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1. Measurement of the anomalous precession frequency of the muon in the Fermilab Muon <math><mi>g</mi><mo>−</mo><mn>2</mn></math> Experiment

Author

P. Bloom, P. Kammel, Timothy Chupp, C. Schlesier, P. Girotti, M. J. Lee, A. Nath, Frederick Gray, C. Gabbanini, D. Shemyakin, C. C. Polly, L. Cotrozzi, V. N. Duginov, G. Venanzoni, T. Stuttard, G. Lukicov, M. Iacovacci, H. E. Swanson, T. P. Gorringe, B. C.K. Casey, J. Grange, N. H. Tran, K. W. Hong, K. T. Pitts, R. T. Chislett, Fabrizio Marignetti, A. Lucà, Martin Fertl, E. Barlas-Yucel, J. George, A. Kuchibhotla, Dariush Hampai, T. Walton, D. Cauz, G. Sweetmore, J. Bono, I. R. Bailey, Dinko Pocanic, J. L. Holzbauer, Gavin Grant Hesketh, J. L. Ritchie, Alexander Keshavarzi, H. P. Binney, A. García, Manolis Kargiantoulakis, A. Basti, Barry King, B. MacCoy, M. Kiburg, David Rubin, Alexey Anisenkov, V. Tishchenko, Marin Karuza, H. Nguyen, P. Di Meo, Claudio Ferrari, N. Kinnaird, Liang Li, L. K. Gibbons, N. Raha, R. Chakraborty, D. Flay, R. N. Pilato, M. Incagli, M. Lancaster, Michael Syphers, S. Baeßler, T. J. V. Bowcock, J. LaBounty, G. M. Piacentino, D. Vasilkova, S. Park, A. Lusiani, T. Albahri, R. Madrak, Z. Hodge, Dominik Stöckinger, A. Chapelain, Brad Plaster, R. M. Carey, Dongdong Li, J. D. Crnkovic, D. W. Hertzog, Selcuk Haciomeroglu, J. P. Miller, Andrzej Wolski, Tabitha Halewood-leagas, Franco Bedeschi, B. L. Roberts, S. Grant, J. Fry, Kyoko Makino, J.B. Hempstead, S. Di Falco, K. S. Khaw, W. Turner, Z. Chu, A. T. Herrod, J. D. Price, T. Barrett, N. V. Khomutov, M. Farooq, P. Winter, J. Stapleton, R. Fatemi, D. Kawall, S. Charity, L. Santi, A. Schreckenberger, E. Valetov, B. Quinn, Yannis K. Semertzidis, B. Li, K. L. Giovanetti, A. E. Tewsley-Booth, S. Lee, Ran Hong, S. Leo, M. D. Galati, A.T. Fienberg, Sultan B. Dabagov, S. P. Chang, L. Kelton, G. Pauletta, Rachel Osofsky, G. Di Sciascio, S. Ganguly, D.A. Sweigart, Meghna Bhattacharya, Thomas Teubner, A. Gioiosa, S. Miozzi, B. Kiburg, J. Esquivel, A. Lorente Campos, David Kessler, E. Bottalico, M. Sorbara, Christopher Stoughton, J. Mott, Kayleigh Anne Thomson, Giovanni Cantatore, A. Fioretti, A. Anastasi, Wanwei Wu, Karie Badgley, S. Mastroianni, O. Kim, William Morse, L. Welty-Rieger, A. L. Lyon, A. Hibbert, A. Weisskopf, P. T. Debevec, W. Gohn, E. J. Ramberg, R. Di Stefano, E. Kraegeloh, Martin Berz, Z. Khechadoorian, S. Ramachandran, D. Stratakis, S. Corrodi, D. A. Tarazona, V. A. Baranov, J. Choi, F. Han, Nicholas