Timelike pion form factor in lattice QCD

Feng, Xu; Aoki, Sinya; Hashimoto, S.; Kaneko, T.

doi:10.1103/physrevd.91.054504

Cited by 116 publications

(131 citation statements)

References 63 publications

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“…Timelike properties are also difficult to extract in lattice QCD [483,484] and they are hard to reproduce in microscopic calculations because an infinite summation of gluons is required to dynamically generate the characteristic meson poles as described in Sec. 4.2.…”

Section: Methodological Overviewmentioning

confidence: 99%

Baryons as relativistic three-quark bound states

Eichmann

Sanchis-Alepuz

Williams

et al. 2016

Progress in Particle and Nuclear Physics

418

530

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We review the spectrum and electromagnetic properties of baryons described as relativistic three-quark bound states within QCD. The composite nature of baryons results in a rich excitation spectrum, whilst leading to highly non-trivial structural properties explored by the coupling to external (electromagnetic and other) currents. Both present many unsolved problems despite decades of experimental and theoretical research. We discuss the progress in these fields from a theoretical perspective, focusing on nonperturbative QCD as encoded in the functional approach via Dyson-Schwinger and Bethe-Salpeter equations. We give a systematic overview as to how results are obtained in this framework and explain technical connections to lattice QCD. We also discuss the mutual relations to the quark model, which still serves as a reference to distinguish 'expected' from 'unexpected' physics. We confront recent results on the spectrum of non-strange and strange baryons, their form factors and the issues of two-photon processes and Compton scattering determined in the DysonSchwinger framework with those of lattice QCD and the available experimental data. The general aim is to identify the underlying physical mechanisms behind the plethora of observable phenomena in terms of the underlying quark and gluon degrees of freedom.

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Section: Methodological Overviewmentioning

confidence: 99%

Baryons as relativistic three-quark bound states

Eichmann

Sanchis-Alepuz

Williams

et al. 2016

Progress in Particle and Nuclear Physics

418

530

View full text Add to dashboard Cite

show abstract

“…This has been the subject of a few recent lattice calculations [89][90][91]. With the pion form factor at hand, the long-distance part of the iso-vector correlator G ρρ (x 0 ) ext can be obtained straightforwardly.…”

Section: Gounaris-sakurai Based Extension Of the Vector Correlatormentioning

confidence: 99%

The hadronic vacuum polarization contribution to the muon g − 2 from lattice QCD

Morte

Francis

Gülpers

et al. 2017

J. High Energ. Phys.

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We present a calculation of the hadronic vacuum polarization contribution to the muon anomalous magnetic moment, a hvp µ , in lattice QCD employing dynamical up and down quarks. We focus on controlling the infrared regime of the vacuum polarization function. To this end we employ several complementary approaches, including Padé fits, time moments and the time-momentum representation. We correct our results for finitevolume effects by combining the Gounaris-Sakurai parameterization of the timelike pion form factor with the Lüscher formalism. On a subset of our ensembles we have derived an upper bound on the magnitude of quark-disconnected diagrams and found that they decrease the estimate for a hvp JHEP10 (2017)020 10 −10 , where the first error is statistical, and the second denotes the combined systematic uncertainty. Based on our findings we discuss the prospects for determining a hvp µ with sub-percent precision.

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“…two-particle asymptotic states [5,12,13,16,17,[37][38][39][40][41][42][43]. The latter are referred to throughout this work as transition amplitudes.…”

Section: Introductionmentioning

confidence: 99%

“…Indeed, the first lattice QCD (LQCD) calculations of resonant J → 2 and 1+J → 2 transition processes were published less than a year ago. 1 These studies considered γ → ππ [5] and γ π → ππ [6] transitions. In Ref.…”

Section: Introductionmentioning

confidence: 99%

Relativistic, model-independent, multichannel 2→2 transition amplitudes in a finite volume

2016

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We derive formalism for determining 2 + J → 2 infinite-volume transition amplitudes from finitevolume matrix elements. Specifically, we present a relativistic, model-independent relation between finite-volume matrix elements of external currents and the physically observable infinite-volume matrix elements involving two-particle asymptotic states. The result presented holds for states composed of two scalar bosons. These can be identical or non-identical and, in the latter case, can be either degenerate or non-degenerate. We further accommodate any number of strongly-coupled two-scalar channels. This formalism will, for example, allow future lattice QCD calculations of the ρ-meson form factor, in which the unstable nature of the ρ is rigorously accommodated.

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Timelike pion form factor in lattice QCD

Cited by 116 publications

References 63 publications

Baryons as relativistic three-quark bound states

Baryons as relativistic three-quark bound states

The hadronic vacuum polarization contribution to the muon g − 2 from lattice QCD

Relativistic, model-independent, multichannel 2→2 transition amplitudes in a finite volume

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