Results 21 to 30 of about 29,966 (283)
The unequal mass sunrise integral expressed through iterated integrals on M‾1,3
Nuclear Physics B, 2020 We solve the two-loop sunrise integral with unequal masses systematically to all orders in the dimensional regularisation parameter ε. In order to do so, we transform the system of differential equations for the master integrals to an ε-form. The sunrise
Christian Bogner +2 more
doaj +1 more source
Meromorphic modular forms and the three-loop equal-mass banana integral
Journal of High Energy Physics, 2022 We consider a class of differential equations for multi-loop Feynman integrals which can be solved to all orders in dimensional regularisation in terms of iterated integrals of meromorphic modular forms.
Johannes Broedel +2 more
doaj +1 more source
SciPost Physics Proceedings, 2022 We discuss the analytic structure of the master integrals relevant for computing the com- plete set of leading-colour analytic helicity amplitudes for top-quark pair production via gluon fusion at two loops in QCD.
Ekta Chaubey
doaj +1 more source
Coupling iterated Kolmogorov diffusions [PDF]
, 2004 The Kolmogorov (1934) diffusion is the two-dimensional diffusion generated by real Brownian motion B and its time integral integral B d t. In this paper we construct successful co-adapted couplings for iterated Kolmogorov diffusions defined by adding ...
Kendall, W. S., Price, Catherine J.
core +3 more sources
Symmetries of certain double integrals related to Hall effect devices [PDF]
, 2020 Producción CientíficaOne encounters iterated elliptic integrals in the study of Hall effect devices, as a result of conformal mappings of Schwarz–Christoffel type.
Ausserlechner, Udo +2 more
core +2 more sources
New Integral Inequalities for Iterated Integrals with Applications [PDF]
Journal of Inequalities and Applications, 2007 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ryoo Cheon Seoung +2 more
openaire +4 more sources
Master integrals for bipartite cuts of three-loop photon self energy
Journal of High Energy Physics, 2021 We calculate the master integrals for bipartite cuts of the three-loop propagator QED diagrams. These master integrals determine the spectral density of the photon self energy.
R. N. Lee, A. I. Onishchenko
doaj +1 more source
Modular graph forms from equivariant iterated Eisenstein integrals
Journal of High Energy Physics, 2022 The low-energy expansion of closed-string scattering amplitudes at genus one introduces infinite families of non-holomorphic modular forms called modular graph forms.
Daniele Dorigoni +7 more
doaj +1 more source
One-loop open-string integrals from differential equations: all-order α′-expansions at n points
Journal of High Energy Physics, 2020 We study generating functions of moduli-space integrals at genus one that are expected to form a basis for massless n-point one-loop amplitudes of open superstrings and open bosonic strings.
Carlos R. Mafra, Oliver Schlotterer
doaj +1 more source
The inverse Mellin transform via analytic continuation
Journal of High Energy Physics, 2023 We present a method to calculate the x-space expressions of massless or massive operator matrix elements in QCD and QED containing local composite operator insertions, depending on the discrete Mellin index N, directly, without computing the Mellin-space
A. Behring, J. Blümlein, K. Schönwald
doaj +1 more source