183 citations · 1.3k across the 27 of their papers we have counts for
30 papers
The unequal mass sunrise integral expressed through iterated integrals on
Christian Bogner, Stefan Müller-Stach, Stefan Weinzierl
We solve the two-loop sunrise integral with unequal masses systematically to all orders in the dimensional regularisation parameter . In order to do so, we transform t…
Theory for the FCC-ee : Report on the 11th FCC-ee Workshop
A. Blondel, J. Gluza, S. Jadach +83
The Future Circular Collider (FCC) at CERN, a proposed 100-km circular facility with several colliders in succession, culminates with a 100 TeV proton-proton collider. It offers a…
The number of master integrals as Euler characteristic
Thomas Bitoun, Christian Bogner, René Pascal Klausen +1
We give a brief introduction to a parametric approach for the derivation of shift relations between Feynman integrals and a result on the number of master integrals. The shift rela…
Analytic continuation of the kite family
Christian Bogner, Armin Schweitzer, Stefan Weinzierl
We consider results for the master integrals of the kite family, given in terms of ELi-functions which are power series in the nome of an elliptic curve. The analytic continuat…
Differential equations for Feynman integrals beyond multiple polylogarithms
Luise Adams, Christian Bogner, Ekta Chaubey +2
Differential equations are a powerful tool to tackle Feynman integrals. In this talk we discuss recent progress, where the method of differential equations has been applied to Feyn…
Feynman integral relations from parametric annihilators
Thomas Bitoun, Christian Bogner, Rene Pascal Klausen +1
We study shift relations between Feynman integrals via the Mellin transform through parametric annihilation operators. These contain the momentum space IBP relations, which are wel…