The QCD Adler Function and the Muon g-2 Anomaly from Renormalons

Article Physics, Particles & Fields

Resonant resurgent asymptotics from quantum field theory

Michael Borinsky et al.

Summary: This study performs an all-order resurgence analysis of a renormalon in six-dimensional scalar φ3 theory, revealing logarithmic terms and proposing an augmented formula for perturbative expansions associated with the renormalon.

NUCLEAR PHYSICS B (2022)

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Article Physics, Particles & Fields

Impact of correlations between aμ and αQED on the EW fit

Bogdan Malaescu et al.

Summary: This study investigates the potential impact on EW fits due to tensions between current determinations of HVP contributions to a mu, and takes into account the correlations between uncertainties in theoretical predictions of a mu and the running of alpha QED. The results suggest that large impacts on EW fits are possible in scenarios involving global shifts of full HVP contributions, but are much smaller if shifts are restricted to lower mass ranges and appropriate correlations are utilized. In the latter scenarios, the effects on EW fits are minimal.

EUROPEAN PHYSICAL JOURNAL C (2021)

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Article Physics, Nuclear

Non-Wilsonian ultraviolet completion via transseries

Alessio Maiezza et al.

Summary: This study investigates the implications of combining the perturbative renormalization program with the Borel-Ecalle resummation technique. A new type of nonperturbative fixed point for the scalar phi 4 model is identified, indicating an ultraviolet self-completion by transseries. It is also found that the scalar mass is sensitive to the cutoff without fixed points, offering a potential solution for Borel-Laplace resummation in nonasymptotically free models.

INTERNATIONAL JOURNAL OF MODERN PHYSICS A (2021)

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Article Astronomy & Astrophysics

Constraints on the two-pion contribution to hadronic vacuum polarization

Gilberto Colangelo et al.

Summary: This study explores the potential modification of the two-pion contribution to the anomalous magnetic moment of the muon without conflicting with low-energy hadron phenomenology elsewhere. By considering the dispersive representation of the e(+) e(-) -> 2 pi process, correlations are revealed between various physical quantities, showing that changes in the phase shift and inelastic contribution could substantially alter a(mu)(HVP). This demonstrates the importance of inelastic effects and suggests possible scenarios where a uniform shift around 4% is required to minimize the effect on the cross section.

PHYSICS LETTERS B (2021)

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Article Physics, Multidisciplinary

Borel-ecalle Resummation of a Two-Point Function

Pierre J. Clavier

Summary: The paper provides an overview of the tools and techniques of resurgence theory in the Borel-ecalle resummation method, applied to the massless Wess-Zumino model. By solving the renormalisation group equation for the two-point function and proving asymptotic exponential bounds, it is demonstrated that the two-point function of the Wess-Zumino model is Borel-ecalle summable.

ANNALES HENRI POINCARE (2021)

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Article Physics, Nuclear

Lattice-motivated QCD coupling and hadronic contribution to muon g-2

Gorazd Cvetic et al.

Summary: We present an updated version of a QCD coupling that satisfies various physical conditions, from high momenta to low momenta, and apply it to the analysis of semihadronic tau decay and muon anomalous magnetic moment. By evaluating the Adler function and regulating V-channel higher-twist OPE terms, we achieve a correct value a(mu)(had(1)). This analysis leads to a restriction on the value of the QCD coupling constant alpha(s)( M-Z(2); (MS) over bar) between 0.1171 and 0.1180, ensuring acceptable fit quality to various sum rules.

JOURNAL OF PHYSICS G-NUCLEAR AND PARTICLE PHYSICS (2021)

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Article Multidisciplinary Sciences

Leading hadronic contribution to the muon magnetic moment from lattice QCD

Sz. Borsanyi et al.

Summary: The standard model of particle physics describes the majority of experiments and observations involving elementary particles, with a long-standing discrepancy concerning the anomalous magnetic moment of the muon. Ongoing experiments aim to reduce measurement errors, theoretically attributed to the leading-order hadronic vacuum polarization contribution, to distinguish between experimental measurements and predictions. The developed methods using ab initio quantum chromodynamics and quantum electrodynamics simulations favor experimentally measured values over those obtained using dispersion methods, with potential for increased precision as computer technology advances.