A. Pohlman, M. Eads, I. Logashenko, N. A. Kuchinskiy, M. W. Smith, Y. I. Kim, A. Driutti, J. Kaspar, K. R. Labe, N. S. Froemming, E. Frlež, Albahri, T., Anastasi, A., Anisenkov, A., Badgley, K., Baeßler, S., Bailey, I., Baranov, V. A., Barlas-Yucel, E., Barrett, T., Basti, A., Bedeschi, F., Berz, M., Bhattacharya, M., Binney, H. P., Bloom, P., Bono, J., Bottalico, E., Bowcock, T., Cantatore, G., Carey, R. M., Casey, B. C. K., Cauz, D., Chakraborty, R., Chang, S. P., Chapelain, A., Charity, S., Chislett, R., Choi, J., Chu, Z., Chupp, T. E., Corrodi, S., Cotrozzi, L., Crnkovic, J. D., Dabagov, S., Debevec, P. T., Di Falco, S., Di Meo, P., Di Sciascio, G., Di Stefano, R., Driutti, A., Duginov, V. N., Eads, M., Esquivel, J., Farooq, M., Fatemi, R., Ferrari, C., Fertl, M., Fienberg, A. T., Fioretti, A., Flay, D., Frlež, E., Froemming, N. S., Fry, J., Gabbanini, C., Galati, M. D., Ganguly, S., Garcia, A., George, J., Gibbons, L. K., Gioiosa, A., Giovanetti, K. L., Girotti, P., Gohn, W., Gorringe, T., Grange, J., Grant, S., Gray, F., Haciomeroglu, S., Halewood-Leagas, T., Hampai, D., Han, F., Hempstead, J., Herrod, A. T., Hertzog, D. W., Hesketh, G., Hibbert, A., Hodge, Z., Holzbauer, J. L., Hong, K. W., Hong, R., Iacovacci, M., Incagli, M., Kammel, P., Kargiantoulakis, M., Karuza, M., Kaspar, J., Kawall, D., Kelton, L., Keshavarzi, A., Kessler, D., Khaw, K. S., Khechadoorian, Z., Khomutov, N. V., Kiburg, B., Kiburg, M., Kim, O., Kim, Y. I., King, B., Kinnaird, N., Kraegeloh, E., Kuchibhotla, A., Kuchinskiy, N. A., Labe, K. R., Labounty, J., Lancaster, M., Lee, M. J., Lee, S., Leo, S., Li, B., Li, D., Li, L., Logashenko, I., Lorente Campos, A., Lucà, A., Lukicov, G., Lusiani, A., Lyon, A. L., Maccoy, B., Madrak, R., Makino, K., Marignetti, F., Mastroianni, S., Miller, J. P., Miozzi, S., Morse, W. M., Mott, J., Nath, A., Nguyen, H., Osofsky, R., Park, S., Pauletta, G., Piacentino, G. M., Pilato, R. N., Pitts, K. T., Plaster, B., Počanić, D., Pohlman, N., Polly, C. C., Price, J., Quinn, B., Raha, N., Ramachandran, S., Ramberg, E., Ritchie, J. L., Roberts, B. L., Rubin, D. L., Santi, L., Schlesier, C., Schreckenberger, A., Semertzidis, Y. K., Shemyakin, D., Smith, M. W., Sorbara, M., Stöckinger, D., Stapleton, J., Stoughton, C., Stratakis, D., Stuttard, T., Swanson, H. E., Sweetmore, G., Sweigart, D. A., Syphers, M. J., Tarazona, D. A., Teubner, T., Tewsley-Booth, A. E., Thomson, K., Tishchenko, V., Tran, N. H., Turner, W., Valetov, E., Vasilkova, D., Venanzoni, G., Walton, T., Weisskopf, A., Welty-Rieger, L., Winter, P., Wolski, A., and Wu, W.

