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Precise data on e^+e^- to hadrons have recently become available and are used to compute the lowest-order hadronic vacuum polarisation contribution to the muon magnetic anomaly through dispersion relations. This is the case for the dominant…

High Energy Physics - Phenomenology · Physics 2017-02-13 Michel Davier

The hadronic contribution to the muon anomalous magnetic moment $a_\mu=(g_\mu-2)/2$ has to be determined at the per-mille level for the Standard Model prediction to match the expected final uncertainty of the ongoing E989 experiment. That…

High Energy Physics - Lattice · Physics 2021-01-13 Leonardo Giusti , Mattia Dalla Brida , Tim Harris , Michele Pepe

The contribution of the $\alpha^3$ single electron-loop vacuum-polarization diagrams to the Lamb shift of the muonic hydrogen has been evaluated recently by two independent methods. One uses the exact parametric representation of the…

High Energy Physics - Phenomenology · Physics 2009-10-31 T. Kinoshita , M. Nio

There are emerging tensions for theory results of the hadronic vacuum polarization contribution to the muon anomalous magnetic moment both within recent lattice QCD calculations and between some lattice QCD calculations and R-ratio results.…

High Energy Physics - Lattice · Physics 2020-04-29 Christoph Lehner , Aaron S. Meyer

Nonlinear optical responses are becoming increasingly relevant for characterizing the symmetries and quantum geometry of electronic phases in materials. Here, we develop an expanded diagrammatic scheme for calculating spatially dispersive…

Mesoscale and Nanoscale Physics · Physics 2023-08-16 Steven Gassner , Eugene J. Mele

Quantum loops induce an anomaly, a_mu, in the magnetic moment of the muon that can be accurately measured. Its Standard Model prediction is limited in precision by contributions from hadronic vacuum polarisation of the photon. The dominant…

High Energy Physics - Phenomenology · Physics 2011-09-20 Andreas Hoecker

Isospin-breaking corrections to the hadron vacuum polarization component of the anomalous magnetic moment of the muon are needed to ensure the theoretical precision of $g_\mu -2$ is below the experimental precision. We describe the status…

The Local Unitarity (LU) formalism provides a constructive, integrand-level realisation of the Kinoshita-Lee-Nauenberg (KLN) theorem, by combining loop and phase-space integrals appearing in scattering cross-sections in such a way that…

High Energy Physics - Phenomenology · Physics 2026-03-26 Zeno Capatti , Mathijs Fraaije , Valentin Hirschi , Lucien Huber , Ben Ruijl , Hua-Sheng Shao

Loop corrections to the power spectrum are frequently computed using approximate non-linear kernels adopted from an Einstein de-Sitter (EdS) cosmology. We present an algorithm that allows us to take the full time- and scale-dependence of…

Cosmology and Nongalactic Astrophysics · Physics 2021-10-04 Mathias Garny , Petter Taule

The first results on the complete next-to-next-to-leading order (NNLO) Quantum Chromodynamic (QCD) corrections to the production of di-leptons at hadron colliders in large extra dimension models with spin-2 particles are reported in this…

High Energy Physics - Phenomenology · Physics 2018-10-29 Taushif Ahmed , Pulak Banerjee , Prasanna K. Dhani , M. C. Kumar , Prakash Mathews , Narayan Rana , V. Ravindran

We present a new lattice QCD calculation of the leading order hadronic vacuum polarization (LO-HVP) contribution to the muon anomalous magnetic moment $a_\mu$. We reduce uncertainties compared to our earlier computation arXiv:2002.12347 by…

We present a combined next-to-leading order QCD analysis to data on both inclusive and semi-inclusive polarized deep inelastic scattering asymmetries. Performing NLO QCD global fits with different sets of observables, we evaluate the impact…

High Energy Physics - Phenomenology · Physics 2009-10-30 D. de Florian , O. Sampayo , R. Sassot

We study perturbative QCD corrections to deeply virtual Compton scattering on an unpolarized nucleon target in the flavor non-singlet sector to next-to-next-to-leading order accuracy, restricting ourselves to the kinematically dominant…

High Energy Physics - Phenomenology · Physics 2008-11-26 Dieter Müller

Precision theoretical predictions for high multiplicity scattering rely on the evaluation of increasingly complicated scattering amplitudes which come with an extremely high CPU cost. For state-of-the-art processes this can cause technical…

High Energy Physics - Phenomenology · Physics 2020-07-15 Simon Badger , Joseph Bullock

We discuss the calculation of the leading hadronic vacuum polarization in lattice QCD. Exploiting the excellent quality of the compiled experimental data for the e^+e^- --> hadrons cross-section, we predict the outcome of large-volume…

High Energy Physics - Lattice · Physics 2015-05-28 David Bernecker , Harvey B. Meyer

I review the status of lattice QCD calculations of the hadronic contributions to the muon's anomalous magnetic moment, focussing on the hadronic vacuum polarisation contribution which dominates the uncertainty of the Standard Model…

High Energy Physics - Phenomenology · Physics 2023-06-21 Hartmut Wittig

We calculate the next-to-next-to-leading order (NNLO) QED corrections to the $C$-odd part of the differential cross section of the $e^+e^-\to\mu^+\mu^-$ process. This part contributes to the angular and forward-backward asymmetry. Together…

High Energy Physics - Phenomenology · Physics 2026-05-15 Roman E. Gerasimov , Petr A. Krachkov , Roman N. Lee

The $O(\alpha^2\log(Q^2/m_e^2))$ leptonic QED corrections to unpolarized deeply inelastic electron-nucleon scattering are calculated in the mixed variables.

High Energy Physics - Phenomenology · Physics 2007-05-23 J. Blümlein , H. Kawamura

We introduce a new technique to calculate perturbative corrections to neutron-deuteron ($nd$) scattering that does not require calculation of the full off-shell scattering amplitude. Its relation to the more familiar partial-resummation…

Nuclear Theory · Physics 2015-04-21 Jared Vanasse

Recent calculations of the hadronic vacuum polarisation contribution are reviewed. The focus is put on the leading-order contribution to the muon magnetic anomaly involving $e^+e^-$ annihilation cross section data as input to a dispersion…

High Energy Physics - Phenomenology · Physics 2016-06-22 Zhiqing Zhang