NATURE (2021)

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Article Physics, Multidisciplinary

Measurement of the Positive Muon Anomalous Magnetic Moment to 0.46 ppm

B. Abi et al.

Summary: The experiment presented the first results of the Fermilab National Accelerator Laboratory (FNAL) Muon g - 2 Experiment for the positive muon magnetic anomaly a(mu) (g(mu) - 2)/2, which determined the anomaly from precision measurements of two angular frequencies. The result showed a deviation of 3.3 standard deviations from the standard model prediction, in agreement with previous measurements, increasing the tension between experiment and theory.

PHYSICAL REVIEW LETTERS (2021)

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Article Physics, Multidisciplinary

Yang-Mills at strong vs. weak coupling Renormalons, OPE and all that

Mikhail Shifman

Summary: The article discusses various situations in which perturbative expansions are used in Yang-Mills theories with asymptotic freedom and establishes the limits of its applicability.

EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS (2021)

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Article Physics, Multidisciplinary

On Haag's Theorem and Renormalization Ambiguities

Alessio Maiezza et al.

Summary: This paper revisits the implications of Haag's theorem in the context of the renormalization group, emphasizing the lack of discussion on the possible impact of the theorem on standard quantum field theory. It highlights the limitation imposed by Haag's theorem on the existence of non-perturbative quantum field theory.

FOUNDATIONS OF PHYSICS (2021)

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Article Astronomy & Astrophysics

Resurgence of the QCD Adler function

Alessio Maiezza et al.

Summary: The study focused on the non-perturbative effects of the QCD Adler function in the energy region of approximately 0.7 - 2.5 GeV, utilizing a renormalon-based evaluation with transseries within the resurgence of the Renormalization-Group-Equation.

PHYSICS LETTERS B (2021)

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Article Physics, Multidisciplinary

Quantum phase transition and resurgence: Lessons from three-dimensional N=4 supersymmetric quantum electrodynamics

Toshiaki Fujimori et al.

Summary: This study investigates the resurgence structure of a quantum field theory with a phase transition, focusing on interpretations of a second-order phase transition in three-dimensional N = 4 supersymmetric quantum electrodynamics. It is shown that the order of the phase transition is determined by how saddles collide at the critical point, and that the phase transition is accompanied by an infinite number of Stokes phenomena due to supersymmetry. These features are appropriately mapped to the Borel plane structures as expected by the resurgence theory.

PROGRESS OF THEORETICAL AND EXPERIMENTAL PHYSICS (2021)

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Article Physics, Multidisciplinary

Resurgence of the renormalization group equation

Jahmall Bersini et al.

ANNALS OF PHYSICS (2020)

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Article Physics, Particles & Fields

A new evaluation of the hadronic vacuum polarisation contributions to the muon anomalous magnetic moment and to α(mZ2)

M. Davier et al.

EUROPEAN PHYSICAL JOURNAL C (2020)

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Review Physics, Particles & Fields

Theory for muon-electron scattering @ 10 ppm: A report of the MUonE theory initiative

P. Banerjee et al.

EUROPEAN PHYSICAL JOURNAL C (2020)

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Non-perturbative completion of Hopf-algebraic Dyson-Schwinger equations

Michael Borinsky et al.

NUCLEAR PHYSICS B (2020)

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Review Physics, Multidisciplinary

The anomalous magnetic moment of the muon in the Standard Model

T. Aoyama et al.

PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS (2020)

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Article Physics, Multidisciplinary

Hadronic Vacuum Polarization: (g-2)μ versus Global Electroweak Fits

Andreas Crivellin et al.

PHYSICAL REVIEW LETTERS (2020)

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Physical resurgent extrapolation

Ovidiu Costin et al.

PHYSICS LETTERS B (2020)

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Article Astronomy & Astrophysics

Conformal mapping of the Borel plane: Going beyond perturbative QCD

Irinel Caprini

PHYSICAL REVIEW D (2020)

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Article Astronomy & Astrophysics

Muon g-2 and Δα connection

Alexander Keshavarzi et al.