Subjects
Physics::Instrumentation and Detectors, Measure (physics), FOS: Physical sciences, 7. Clean energy, 01 natural sciences, Omega, High Energy Physics - Experiment, Nuclear physics, Nuclear Experiment, High Energy Physics - Experiment (hep-ex), muon, 0103 physical sciences, Fermilab, Nuclear Experiment (nucl-ex), 010306 general physics, Larmor precession, Physics, Muon, 010308 nuclear & particles physics, Settore FIS/01 - Fisica Sperimentale, anomalous magnetic moment, 3. Good health, Magnetic field, Physics::Accelerator Physics, High Energy Physics::Experiment, Storage ring, Fermi Gamma-ray Space Telescope
Abstract

The Muon g-2 Experiment at Fermi National Accelerator Laboratory (FNAL) has measured the muon anomalous precession frequency $\omega_a$ to an uncertainty of 434 parts per billion (ppb), statistical, and 56 ppb, systematic, with data collected in four storage ring configurations during its first physics run in 2018. When combined with a precision measurement of the magnetic field of the experiment's muon storage ring, the precession frequency measurement determines a muon magnetic anomaly of $a_{\mu}({\rm FNAL}) = 116\,592\,040(54) \times 10^{-11}$ (0.46 ppm). This article describes the multiple techniques employed in the reconstruction, analysis and fitting of the data to measure the precession frequency. It also presents the averaging of the results from the eleven separate determinations of \omega_a, and the systematic uncertainties on the result., Comment: 29 pages, 19 figures. Published in Physical Review D

Published
2021
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2. Magnetic Field Measurement and Analysis for the Muon g-2 Experiment at Fermilab

