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Publikováno v:
Nucl.Phys. B681 (2004) 230-246
The differential equation in the external invariant p^2 satisfied by the master integral of the general massive 2-loop 4-denominator self-mass diagram is exploited and the expansion of the master integral at p^2=0 is obtained analytically. The system
Externí odkaz:
http://arxiv.org/abs/hep-ph/0312189
Publikováno v:
Nucl.Instrum.Meth. A502 (2003) 613-614
The system of 4 differential equations in the external invariant satisfied by the 4 master integrals of the general massive 2-loop sunrise self-mass diagram is solved by the Runge-Kutta method in the complex plane. The method offers a reliable and ro
Externí odkaz:
http://arxiv.org/abs/hep-ph/0211171
Publikováno v:
Nucl.Phys.Proc.Suppl. 116 (2003) 422-426
The 4-th order Runge-Kutta method in the complex plane is proposed for numerically advancing the solutions of a system of first order differential equations in one external invariant satisfied by the master integrals related to a Feynman graph. The p
Externí odkaz:
http://arxiv.org/abs/hep-ph/0211178
Publikováno v:
Nucl.Phys. B634 (2002) 309-325
The system of 4 differential equations in the external invariant satisfied by the 4 master integrals of the general massive 2-loop sunrise self-mass diagram is solved by the Runge-Kutta method in the complex plane. The method, whose features are disc
Externí odkaz:
http://arxiv.org/abs/hep-ph/0203256
Publikováno v:
Nucl.Phys. B611 (2001) 503-519
The threshold behavior of the master amplitudes for two loop sunrise self-mass graph is studied by solving the system of differential equations, which they satisfy. The expansion at the threshold of the master amplitudes is obtained analytically for
Externí odkaz:
http://arxiv.org/abs/hep-ph/0103014
Publikováno v:
Nucl.Phys. B581 (2000) 274-294
The values at pseudothreshold of two loop sunrise master amplitudes with arbitrary masses are obtained by solving a system of differential equations. The expansion at pseudothreshold of the amplitudes is constructed and some lowest terms are explicit
Externí odkaz:
http://arxiv.org/abs/hep-ph/9912501
Publikováno v:
Acta Phys.Polon. B29 (1998) 2627-2635
The general lines of the derivation and the main properties of the master equations for the master amplitudes associated to a given Feynman graph are recalled. Some results for the 2-loop self-mass graph with 4 propagators are then presented.
Co
Co
Externí odkaz:
http://arxiv.org/abs/hep-th/9807119
Publikováno v:
Nuovo Cim.A111:365-389,1998
The master differential equations in the external square momentum p^2 for the master integrals of the two-loop sunrise graph, in n-continuous dimensions and for arbitrary values of the internal masses, are derived. The equations are then used for wor
Externí odkaz:
http://arxiv.org/abs/hep-th/9805118
Publikováno v:
Nuovo Cim. A110 (1997) 515-536
We present the Monte Carlo program BHAGEN95, for calculating the cross-section of the Bhabha scattering process at LEP1/SLC and LEP2 energies, usable with continuity from small to large-angle configurations. We discuss some improvements in the event
Externí odkaz:
http://arxiv.org/abs/hep-ph/9704443