Second Order QCD Corrections,
Electron Positron Annihilation

About the expressions:
  • The projections are summed over all final state polarizations, whereas the matrixelements are not.
  • Pij=(pi+pj)2, (i,j=1,2,3,4)
    Pi5=(p5-pi)2, (i=1,2,3,4)
    Q2 = s = p52
  • The scalar integrals B0, C0, D0 are defined Appendix D of T. Matsuura, S.C. van der Marck, and W.L. van Neerven, Nucl. Phys. B319 (1989) 570.
  • Ca = 3
    Cf = 4/3
  • [e_q] equals the charge of the detected quark.
    [e_Q] equals the charge of the quark which is not detected.
    The axial couplings [a_q] and [a_Q] are similar.
  • n = 4 + eps
  • fi(i,j) = 1/(i + j * eps/2)



    • p5 = p1 + p2 + p3, s = p52 > 0, p12 = p22 = p32 = 0


    First Order:
  • V --> q q g, (Matrix element, Asymmetry matrix element, polarized matrix element)
    • Second Order:
  • V --> q q g, (FL,q, FT,q, F3,q, G1,q, FL,g, FT,g, G1,g, Matrix element, Asymmetry matrix element, polarized matrix element)





    • p5 = p1 + p2 + p3 + p4, s = p52 > 0, p12 = p22 = p32 = p42 = 0


    Second Order:
  • V --> q q g g, (FL,q, FT,q, F3,q, G1,q, FL,g, FT,g, G1,g, Matrix element, Asymmetry matrix element, Polarized matrix element)





    • Second Order:
  • V --> q q q q, (FL, FT, F3, G1)
  • Matrix elements (non-identical quarks, extra contributions due to identical quarks).
  • Asymmetry matrix elements (non-identical quarks, extra contributions due to identical quarks).
  • Polarized matrix elements (non-identical quarks, extra contributions due to identical quarks).


    • Last modified: Wed Jul 2 20:20:07 MET DST