Search results for "High energy particle"

showing 3 items of 3 documents

Rationalizability of square roots

2021

Abstract Feynman integral computations in theoretical high energy particle physics frequently involve square roots in the kinematic variables. Physicists often want to solve Feynman integrals in terms of multiple polylogarithms. One way to obtain a solution in terms of these functions is to rationalize all occurring square roots by a suitable variable change. In this paper, we give a rigorous definition of rationalizability for square roots of ratios of polynomials. We show that the problem of deciding whether a single square root is rationalizable can be reformulated in geometrical terms. Using this approach, we give easy criteria to decide rationalizability in most cases of square roots i…

Algebra and Number TheoryHigh energy particleFeynman integralComputation010102 general mathematics010103 numerical & computational mathematicsRationalizabilityKinematics01 natural sciencesComputational MathematicsSquare rootApplied mathematics0101 mathematicsMathematicsVariable (mathematics)Journal of Symbolic Computation
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RationalizeRoots: Software Package for the Rationalization of Square Roots

2019

The computation of Feynman integrals often involves square roots. One way to obtain a solution in terms of multiple polylogarithms is to rationalize these square roots by a suitable variable change. We present a program that can be used to find such transformations. After an introduction to the theoretical background, we explain in detail how to use the program in practice.

FOS: Computer and information sciencesComputer Science - Symbolic ComputationHigh Energy Physics - TheoryHigh energy particleFeynman integralComputationGeneral Physics and AstronomyFOS: Physical sciencesengineering.materialSymbolic Computation (cs.SC)Rationalization (economics)01 natural sciences010305 fluids & plasmasHigh Energy Physics - Phenomenology (hep-ph)Square root0103 physical sciencesComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATIONAlgebraic number010306 general physicsMathematical PhysicsVariable (mathematics)MapleMathematical Physics (math-ph)AlgebraHigh Energy Physics - PhenomenologyHigh Energy Physics - Theory (hep-th)Hardware and ArchitectureengineeringComputer Science - Mathematical SoftwareMathematical Software (cs.MS)
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Summary Report of the Workshop on Polarized Electron Sources and Electron Spin Polarimeters

1991

The workshop was a satellite meeting of the 9th International Symposium on High Energy Spin Physics, Bonn 1990. It was the third in a row of similar workshops organised by Ch.K. Sinclair in Stanford 1983 [1] and in Minneapolis 1988 [2]. About fourty scientists from atomic, solid state, as well as high energy particle physics participated in the meeting. The broad spectrum of different fields of physics represented resulted in lively discussions throughout the workshop. It is hoped that the tradition of bringing together physicists working with polarized electrons in so different research fields, started by Ch.K. Sinclair in the Stanford meeting 1983, will find its contivation in the satelli…

PhysicsNuclear physicsHigh energyBroad spectrumHigh energy particleSpin polarizationSolid-stateElectronSpin (physics)
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