-to-leading order. We calculate the two-loop mixing between the four-quark ΔS = 1 operators and the operator Q7V = (sd)V - A(ee)V in the NDR and HV renormalization schemes. Using the known two-loop anomalous dimension matrix of the four-quark operators, we find that the coefficient C7V(μ) depends only very weakly on μ, renormalization scheme and ΓMS. The next-to-leading QCD corrections enhance the direct CP violating contribution over its leading order estimate so that it remains dominant in spite of the recent decrease of |Vub/Vcb | and |Vcb|. We expect typically BR(KL → π0e+e-)dir ≈ 6 × 10-12, although values as high as 10-11 are not yet excluded.
AB - We analyze the direct CP violation in the rare decay KL → π0e+e- with QCD effects taken into account consistently in the next-to-leading order. We calculate the two-loop mixing between the four-quark ΔS = 1 operators and the operator Q7V = (sd)V - A(ee)V in the NDR and HV renormalization schemes. Using the known two-loop anomalous dimension matrix of the four-quark operators, we find that the coefficient C7V(μ) depends only very weakly on μ, renormalization scheme and ΓMS. The next-to-leading QCD corrections enhance the direct CP violating contribution over its leading order estimate so that it remains dominant in spite of the recent decrease of |Vub/Vcb | and |Vcb|. We expect typically BR(KL → π0e+e-)dir ≈ 6 × 10-12, although values as high as 10-11 are not yet excluded.
UR - http://www.scopus.com/inward/record.url?scp=0000194413&partnerID=8YFLogxK
U2 - 10.1016/0550-3213(94)90138-4
DO - 10.1016/0550-3213(94)90138-4
M3 - Article
AN - SCOPUS:0000194413
SN - 0550-3213
VL - 423
SP - 349
EP - 383
JO - Nuclear Physics, Section B
JF - Nuclear Physics, Section B
IS - 2-3
ER -