Flavour Singlet ${\cal O}(\alpha_s^2 m_b^2/m_t^2)$ Corrections to the Partial Decay Rate $\Gamma(Z\rightarrow b\bar{b})$

K.G. Chetyrkin; A. Kwiatkowski

Abstract

We analytically compute the flavour singlet ${\cal O}(\alpha_s^2 m_b^2/m_t^2)$ radiative corrections to the partial decay rate $\Gamma(Z\rightarrow b\bar{b})$. These corrections arise from anomalous ``double traingle'' diagrams containing a single $\gamma_5$ matrix inside each of two closed fermion loops. They represent the next-to-leading term of the asymptotic expansion in the inverse large top mass. As a byproduct of the calculcation we confirm the results of B.Kniehl and J.H.K\uhn for the flavour singlet massless corrections \cite{KniKue90} as well as our previous ${\cal O}(\alpha_s^2 m_b^2/M_Z^2)$ result \cite{CheKwi93}.

Keywords

PhysicsMassless particleSinglet stateInverseParticle physicsBar (unit)Radiative transferFermionNuclear physicsQuantum mechanicsGeometryMathematics

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Publication Info

Year: 1993
Type: preprint
Citations: 8
Access: Closed

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APA Style

                            
                                    K.G. Chetyrkin, 
                                
                                    A. Kwiatkowski
                                
                            (1993). 
                            Flavour Singlet ${\cal O}(\alpha_s^2 m_b^2/m_t^2)$ Corrections to the Partial Decay Rate $\Gamma(Z\rightarrow b\bar{b})$. 
                            arXiv (Cornell University)
                            
                            .