GRACE with FORM

A new version of GRACE/1-loop , a system for the automatic calculation of 1-loop Feynman diagrams, has been developed after the replacement of its symbolic manipulation engine from REDUCE to FORM . This enables us the efficient memory management that is essential for the handling of a tremendous number of Feynman diagrams, so that the performance of GRACE/1-loop is significantly improved as demonstrated in the text.

[1]  T. Hahn.  New Features in FormCalc 4 , 2004 .

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

[3]  Stefan Dittmaier,et al.  Electroweak radiative corrections to e+ e- -> t anti-t H , 2003 .

[4]  J. Fujimoto,et al.  Full one loop electroweak radiative corrections to single Higgs production in e+ e- , 2003 .

[5]  T. Stelzer,et al.  Automatic generation of tree level helicity amplitudes , 1994, hep-ph/9401258.

[6]  D. Kreimer,et al.  xloops — automated Feynman diagram calculation , 1998 .

[7]  J. Fujimoto,et al.  Electroweak corrections to Higgs production through ZZ fusion at the linear collider , 2004 .

[8]  T. Hahn,et al.  Automatized One-Loop Calculations in 4 and D dimensions , 1998 .

[9]  Ansgar Denner,et al.  Feyn Calc―computer-algebraic calculation of Feynman amplitudes , 1991 .

[10]  Ma Wen-Gan,et al.  Electroweak radiative corrections to e+ e- ---> t anti-t h at linear colliders , 2003 .

[11]  P. Nogueira.  Automatic Feynman graph generation , 1993 .

[12]  Yoshimitsu Shimizu,et al.  Full O(α) electroweak and O(αs) corrections to e+e−→tt̄H , 2003 .

[13]  M. Steinhauser,et al.  Automatic Computation of Feynman Diagrams , 1999 .

[14]  Jian-Xiong Wang.  Automatic calculation of Feynman loop-diagrams: I. Generation of a simplified form of the amplitude , 1993 .

[15]  T. Hahn,et al.  Generating Feynman Diagrams and Amplitudes with FeynArts 3 , 2001 .

[16]  A. Denner,et al.  Feyn Arts ― computer-algebraic generation of Feynman graphs and amplitudes , 1990 .

[17]  Hui Chen,et al.  Electroweak radiative corrections to e+e−→tt̄h at linear colliders , 2003 .

[18]  J. Fujimoto,et al.  Full O(α) electroweak corrections to double Higgs-strahlung at the linear collider , 2003 .

[19]  J. Fujimoto,et al.  Full one-loop electroweak radiative corrections to single photon production in e+e- , 2004, hep-ph/0404098.

[20]  J. Fujimoto,et al.  GRACE at ONE-LOOP: Automatic calculation of 1-loop diagrams in the electroweak theory with gauge parameter independence checks , 2003, hep-ph/0308080.

[21]  M. Steinhauser.  MATAD: a program package for the computation of MAssive TADpoles , 2000 .