PHYSICAL REVIEW D (2020)

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Review Physics, Multidisciplinary

A primer on resurgent transseries and their asymptotics

Ines Aniceto et al.

PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS (2019)

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Article Physics, Multidisciplinary

Non-local Lagrangians from renormalons and analyzable functions

Alessio Maiezza et al.

ANNALS OF PHYSICS (2019)

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An introduction to resurgence, trans-series and alien calculus

Daniele Dorigoni

ANNALS OF PHYSICS (2019)

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Article Physics, Multidisciplinary

Resurgent extrapolation: rebuilding a function from asymptotic data. Painleve I

Ovidiu Costin et al.

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL (2019)

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Article Astronomy & Astrophysics

Renormalon-motivated evaluation of QCD observables

Gorazd Cvetic

PHYSICAL REVIEW D (2019)

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Article Physics, Particles & Fields

Reevaluation of the hadronic vacuum polarisation contributions to the Standard Model predictions of the muon g-2 and α(mZ2) using newest hadronic cross-section data

M. Davier et al.

EUROPEAN PHYSICAL JOURNAL C (2017)

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Review Physics, Nuclear

The QCD running coupling

Alexandre Deur et al.

PROGRESS IN PARTICLE AND NUCLEAR PHYSICS (2016)

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New and old about renormalons: In memoriam Kolya Uraltsev

M. Shifman

INTERNATIONAL JOURNAL OF MODERN PHYSICS A (2015)

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Avoidance of a Landau pole by flat contributions in QED

Lutz Klaczynski et al.

ANNALS OF PHYSICS (2014)

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Techniques of evaluation of QCD low-energy physical quantities with running coupling with infrared fixed point

Gorazd Cvetic

PHYSICAL REVIEW D (2014)

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Article Astronomy & Astrophysics

New representation of the Adler function for lattice QCD

Anthony Francis et al.

PHYSICAL REVIEW D (2013)

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Review Physics, Nuclear

Muon (g-2): Experiment and Theory

James P. Miller et al.

ANNUAL REVIEW OF NUCLEAR AND PARTICLE SCIENCE, VOL 62 (2012)

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The semi-classical expansion and resurgence in gauge theories: new perturbative, instanton, bion, and renormalon effects

Philip C. Argyres et al.

JOURNAL OF HIGH ENERGY PHYSICS (2012)

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Resurgence and trans-series in Quantum Field Theory: the CPN-1 model

Gerald V. Dunne et al.

JOURNAL OF HIGH ENERGY PHYSICS (2012)

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Article Physics, Particles & Fields

Reevaluation of the hadronic contributions to the muon g-2 and to alpha(M-Z(2))

M. Davier et al.

EUROPEAN PHYSICAL JOURNAL C (2011)

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Review Physics, Multidisciplinary

The muon g-2

Fred Jegerlehner et al.

PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS (2009)

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Order αs4 QCD corrections to Z and τ decays

P. A. Baikov et al.

PHYSICAL REVIEW LETTERS (2008)

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Review Physics, Multidisciplinary

Muon (g-2):: experiment and theory

James P. Miller et al.

REPORTS ON PROGRESS IN PHYSICS (2007)

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Various versions of analytic QCD and skeleton-motivated evaluation of observables

Gorazd Cvetic et al.

PHYSICAL REVIEW D (2006)

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Review Physics, Multidisciplinary

The physics of hadronic tau decays

Michel Davier et al.

REVIEWS OF MODERN PHYSICS (2006)

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An approach for the evaluation of observables in analytic versions of QCD

Gorazd Cvetic et al.

JOURNAL OF PHYSICS G-NUCLEAR AND PARTICLE PHYSICS (2006)

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Review Astronomy & Astrophysics

Muon anomalous magnetic moment: A harbinger for new physics

A Czarnecki et al.

PHYSICAL REVIEW D (2001)

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The QCD Adler Function and the Muon g-2 Anomaly from Renormalons

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