language: en

[Confidential: not for distribution. Submitted to IOP Publishing for peer review]

4 February 2010

Radiative Corrections to the CKM Unitarity Triangles

Shu Luo * and Zhi-zhong Xing
Institute of High Energy Physics and Theoretical Physics Center for Science Facilities, Chinese Academy of Sciences,
P.O. Box 918, Beijing 100049, China

Abstract The 3×3 CKM matrix defines six unitarity triangles in the complex plane, which will be carefully explored in the LHCb experiment and at the Super-B factory. We calculate the running effects of nine different inner angles and eighteen different sides of the six triangles from the electroweak scale to a superhigh-energy scale by using the one-loop renormalization-group equations, and demonstrate that all the nine angles are stable against radiative corrections. In particular, we find that the CP-violating angle α is most insensitive to the changes of energy scales.

PACS numbers: 12.15.Ff, 12.38.Bx, 12.10.Kt, 13.10.+q, 14.60.Pq, 25.30.Pt * Electronic address: luoshu@ihep.ac.cn Electronic address: xingzz@ihep.ac.cn