Author

Z. Chu, M. Eads, M. Lancaster, T. Halewood-Leagas, D. Flay, I. Logashenko, N. A. Kuchinskiy, M. W. Smith, Y. I. Kim, S.B. Dabagov, B. MacCoy, N. H. Tran, K. W. Hong, Liang Li, L. Santi, A. Chapelain, K. S. Khaw, K. T. Pitts, R. Fatemi, I. R. Bailey, E. Bottalico, Andrzej Wolski, R. N. Pilato, P. Bloom, M. Iacovacci, G. Pauletta, M. Incagli, R. Di Stefano, Timothy Chupp, E. Barlas-Yucel, G. Di Sciascio, G. Sweetmore, D. Cauz, P. Girotti, H. Nguyen, Thomas Teubner, D.A. Sweigart, A. E. Tewsley-Booth, G. Piacentino, D. Stöckinger, Karie Badgley, L. Kelton, P. Winter, Brad Plaster, J. L. Holzbauer, R. Chislett, B. Quinn, R. M. Carey, A. Conway, Kyoko Makino, A. Hibbert, B. C. K. Casey, A. Driutti, J. George, A. Lorente Campos, W. Turner, A. Lucà, S. Ramachandran, W. Wu, G. Hesketh, E. Valetov, E. Kraegeloh, Franco Bedeschi, A. Gioiosa, P. T. Debevec, L. Cotrozzi, V. N. Duginov, S. Corrodi, S. Miozzi, Yannis K. Semertzidis, M. J. Lee, S. Mastroianni, P. Di Meo, Martin Berz, K. L. Giovanetti, D. Stratakis, G. Lukicov, C. Gabbanini, J.B. Hempstead, A. Weisskopf, V. Tishchenko, B. Kiburg, H. E. Swanson, O. Kim, Michael Syphers, R. Osofsky, T. Stuttard, J. Esquivel, Dariush Hampai, T. J. V. Bowcock, Adam L. Lyon, Z. Khechadoorian, Meghna Bhattacharya, T. Barrett, Martin Fertl, D. Shemyakin, V. A. Baranov, Manolis Kargiantoulakis, R. Madrak, Marin Karuza, D. Vasilkova, S. Park, N. Kinnaird, A. Lusiani, T. Albahri, E. Ramberg, Nicholas A. Pohlman, D. Kawall, A. Schreckenberger, J. L. Ritchie, A. T. Herrod, Selcuk Haciomeroglu, L. K. Gibbons, J. Stapleton, Fabrizio Marignetti, K. Thomson, J. LaBounty, W. Gohn, G. Venanzoni, B. Li, Claudio Ferrari, Dinko Pocanic, S. P. Chang, S. Charity, T. Walton, T. P. Gorringe, Benjamin T. King, A. Fioretti, A. Anastasi, Sudeshna Ganguly, S. Lee, Ran Hong, M. D. Galati, A.T. Fienberg, William Morse, L. Welty-Rieger, Alejandro Garcia, J. Grange, J. Choi, Dongdong Li, D. W. Hertzog, A. Keshavarzi, M. Sorbara, F. Han, J. Bono, J. Mott, P. Kammel, C. Schlesier, Giovanni Cantatore, S. Di Falco, R. Chakraborty, C. C. Polly, J. P. Miller, M. Kiburg, J. Kaspar, David Rubin, S. Baeßler, K. R. Labe, N. S. Froemming, H. P. Binney, B. L. Roberts, S. Grant, J. Price, N. Raha, Z. Hodge, N. V. Khomutov, M. Farooq, Jason Crnkovic, D. A. Tarazona, C. Stoughton, A. Nath, Frederick Gray, David Kessler, Albahri, T., Anastasi, A., Badgley, K., Baessler, S., Bailey, I., Baranov, V. A., Barlas-Yucel, E., Barrett, T., Bedeschi, F., Berz, M., Bhattacharya, M., Binney, H. P., Bloom, P., Bono, J., Bottalico, E., Bowcock, T., Cantatore, G., Carey, R. M., Casey, B. C. K., Cauz, D., Chakraborty, R., Chang, S. P., Chapelain, A., Charity, S., Chislett, R., Choi, J., Chu, Z., Chupp, T. E., Conway, A., Corrodi, S., Cotrozzi, L., Crnkovic, J. D., Dabagov, S., Debevec, P. T., Di Falco, S., Di Meo, P., Di Sciascio, G., Di Stefano, R., Driutti, A., Duginov, V. N., Eads, M., Esquivel, J., Farooq, M., Fatemi, R., Ferrari, C., Fertl, M., Fienberg, A. T., Fioretti, A., Flay, D., Froemming, N. S., Gabbanini, C., Galati, M. D., Ganguly, S., Garcia, A., George, J., Gibbons, L. K., Gioiosa, A., Giovanetti, K. L., Girotti, P., Gohn, W., Gorringe, T., Grange, J., Grant, S., Gray, F., Haciomeroglu, S., Halewood-Leagas, T., Hampai, D., Han, F., Hempstead, J., Herrod, A. T., Hertzog, D. W., Hesketh, G., Hibbert, A., Hodge, Z., Holzbauer, J. L., Hong, K. W., Hong, R., Iacovacci, M., Incagli, M., Kammel, P., Kargiantoulakis, M., Karuza, M., Kaspar, J., Kawall, D., Kelton, L., Keshavarzi, A., Kessler, D., Khaw, K. S., Khechadoorian, Z., Khomutov, N. V., Kiburg, B., Kiburg, M., Kim, O., Kim, Y. I., King, B., Kinnaird, N., Kraegeloh, E., Kuchinskiy, N. A., Labe, K. R., Labounty, J., Lancaster, M., Lee, M. J., Lee, S., Li, B., Li, D., Li, L., Logashenko, I., Lorente Campos, A., Luca, A., Lukicov, G., Lusiani, A., Lyon, A. L., Maccoy, B., Madrak, R., Makino, K., Marignetti, F., Mastroianni, S., Miller, J. P., Miozzi, S., Morse, W. M., Mott, J., Nath, A., Nguyen, H., Osofsky, R., Park, S., Pauletta, G., Piacentino, G. M., Pilato, R. N., Pitts, K. T., Plaster, B., Pocanic, D., Pohlman, N., Polly, C. C., Price, J., Quinn, B., Raha, N., Ramachandran, S., Ramberg, E., Ritchie, J. L., Roberts, B. L., Rubin, D. L., Santi, L., Schlesier, C., Schreckenberger, A., Semertzidis, Y. K., Shemyakin, D., Smith, M. W., Sorbara, M., Stockinger, D., Stapleton, J., Stoughton, C., Stratakis, D., Stuttard, T., Swanson, H. E., Sweetmore, G., Sweigart, D. A., Syphers, M. J., Tarazona, D. A., Teubner, T., Tewsley-Booth, A. E., Thomson, K., Tishchenko, V., Tran, N. H., Turner, W., Valetov, E., Vasilkova, D., Venanzoni, G., Walton, T., Weisskopf, A., Welty-Rieger, L., Winter, P., Wolski, A., Wu, W., Baeßler, S., Lucà, A., Počanić, D., and Stöckinger, D.

