TY - JOUR
T1 - Two-loop anomalous dimension matrix for ΔS = 1 weak non-leptonic decays (I). O(α2s)
AU - Buras, Andrzej J.
AU - Jamin, Matthias
AU - Lautenbacher, Markus E.
AU - Weisz, Peter H.
N1 - Funding Information:
* Supported by the German Bundesministerium für Forschung und Technologie under contract 06 TM 761 and by the CEC Science project SC1-CT91-0729.
PY - 1993/7/12
Y1 - 1993/7/12
N2 - We calculate the two-loop 10×10 anomalous dimension matrix O(α2s) involving current-current operators, QCD penguin operators, and electroweak penguin operators especially relevant for ΔS = 1 weak non-leptonic decays, but also important for ΔB = 1 decays. The calculation is performed in two schemes for γ5: the dimensional regularization scheme with anticommuting γ5 (NDR), and in the 't Hooft-Veltman scheme. We demonstrate how a direct calculation of diagrams involving γ5 in closed fermion loops can be avoided thus allowing a consistent calculation in the NDR scheme. The compatibility of the results obtained in the two schemes considered is verified and the properties of the resulting matrices are discussed. The two-loop corrections are found to be substantial. The two-loop anomalous dimension matrix O(ααs), required for a consistent inclusion of electroweak penguin operators, is presented in a subsequent publication.
AB - We calculate the two-loop 10×10 anomalous dimension matrix O(α2s) involving current-current operators, QCD penguin operators, and electroweak penguin operators especially relevant for ΔS = 1 weak non-leptonic decays, but also important for ΔB = 1 decays. The calculation is performed in two schemes for γ5: the dimensional regularization scheme with anticommuting γ5 (NDR), and in the 't Hooft-Veltman scheme. We demonstrate how a direct calculation of diagrams involving γ5 in closed fermion loops can be avoided thus allowing a consistent calculation in the NDR scheme. The compatibility of the results obtained in the two schemes considered is verified and the properties of the resulting matrices are discussed. The two-loop corrections are found to be substantial. The two-loop anomalous dimension matrix O(ααs), required for a consistent inclusion of electroweak penguin operators, is presented in a subsequent publication.
UR - http://www.scopus.com/inward/record.url?scp=0003145854&partnerID=8YFLogxK
U2 - 10.1016/0550-3213(93)90397-8
DO - 10.1016/0550-3213(93)90397-8
M3 - Article
AN - SCOPUS:0003145854
SN - 0550-3213
VL - 400
SP - 37
EP - 74
JO - Nuclear Physics, Section B
JF - Nuclear Physics, Section B
IS - 1-3
ER -