Recent Developments of Muon g-2 from Lattice QCD

Guelpers, Vera

doi:10.22323/1.363.0224

Cited by 3 publications

(2 citation statements)

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“…Numerical lattice QCD (LQCD) provides an ideal tool in the determination of a HVP,LO µ , and many leading collaborations have already presented very advanced calculations [16,[18][19][20][21][22][23][24][25][26][27][28][29][30][31][32][33]. The observable can be directly extracted from a Euclidean electromagnetic-current two-point function and is thus well-suited to high-precision lattice determinations.…”

Section: Jhep10(2020)029 Introductionmentioning

confidence: 99%

Finite-volume and thermal effects in the leading-HVP contribution to muonic (g − 2)

Hansen

Patella

2020

J. High Energ. Phys.

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The leading finite-volume and thermal effects, arising in numerical lattice QCD calculations of $$ {a}_{\mu}^{\mathrm{HVP},\mathrm{LO}}\equiv {\left(g-2\right)}_{\mu}^{\mathrm{HVP},\mathrm{LO}}/2 $$ a μ HVP , LO ≡ g − 2 μ HVP , LO / 2 , are determined to all orders with respect to the interactions of a generic, relativistic effective field theory of pions. In contrast to earlier work [1] based in the finite-volume Hamiltonian, the results presented here are derived by formally summing all Feynman diagrams contributing to the Euclidean electromagnetic-current two-point function, with any number of internal pion loops and interaction vertices. As was already found in ref. [1], the leading finite-volume corrections to $$ {a}_{\mu}^{\mathrm{HVP},\mathrm{LO}} $$ a μ HVP , LO scale as exp[−mL] where m is the pion mass and L is the length of the three periodic spatial directions. In this work we additionally control the two sub-leading exponentials, scaling as exp[−$$ \sqrt{2} $$ 2 mL] and exp[−$$ \sqrt{3} $$ 3 mL]. As with the leading term, the coefficient of these is given by the forward Compton amplitude of the pion, meaning that all details of the effective theory drop out of the final result. Thermal effects are additionally considered, and found to be sub-percent-level for typical lattice calculations. All finite-volume corrections are presented both for $$ {a}_{\mu}^{\mathrm{HVP},\mathrm{LO}} $$ a μ HVP , LO and for each time slice of the two-point function, with the latter expected to be particularly useful in correcting small to intermediate current separations, for which the series of exponentials exhibits good convergence.

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Section: Jhep10(2020)029 Introductionmentioning

confidence: 99%

Finite-volume and thermal effects in the leading-HVP contribution to muonic (g − 2)

Hansen

Patella

2020

J. High Energ. Phys.

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“…A recent achievement in the theory regarding a µ is the calculation [4] of hadronic vacuum polarization a Had, VP µ and hadronic light-by-light a Had, LbL µ contributions from first principles using lattice QCD. Several collaborations are working on this, including RBC/UKQCD and Mainz.…”

Section: Introductionmentioning

confidence: 99%

Toward the Frontiers of Particle Physics with the Muon <em>g</em>-2 Experiment

Valetov

Muon²

2020

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The Muon g-2 Experiment (E989) at Fermilab has a goal of measuring the muon anomaly (aµ) with unprecedented precision using positive muons. This measurement is motivated by the difference between the previous Brookhaven aµ measurement and Standard Model prediction exceeding three standard deviations, which hints at the possibility of physics beyond the Standard Model. Muons are circulated in a storage ring, and the measurement requires a precise determination of the muon anomalous precession frequency (spin precession relative to momentum) from the resulting decay positron time and energy measurements collected with calorimeters. The average magnetic field seen by the muons needs to be known with high precision, and so the storage ring magnetic field is shimmed to be very uniform and is continually monitored with nuclear magnetic resonance (NMR) probes. Detailed Muon Campus beamline and muon storage ring simulations are also required for quantifying beam dynamics and spin-related systematic effects in the determination of the muon anomalous precession frequency, e.g. muon losses during the measurement window. At the time of the conference, the experiment has recently commenced Run-3 3 , and the release of Run-1 physics results is planned for 2020.

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