Second order in mass ratio radiative-recoil corrections to hyperfine splitting in muonium

The angular asymmetry in decays of polarized muons and tau leptons is discussed. Both the standard [Formula: see text] Fermi model and the general parametrization via Michel parameters are considered. Numerical importance of contributions suppressed by charged lepton mass ratio is underlined. Contribution of the second order QED correction is estimated in the leading logarithm approximation.

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A second-order accurate non-intrusive staggered scheme for the interaction of ultra-lightweight rigid bodies with fluid flow

10.31224/osf.io/8mxgq ◽

2020 ◽

Author(s):

Chennakesava Kadapa

Keyword(s):

Incompressible Flows ◽

Rigid Bodies ◽

Relaxation Parameter ◽

Second Order ◽

Mass Ratio ◽

Computationally Efficient ◽

Efficient Scheme ◽

Staggered Scheme ◽

Low Mass ◽

Low Mass Ratio

This paper presents a staggered scheme with second-order temporal accuracy for fluid-structure interaction problems involving ultra-lightweight rigid bodies. The staggered scheme is based on the Dirichlet-Neumann coupling and is non-intrusive. First, the spectral properties of the staggered scheme are studied and also compared against the monolithic scheme using a linear model problem. Later, the suitability and effectiveness of the staggered scheme for problems involving incompressible flows and lightweight rigid solids are illustrated by using the examples of galloping of a square cylinder and lock-in of a circular cylinder for mass-ratio values as low as 0.01. This is the first time in the literature flow-induced vibrations of rigid bodies with such low mass ratio values are successfully simulated using a staggered scheme. Two different fluid solvers are considered to illustrate the non-intrusive nature of the proposed scheme. Guidelines for choosing the relaxation parameter are also provided. With its iteration-free nature and with a single (relaxation) parameter, the proposed staggered scheme renders itself as an accurate and computationally efficient scheme for fluid-rigid body interaction problems, including those involving lightweight structures.

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Corrections to hyperfine splitting and Lamb shift induced by diagrams with second order radiative insertions in the electron line

Proceedings of Conference on Precision Electromagnetic Measurements Digest ◽

10.1109/cpem.1994.333250 ◽

2002 ◽

Cited By ~ 1

Author(s):

M.I. Eides ◽

S.G. Karshenboim ◽

V.A. Shelyuto

Keyword(s):

Hyperfine Splitting ◽

Lamb Shift ◽

Second Order ◽

Electron Line

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Corrections to hyperfine splitting and Lamb shift induced by diagrams with second-order radiative insertions in the electron line

IEEE Transactions on Instrumentation and Measurement ◽

10.1109/19.377886 ◽

1995 ◽

Vol 44 (2) ◽

pp. 481-483 ◽

Cited By ~ 2

Author(s):

M.I. Eides ◽

S.G. Karshenboim ◽

V.A. Shelyuto

Keyword(s):

Hyperfine Splitting ◽

Lamb Shift ◽

Second Order ◽

Electron Line

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Regular second-order perturbations of binary black holes in the extreme mass ratio regime

Classical and Quantum Gravity ◽

10.1088/0264-9381/26/1/015007 ◽

2008 ◽

Vol 26 (1) ◽

pp. 015007 ◽

Cited By ~ 7

Author(s):

Carlos O Lousto ◽

Hiroyuki Nakano

Keyword(s):

Black Holes ◽

Second Order ◽

Mass Ratio ◽

Binary Black Holes

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Verification of 2D × 2D and Two-Species Vlasov-Poisson Solvers,

ESAIM Proceedings and Surveys ◽

10.1051/proc/201863078 ◽

2018 ◽

Vol 63 ◽

pp. 78-108 ◽

Cited By ~ 1

Author(s):

Yann Barsamian ◽

Joackim Bernier ◽

Sever A. Hirstoaga ◽

Michel Mehrenberger

Keyword(s):

Test Problem ◽

Single Species ◽

Dispersion Analysis ◽

Lagrangian Method ◽

Second Order ◽

Mass Ratio ◽

Particle In Cell ◽

First Order ◽

Dimensional Effects ◽

Order Dispersion

In [2], 1D×1D two-species Vlasov-Poisson simulations are performed by the semi-Lagrangian method. Thanks to a classical first order dispersion analysis, we are able to check the validity of their simulations; the extension to second order is performed and shown to be relevant for explaining further details. In order to validate multi-dimensional effects, we propose a 2D × 2D single species test problem that has true 2D effects coming from the sole second order dispersion analysis. Finally, we perform, in the same code, full 2D × 2D non linear two-species simulations with mass ratio 0:01, and consider the mixing of semi-Lagrangian and Particle-in-Cell methods.

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