Beam dynamics corrections to the Run-1 measurement of the muon anomalous magnetic moment at Fermilab

Year: 2021

Authors: Albahri T., Anastasi A., Badgley K., Baessler S., Bailey I., Baranov VA., Barlas-Yucel E., Barrett T., Bedeschi F., Berz M., Bhattacharya M., Binney HP., Bloom P., Bono J., Bottalico E., Bowcock T., Cantatore G., Carey RM., Casey BCK., Cauz D., Chakraborty R., Chang SP., Chapelain A., Charity S., Chislett R., Choi J., Chu Z., Chupp TE., Corrodi S., Cotrozzi L., Crnkovic JD., Dabagov S., Debevec PT., Di Falco S., Di Meo P., Di Sciascio G., Di Stefano R., Driutti A., Duginov VN., Eads M., Esquivel J., Farooq M., Fatemi R., Ferrari C., Fertl M., Fiedler A., Fienberg AT., Fioretti A., Flay D., Frlez E., Froemming NS., Fry J., Gabbanini C., Galati MD., Ganguly S., Garcia A., George J., Gibbons LK., Gioiosa A., Giovanetti KL., Girotti P., Gohn W., Gorringe T., Grange J., Grant S., Gray F., Haciomeroglu S., Halewood-Leagas T., Hampai D., Han F., Hempstead J., Herrod AT., Hertzog DW., Hesketh G., Hibbert A., Hodge Z., Holzbauer JL., Hong KW., Hong R., Iacovacci M., Incagli M., Kammel P., Kargiantoulakis M., Karuza M., Kaspar J., Kawall D., Kelton L., Keshavarzi A., Kessler D., Khaw KS., Khechadoorian Z., Khomutov NV., Kiburg B., Kiburg M., Kim O., Kim YI., King B., Kinnaird N., Korostelev M., Kraegeloh E., Kuchinskiy NA., Labe KR., LaBounty J., Lancaster M., Lee MJ., Lee S., Li B., Li D., Li L., Logashenko I., Campos AL., Luca A., Lukicov G., Lusiani A., Lyon AL., MacCoy B., Madrak R., Makino K., Marignetti F., Mastroianni S., Miller JP., Miozzi S., Morse WM., Mott J., Nath A., Newton D., Nguyen H., Osofsky R., Park S., Pauletta G., Piacentino GM., Pilato RN., Pitts KT., Plaster B., Pohlman N., Polly CC., Price J., Quinn B., Raha N., Ramachandran S., Ramberg E., Ritchie JL., Roberts BL., Rubin DL., Santi L., Sathyan D., Schlesier C., Schreckenberger A., Semertzidis YK., Smith MW., Sorbara M., Sttzckinger D., Stapleton J., Stoughton C., Stratakis D., Stuttard T., Swanson HE., Sweetmore G., Sweigart DA., Syphers MJ., Tarazona DA., Teubner T., Tewsley-Booth AE., Thomson K., Tishchenko V., Tran NH., Turner W., Valetov E., Vasilkova D., Venanzoni G., Walton T., Weisskopf A., Welty-Rieger L., Winter P., Wolski A., Wu W.

