Results 31 to 40 of about 1,325 (265)
On a procedure to derive ϵ-factorised differential equations beyond polylogarithms
Journal of High Energy Physics, 2023 In this manuscript, we elaborate on a procedure to derive ϵ-factorised differential equations for multi-scale, multi-loop classes of Feynman integrals that evaluate to special functions beyond multiple polylogarithms.
Lennard Görges +3 more
doaj +1 more source
A symbol and coaction for higher-loop sunrise integrals
SciPost Physics Core, 2023 We construct a symbol and coaction for the $l$-loop sunrise family of integrals, both for equal-mass and generic-mass cases. These constitute the first concrete examples of symbols and coactions for integrals involving Calabi-Yau threefolds and higher ...
Andreas Forum, Matt von Hippel
doaj +1 more source
FEBS Open Bio, EarlyView.This protocol paper outlines methods to establish the success of a time‐resolved serial crystallographic experiment, by means of statistical analysis of timepoint data in reciprocal space and models in real space. We show how to amplify the signal from excited states to visualise structural changes in successful experiments.
Jake Hill +4 more
wiley +1 more source
IEEE Access, 2021 This paper presents a simple, didactical and compact solution for the components of the magnetic vector potential and magnetic field generated by a circular arc filament carrying a direct current using the well-known incomplete elliptic integrals, their ...
Migdonio Alberto Gonzalez +1 more
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How phagocytic cells kill bacteria: Lessons from a professional killer
FEBS Open Bio, EarlyView.How phagocytic cells ingest and kill bacteria has been studied for more than a century, but many questions remain unanswered. The study of the amoeba Dictyostelium discoideum brings new answers, and new questions. Professional phagocytic cells such as neutrophils and macrophages, as well as free‐living soil amoebae like Dictyostelium discoideum, employ
Otmane Lamrabet, Pierre Cosson
wiley +1 more source
On the monotonicity of the quotient of certain abelian integrals
International Journal of Mathematics and Mathematical Sciences, 1993 We prove that the quotient of abelian integrals associated to an elliptic surface is bounded and strictly increasing by first determining the Picard-Fuchs equation satisfied by the abelian integrals and the Riccati equation satisfied by the quotient of ...
Min Ho Lee
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Two dialects for KZB equations: generating one-loop open-string integrals
Journal of High Energy Physics, 2020 Two different constructions generating the low-energy expansion of genus-one configuration-space integrals appearing in one-loop open-string amplitudes have been put forward in refs. [1–3].
Johannes Broedel +2 more
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A Feynman integral depending on two elliptic curves
Journal of High Energy Physics, 2022 We study a two-loop four-point function with one internal mass. This Feynman integral is one of the simplest Feynman integrals depending on two elliptic curves. We transform the associated differential equation into an ε-form. We study the entries of the
Hildegard Müller, Stefan Weinzierl
doaj +1 more source
Toward Symbolic Integration of Elliptic Integrals
Journal of Symbolic Computation, 1999 Integrals are considered of the form \(\int_y^x\prod_{i=1}^h(a_i+b_it)^{-1/2} \prod_{j=1}^n(a_j+b_jt)^{m_j} dt\), where \(h=3\) or \(4\), \(n\geq h\), the \(m\)'s are integers, and ...
openaire +2 more sources