Calculate Alpha_s: Jet Multiplicity Rates

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serleon
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Hi!
Any idea of how to calculate alpha_s (strong coupling constant) from jet multiplicities, that means using (1+1) and (2+1) jet events rates?
Thanks
 
Think about the Feynman diagrams which make up the processes. At leading order the 2 jet rate is has two quarks in the final state, while the 3 jet rate has 2 quarks and a gluon. The gluon is radiated from a quark line, so there will be an extra factor of alpha_s.
 
As I have found, the amplitude for e+e- --> q _q would be (see attach)...
Maybe any other resource or book where I could find the calculations for e+e- --> q _q g
 
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  • Printed Feynman amplitude for a Z-boson exchange process: M = -(g_z^2 / (4[q^2 - (M_Z c)^2])) [ubar(4) gamma^mu (c_V^f - c_A^f gamma^5) v(3)] x [vbar(2) gamma_mu (c_V^e - c_A^e gamma^5) u(1)].
    2.JPG
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