Autors Affiliation: Argonne Natl Lab, Lemont, IL USA; Boston Univ, Boston, MA 02215 USA; Brookhaven Natl Lab, Upton, NY 11973 USA; Budker Inst Nucl Phys, Novosibirsk, Russia; Inst Basic Sci IBS, Ctr Axion & Precis Phys CAPP, Daejeon, South Korea; Cornell Univ, Ithaca, NY USA; Fermilab Natl Accelerator Lab, POB 500, Batavia, IL 60510 USA; Ist Nazl Fis Nucl, Sez Trieste, Grp Collegato Udine, Udine, Italy; Ist Nazl Fis Nucl, Lab Nazl Frascati, Frascati, Italy; Ist Nazl Fis Nucl, Sez Napoli, Naples, Italy; Ist Nazl Fis Nucl, Sez Pisa, Pisa, Italy; Ist Nazl Fis Nucl, Sez Roma Tor Vergata, Rome, Italy; Ist Nazl Fis Nucl, Sez Trieste, Trieste, Italy; CNR, Ist Nazl Ott, Pisa, Italy; James Madison Univ, Dept Phys & Astron, Harrisonburg, VA 22807 USA; Johannes Gutenberg Univ Mainz, Inst Phys & Cluster Excellence PRISMA, Mainz, Germany; Joint Inst Nucl Res, Dubna, Russia; Korea Adv Inst Sci & Technol KAIST, Dept Phys, Daejeon, South Korea; Univ Lancaster, Lancaster, England; Michigan State Univ, E Lansing, MI 48824 USA; North Cent Coll, Naperville, IL USA; Northern Illinois Univ, De Kalb, IL 60115 USA; Regis Univ, Denver, CO USA; Scuola Normale Super Pisa, Pisa, Italy; Shanghai Jiao Tong Univ, Sch Phys & Astron, Shanghai, Peoples R China; Shanghai Jiao Tong Univ, Tsung Dao Lee Inst, Shanghai, Peoples R China; Tech Univ Dresden, Inst Kern & Teilchenphys, Dresden, Germany; Univ Molise, Campobasso, Italy; Univ Cassino & Lazio Merid, Cassino, Italy; Univ Napoli, Naples, Italy; Univ Pisa, Pisa, Italy; Univ Roma Tor Vergata, Rome, Italy; Univ Trieste, Trieste, Italy; Univ Udine, Udine, Italy; UCL, Dept Phys & Astron, London, England; Univ Illinois, Urbana, IL USA; Univ Kentucky, Lexington, KY USA; Univ Liverpool, Liverpool, Merseyside, England; Univ Manchester, Dept Phys & Astron, Manchester, Lancs, England; Univ Massachusetts, Dept Phys, Amherst, MA USA; Univ Michigan, Ann Arbor, MI 48109 USA; Univ Mississippi, University, MS 38677 USA; Univ Rijeka, Rijeka, Croatia; Univ Texas Austin, Dept Phys, Austin, TX 78712 USA; Univ Virginia, Charlottesville, VA USA; Univ Washington, Seattle, WA 98195 USA; Oak Ridge Natl Lab, Oak Ridge, TN USA; Cockcroft Inst Accelerator Sci & Technol, Daresbury, England; Shanghai Key Lab Particle Phys & Cosmol, Shanghai, Peoples R China; Key Lab Particle Phys Astrophys & Cosmol MOE, Shanghai, Peoples R China; Lebedev Phys Inst, Moscow, Russia; NRNU MEPhI, Moscow, Russia; Shenzhen Technol Univ, Shenzhen, Peoples R China; Novosibirsk State Univ, Novosibirsk, Russia.

Abstract: This paper presents the beam dynamics systematic corrections and their uncertainties for the Run-1 dataset of the Fermilab Muon g – 2 Experiment. Two corrections to the measured muon precession frequency omega(m)(a) are associated with well-known effects owing to the use of electrostatic quadrupole (ESQ) vertical focusing in the storage ring. An average vertically oriented motional magnetic field is felt by relativistic muons passing transversely through the radial electric field components created by the ESQ system. The correction depends on the stored momentum distribution and the tunes of the ring, which has relatively weak vertical focusing. Vertical betatron motions imply that the muons do not orbit the ring in a plane exactly orthogonal to the vertical magnetic field direction. A correction is necessary to account for an average pitch angle associated with their trajectories. A third small correction is necessary, because muons that escape the ring during the storage time are slightly biased in initial spin phase compared to the parent distribution. Finally, because two high-voltage resistors in the ESQ network had longer than designed RC time constants, the vertical and horizontal centroids and envelopes of the stored muon beam drifted slightly, but coherently, during each storage ring fill. This led to the discovery of an important phase-acceptance relationship that requires a correction. The sum of the corrections to omega(m)(a) is 0.50 +/- 0.09 ppm; the uncertainty is small compared to the 0.43 ppm statistical precision of omega(m)(a).

Journal/Review: PHYSICAL REVIEW ACCELERATORS AND BEAMS

Volume: 24 (4)      Pages from: 44002-1  to: 44002-34

More Information: We thank the Fermilab management and staff for their strong support of this experiment, as well as the tremendous support from our university and national laboratory engineers, technicians, and workshops. The Muon g -2 Experiment was performed at the Fermi National Accelerator Laboratory, a U.S. Department of Energy, Office of Science, HEP User Facility. Fermilab is managed by Fermi Research Alliance, LLC (FRA), acting under Contract No. DE-AC02-07CH11359. Additional support for the experiment was provided by the Department of Energy offices of High Energy Physics and Nuclear Physics (USA), the National Science Foundation (USA), the Istituto Nazionale di Fisica Nucleare (Italy), the Science and Technology Facilities Council (UK), the Royal Society (UK), the European Union’s Horizon 2020 research and innovation program under the Marie Sklodowska-Curie Grant Agreements No. 690835 and No. 734303, the National Natural Science Foundation of China (Grants No. 11975153 and No. 12075151), MSIP, NRF, and IBSR017-D1 (Republic of Korea), and the German Research Foundation (DFG) through the Cluster of Excellence PRISMAthorn (EXC 2118/1, Project ID No. 39083149).
KeyWords: G-2 Experiment; Frequency
DOI: 10.1103/PhysRevAccelBeams.24.044002

Citations: 44
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