Hard processes in massless perturbative QCD

• The third-order coefficient function in DIS
• Parametrizations of the 2-loop DIS coefficient functions
• Additional NNLO coefficient functions for the photon structure
• Convolutions for the physical non-singlet evolution kernels
• The second-order coefficient functions for e+ e- --> h + X

The third-order coefficient functions for electromagnetic DIS

• The Fortran routines xclns3p.f and xclsg3p.f for the parametrized third-order coefficient functions for the longitudinal structure function, as presented and briefly discussed in hep-ph/0411112 (Phys. Lett. B606 (2005) 123-129).
• Their exact counterparts xclns3e.f, (non-singlet) xclps3e.f (pure-singlet) and xclgl3e.f (gluon) have been published, with the results for F₂, in hep-ph/0504242 (Nucl. Phys. B724 (2005) 3-182 [!]) -- here is a version without the appendices
• The corresponding routines for F₂ are xc2ns3p.f, xc2sg3p.f, xc2ns3e.f, xc2ps3e.f and xc2gl3e.f
• (Unoptimised) N-space subroutines for the parametrized non-singlet and singlet expressions are provided by c2lmom.f
• Finally a FORM file is available with the complete integer-N and x-space results for the above coefficient functions

NOTE: The sign of the &zeta₅ term in the first line of Eq. (4.19) is mistyped in the archived version second paper.

The third-order coefficient function for the odd-moment F₃

• The Fortran routine xc3ns3p.f for the parametrized third-order coefficient function for neutrino-antineutrino sum F₃ as given in hep-ph/0608307 (Nucl. Phys. B (Proc. Suppl.) 160 (2006) 44-50)

Parametrizations of the 2-loop DIS coefficient functions

• The Fortran routines xc2ns2p.f, xc3ns2p.f and xclns2p.f, for F_2,NS, F₃ and F_L,NS
• The corresponding routines xc2sg2p.f and xclsg2p.f for the singlet parts of F₂ and F_L

These parametrizations have been given in hep-ph/9907472 (Nucl. Phys. B568 (2000) 263-286) and hep-ph/0006154 (Nucl. Phys. B588 (2000) 345-373). While being accurate enough for normal applications, they are considerably faster (especially for F₂ and F₃), than the exact expressions of Sanchez Guillen et al. and Zijlstra / van Neerven.

NOTE: misprints in Eqs. (A.3) and (A.4) of hep-ph/0006154 have been corrected in the ps-file linked above.

Additional NNLO coefficient functions for the photon structure

• The Fortran routines xc2ph2p.f and xclph2p.f for the photonic coefficient functions for F₂ and F_L published in hep-ph/0110331 (Nucl. Phys. B621 (2002) 413-458).

Convolutions for the physical non-singlet evolution kernels

• The Fortran routine xk3cnvp.f for the parametrized convolutions contributing at NNLO for F_2,NS and F₃ .
• The corresponding convolutions entering at N³LO are given in xk24cnvp.f for F _2,NS and in xk34cnvp.f for F_3,NS

The non-singlet coefficient functions for e⁺ e^- --> h + X

• The Fortran routines xcttns2e.f for the transverse, xcltns2e.f for the longitudinal and xcatns2e.f for the asymmetric coefficient functions at the second order in a_S, recalculated in hep-ph/0604053 (Phys. Lett. B638 (2006) 61-67)
• The FORM file including (besides the splitting-function differences) these and the lower-order results