Second Order QCD Corrections,
Deep Inelastic Scattering

About the expressions:
  • The martrix elements are NOT summed over the final state polarizations.
  • Pij=(pi+pj)2, (i,j=2,3,4 or i,j=1,5)
    Pij=(pi-pj)2, (i=2,3,4     and j=1,5)
    Q2 = -p52
    s = p12
  • 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)
    • Second Order:



    p5 = p1 + p2 + p3, q2 = p52 = -Q2 < 0, p12 = p22 = p32 = 0


  • q + V --> q g, (DISq2gmat, asymmetry matrix element, polarized matrix element)



    • p5 = p1 + p2 + p3, q2 = p52 = -Q2 < 0, p12 = p22 = p32 = 0


  • g + V --> q q, (DISg2mat, polarized matrix element)



    • p5 = p1 + p2 + p3 + p4, q2 = p52 = -Q2 < 0, p12 = p22 = p32 = p42 = 0


  • q + V --> q g g, (DISgg2mat, Asymmetry matrix element, Polarized matrix element)



    • p5 = p1 + p2 + p3 + p4, q2 = p52 = -Q2 < 0, p12 = p22 = p32 = p42 = 0


  • g + V --> q q g, (DISgg2gmat, Polarized matrix element)



    • p5 = p1 + p2 + p3 + p4, q2 = p52 = -Q2 < 0, p12 = p22 = p32 = p42 = 0


  • q + V --> q q' q', (DISqq2mat, non-identical quarks, DISqqq2idmat, extra identical quark contributions)
  • Asymmetry matrix element (DISAsqqmat, non-identical quarks, DISAsidqqmat, extra identical quark contributions)
  • Polarized matrix element (non-identical quarks, extra identical quark contributions)


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