Massless Four-Loop Integrals and the Total Cross Section in e + e - Annihilation

The main purpose of particle physics is the explanation of the fundamental mechanism for the interaction of the elementary particles. On the experimental side the investigations take mainly place at the big accelerators at CERN (Geneva) or FERMILAB (Chicago). On the other hand it it essential to develop theoretical models which describe the fundamental interactions and which, of course, have to be confronted with the experiment.

[1]  P. Baikov Explicit solutions of the multi-loop integral recurrence relations and its application , 1996 .

[2]  A. Maier,et al.  Higher moments of heavy quark correlators in the low energy limit at O(αs2) , 2007, 0711.2636.

[3]  J.A.M. Vermaseren,et al.  New features of FORM , 2000 .

[4]  Broadhurst,et al.  Matching QCD and heavy-quark effective theory heavy-light currents at two loops and beyond. , 1995, Physical review. D, Particles and fields.

[5]  M. Frank,et al.  ParFORM: Parallel Version of the Symbolic Manipulation Program FORM , 2004, ArXiv.

[6]  P A Baikov,et al.  Scalar correlator at [symbol: see text](alpha(s)4), Higgs boson decay into bottom quarks, and bounds on the light-quark masses. , 2006, Physical review letters.

[7]  G. Amdhal,et al.  Validity of the single processor approach to achieving large scale computing capabilities , 1967, AFIPS '67 (Spring).

[8]  Alain Connes,et al.  Renormalization in quantum field theory and the Riemann-Hilbert problem , 1999 .

[9]  K. Chetyrkin,et al.  New Four Loop Results in QCD , 2006 .

[10]  V. Lubicz,et al.  Coupling of the light vector meson to the vector and to the tensor current , 2003, hep-lat/0301020.

[11]  K. Chetyrkin,et al.  Higgs Decay into Hadrons to Order alpha(s)**5 , 2006 .

[12]  E. Remiddi,et al.  The analytical value of the electron (g − 2) at order α3 in QED , 1996 .

[13]  J. Kuhn,et al.  QCD CORRECTIONS TO THE E+E- CROSS-SECTION AND THE Z BOSON DECAY RATE : CONCEPTS AND RESULTS , 1995, hep-ph/9503396.

[14]  K. Chetyrkin,et al.  Vacuum polarization in pQCD: first complete O(αs4) result , 2004 .

[15]  C. Sturm,et al.  Heavy Quark Masses from Sum Rules in Four-Loop Approximation , 2007, hep-ph/0702103.

[16]  Anthony S. Wojcik Afips Conference Proceedings , 1985 .

[17]  J. Kuhn,et al.  Massless propagators: applications in QCD and QED , 2008, 0810.4048.

[18]  P A Baikov,et al.  Strange-quark mass from tau-lepton decays with O(alpha3s) accuracy. , 2005, Physical review letters.

[19]  F. Tkachov,et al.  Integration by parts: The algorithm to calculate β-functions in 4 loops , 1981 .

[20]  J. A. M. Vermaseren,et al.  ParFORM: recent development , 2005, ArXiv.

[21]  J. A. M. Vermaseren,et al.  Extension of the functionality of the symbolic program FORM by external software , 2006, Comput. Phys. Commun..

[22]  Non-perturbative renormalisation of composite operators in lattice QCD , 1998, hep-lat/9807044.

[23]  P A Baikov,et al.  Top quark mediated Higgs boson decay into hadrons to order alphas5. , 2006, Physical review letters.

[24]  A general method for non-perturbative renormalization of lattice operators , 1994, hep-lat/9411010.

[25]  J. Kuhn,et al.  Five-loop vacuum polarization in pQCD: O(αs4Nf2) results , 2003 .

[26]  J. A. M. Vermaseren,et al.  The multithreaded version of FORM , 2007, Comput. Phys. Commun..

[27]  A. Khodjamirian,et al.  Strange quark mass from pseudoscalar sum rule with $O(\alpha_s^4)$ accuracy , 2005, hep-ph/0512295.

[28]  S. Laporta,et al.  difference equations , 2001 .

[29]  P. Baikov Explicit solutions of the 3-loop vacuum integral recurrence relations , 1996 .