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The Vector Pion form factor below 1 GeV is analyzed using experimental data on its modulus, the P-wave pion pion phase shifts and dispersion relation. It is found that causality is satisfied. Using dispersion relation, terms proportional to…

High Energy Physics - Phenomenology · Physics 2007-05-23 Tran N. Truong

Simulating samples from arbitrary probability distributions is a major research program of statistical computing. Recent work has shown promise in an old idea, that sampling from a discrete distribution can be accomplished by perturbing and…

Computation · Statistics 2016-04-13 Chris J. Maddison

In these lectures we give a concise introduction to the ideas of renormalon calculus in QED and QCD. We focus in particular on the example of the Adler D function of vacuum polarization, and on relations between perturbative renormalon…

High Energy Physics - Phenomenology · Physics 2011-03-28 C. J. Maxwell

We extend existing dispersive approach in subloop insertion to the case of crossed two-loop box type topologies. Based on the ideas of the Feynman trick, mass shift approach and dispersive representation of two-point Passarino-Veltman…

High Energy Physics - Theory · Physics 2018-09-18 A. Aleksejevs

This paper proposes a Sequential Monte Carlo approach for the Bayesian estimation of mixed causal and noncausal models. Unlike previous Bayesian estimation methods developed for these models, Sequential Monte Carlo offers extensive…

Econometrics · Economics 2025-01-08 Gianluca Cubadda , Francesco Giancaterini , Stefano Grassi

We present a calculation of the full set of next-to-next-to-leading-order QED corrections to unpolarised M{\o}ller scattering. This encompasses photonic, leptonic, and non-perturbative hadronic corrections and includes electron mass effects…

High Energy Physics - Phenomenology · Physics 2022-02-28 Pulak Banerjee , Tim Engel , Nicolas Schalch , Adrian Signer , Yannick Ulrich

A recent line of research has exploited pre-trained generative diffusion models as priors for solving Bayesian inverse problems. We contribute to this research direction by designing a sequential Monte Carlo method for linear-Gaussian…

Machine Learning · Computer Science 2025-10-13 Filip Ekström Kelvinius , Zheng Zhao , Fredrik Lindsten

We present the NNLO QCD virtual corrections for qurak-antiquark -> gluon photon, quark-antiquark -> photon photon and the NNLO QED virtual corrections for electron positron -> photon photon and all processes related by crossing symmetry. We…

High Energy Physics - Phenomenology · Physics 2008-11-26 C. Anastasiou , E. W. N. Glover , M. E. Tejeda-Yeomans

The Diffusion Monte Carlo method is devoted to the computation of electronic ground-state energies of molecules. In this paper, we focus on implementations of this method which consist in exploring the configuration space with a {\bf fixed}…

Numerical Analysis · Mathematics 2007-05-23 Tony Lelievre , Mohamed El Makrini , Benjamin Jourdain

This paper develops and analyzes an efficient numerical method for solving elliptic partial differential equations, where the diffusion coefficients are random perturbations of deterministic diffusion coefficients. The method is based upon…

Numerical Analysis · Mathematics 2016-03-30 X. Feng , J. Lin. , C. Lorton

Exclusive and semi-exclusive processes, the diffractive dissociation of hadrons into jets, and hard diffractive processes such as vector meson leptoproduction provide new testing grounds for QCD and essential information on the structure of…

High Energy Physics - Phenomenology · Physics 2007-05-23 S. J. Brodsky

Hard scattering events in high-energy collisions produce highly virtual partons that subsequently fragment into collimated hadronic cascades. When such partonic showers evolve in a QCD medium, as in deep-inelastic scattering or heavy-ion…

High Energy Physics - Phenomenology · Physics 2026-05-28 João Barata , Meijian Li , Wenyang Qian , Carlos A. Salgado , João M. Silva

Recent developments in the QCD description of the pion structure are reviewed. The CLEO pion-photon transition data analysis favors a distribution amplitude for the pion that is double-humped but endpoint-suppressed. After a short outline…

High Energy Physics - Phenomenology · Physics 2009-11-10 A. P. Bakulev , S. V. Mikhailov , N. G. Stefanis

We apply the retarded/advanced formalism of real time field theory to the QED or QED like case. We obtain a general expression for the imaginary part of the two-point correlation function in terms of discontinuities. The hard loop expansion…

High Energy Physics - Phenomenology · Physics 2007-05-23 P. Aurenche , T. Becherrawy , E. Petitgirard

This work is a pedagogical introduction to the Lund string fragmentation model and the Feynman-Field hadron production model. Derivations of important formulas are worked out in details whenever possible. An example is given to show how to…

High Energy Physics - Phenomenology · Physics 2007-05-23 Alfred Tang

Exciton diffusion plays a vital role in the function of many organic semiconducting opto-electronic devices, where an accurate description requires precise control of heterojunctions. This poses a challenging problem because the…

Computational Physics · Physics 2020-12-10 Liyao Lyu , Zhiwen Zhang , Jingrun Chen

Detailed and precise background predictions are the backbone of large parts of high-energy collider phenomenology. This requires to embed precision QCD calculations into detailed event generators, to produce comprehensive software…

High Energy Physics - Phenomenology · Physics 2022-02-03 Valerio Bertone , Stefan Prestel

Using the approach based on conformal symmetry we calculate the two-loop coefficient function for the axial-vector contributions to two-photon processes in the $\overline{\rm MS}$ scheme. This is the last missing element for the complete…

High Energy Physics - Phenomenology · Physics 2021-11-17 V. M. Braun , A. N. Manashov , S. Moch , J. Schoenleber

It is one of the most challenging problems in applied mathematics to approximatively solve high-dimensional partial differential equations (PDEs). Recently, several deep learning-based approximation algorithms for attacking this problem…

Numerical Analysis · Mathematics 2023-02-10 Christian Beck , Martin Hutzenthaler , Arnulf Jentzen , Benno Kuckuck

The diagram technique allows one to calculate the correction factors which can be used in Monte Carlo simulation of some processes. This is equivalent to the calculation with accounting for all or some part of the interference…

High Energy Physics - Phenomenology · Physics 2010-11-11 Yu. M. Shabelski
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