Cutting massless four-loop propagators
V Magerya, A Pikelner - Journal of High Energy Physics, 2019 - Springer
A bstract Among the unitarity cuts of 4-loop massless propagators two kinds are currently
fully known: the 2-particle cuts with 3 loops corresponding to form-factors, and the 5-particle …
fully known: the 2-particle cuts with 3 loops corresponding to form-factors, and the 5-particle …
DREAM, a program for arbitrary-precision computation of dimensional recurrence relations solutions, and its applications
RN Lee, KT Mingulov - arXiv preprint arXiv:1712.05173, 2017 - arxiv.org
We present the Mathematica package DREAM for arbitrarily high precision computation of
multiloop integrals within the DRA (Dimensional Recurrence & Analyticity) method as …
multiloop integrals within the DRA (Dimensional Recurrence & Analyticity) method as …
Semi-and Fully-Inclusive Phase-Space Integrals at Four Loops
V Maheria - 2022 - ediss.sub.uni-hamburg.de
In this thesis we present the analytic calculation of all master integrals for 3-, 4-, and 5-
particle cuts of massless 4-loop propagators, as well as 3-, 4-, and 5-particle semi-inclusive …
particle cuts of massless 4-loop propagators, as well as 3-, 4-, and 5-particle semi-inclusive …
(mα2(Zα)6) contribution to Lamb shift from radiative corrections to the Wichmann-Kroll potential
PA Krachkov, RN Lee - Journal of High Energy Physics, 2023 - Springer
A bstract We derive an analytical expression for the contribution of the order mα 2 (Zα) 6 to
the hydrogen Lamb shift which comes from the diagrams for radiative corrections to the …
the hydrogen Lamb shift which comes from the diagrams for radiative corrections to the …
Five-particle phase-space integrals in QCD
O Gituliar, V Magerya, A Pikelner - Journal of High Energy Physics, 2018 - Springer
A bstract We present analytical expressions for the 31 five-particle phase-space master
integrals in massless QCD as an ϵ-series with coefficients being multiple zeta values of …
integrals in massless QCD as an ϵ-series with coefficients being multiple zeta values of …
A new method for finding more symmetry relations of Feynman integrals
Z Wu, Y Zhang - arXiv preprint arXiv:2406.20016, 2024 - arxiv.org
We introduce a new method for deriving Feynman integral symmetry relation. By solving the
ansatz of momentum transformation in the field of rational functions rather than constants …
ansatz of momentum transformation in the field of rational functions rather than constants …
contribution to Lamb shift from radiative corrections to the Wichmann-Kroll potential
PA Krachkov, RN Lee - arXiv preprint arXiv:2311.05860, 2023 - arxiv.org
We derive an analytical expression for the contribution of the order $ m\alpha^ 2 (Z\alpha)^
6$ to the hydrogen Lamb shift which comes from the diagrams for radiative corrections to the …
6$ to the hydrogen Lamb shift which comes from the diagrams for radiative corrections to the …