ON-SHELL2

ON-SHELL2 allows to reduce all single scale propagator type diagrams with arbitrary set of indices (powers of propagators) to restricted set of master-integrals. This set of master-integrals are calculated analytically.

Updates

2004 Mar. 2: the fnum.prc is modified (thanks to John Gracey)
2004 Mar. 2: the V1001.prc is modified: numerator is improved (thanks to John Gracey)
2002 Dec. 05: the F10110.prc is modified: rec.relation is corrected (thanks to Veretin)
2002 Jan. 10: the master.inc is modified: ep part of F10101 is corrected
2001 Nov. 7: the finitem.prc is modified: ln(-mm?) = ln(mm)-i_*pi

ON-SHELL2 (uuencoded form)
ON-SHELL2 is a FORM code for the calculation of the two-loop single scale propagator type diagrams. The code is explained in hep-ph/9907431 . The set of master integral are calculated in hep-ph/9905249 and hep-th/0012189 . The linear in epsilon part of some master-integrals are given in hep-th/0004010 . The additional information is presented also in hep-ph/9905379 . The first real application - the calculation of the two-loop electroweak bosonic corrections to the pole masses of gauge boson within SM - is done in hep-ph/0105304 .

The historical development:

Originally, the package SHELL2 was developed by J.Fleischer and O.Tarasov (Comp.Phys.Comm.71 (1992) 193). It was essentially improved by L.Avdeev . This package allows to calculate only single scale diagrams existing within QCD/QED. In 1999 the first version containing all other type of diagrams was elaborated. It contains the FORM code and analytical results for master-integrals. The FORM code was improved in second version and a higher order epsilon expansion of some master-integral was presented in the following publications:

(J011) in hep-ph/9910223

(F10101, F00101, F00001) in hep-th/0004010

(J011, V1001, F10101) in hep-th/0012189

(V1111) in hep-ph/0503070 .

Please send bug reports, suggestions, fan mail, etc. to

Mikhail Kalmykov