Subjects
Field (physics), Physics::Instrumentation and Detectors, FOS: Physical sciences, 7. Clean energy, 01 natural sciences, Omega, High Energy Physics - Experiment, 010305 fluids & plasmas, Nuclear physics, High Energy Physics - Experiment (hep-ex), muon, 0103 physical sciences, Proton spin crisis, Fermilab, Nuclear Experiment (nucl-ex), 010306 general physics, Nuclear Experiment, Larmor precession, Physics, Muon, Settore FIS/01 - Fisica Sperimentale, VACUUM POLARIZATION CONTRIBUTIONSTEMPERATURE-DEPENDENCEPROTON NMRMOMENTSUSCEPTIBILITYTERMS, anomalous magnetic moment, Muon g-2 Experiment, anomalous precession frequency, Magnetic field, anomalous precession frequency, Muon g-2 Experiment, Fermi Gamma-ray Space Telescope
Abstract

The Fermi National Accelerator Laboratory has measured the anomalous precession frequency $a^{}_\mu = (g^{}_\mu-2)/2$ of the muon to a combined precision of 0.46 parts per million with data collected during its first physics run in 2018. This paper documents the measurement of the magnetic field in the muon storage ring. The magnetic field is monitored by nuclear magnetic resonance systems and calibrated in terms of the equivalent proton spin precession frequency in a spherical water sample at 34.7$^\circ$C. The measured field is weighted by the muon distribution resulting in $\tilde{\omega}'^{}_p$, the denominator in the ratio $\omega^{}_a$/$\tilde{\omega}'^{}_p$ that together with known fundamental constants yields $a^{}_\mu$. The reported uncertainty on $\tilde{\omega}'^{}_p$ for the Run-1 data set is 114 ppb consisting of uncertainty contributions from frequency extraction, calibration, mapping, tracking, and averaging of 56 ppb, and contributions from fast transient fields of 99 ppb., Comment: Added one citation and corrected missing normalization in Eqs (35) and (36)

Published
2021
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3. Beam dynamics corrections to the Run-1 measurement of the muon anomalous magnetic moment at Fermilab

Author

K. S. Khaw, C. Schlesier, Diktys Stratakis, R. Fatemi, S. Corrodi, D. Newton, K. T. Pitts, R. T. Chislett, L. K. Gibbons, Kyoko Makino, E. Bottalico, A. Gioiosa, J. LaBounty, J. Bono, I. R. Bailey, P. Kammel, D. Kawall, T. J. V. Bowcock, H. P. Binney, W. Turner, A. T. Herrod, S. Miozzi, A. Schreckenberger, E. Valetov, N. H. Tran, K. W. Hong, J. Esquivel, M. Sorbara, Christopher Stoughton, Fabrizio Marignetti, A. Lucà, L. Kelton, M. Eads, D. Stöckinger, T. Barrett, G. Piacentino, J. Mott, S. Baeßler, Bck Casey, Kayleigh Anne Thomson, Giovanni Cantatore, Rachel Osofsky, M. Kiburg, E. Barlas-Yucel, Michael Syphers, C. C. Polly, J. Choi, R. Chakraborty, D. Flay, David Rubin, J. Grange, N. A. Kuchinskiy, M. W. Smith, G. Lukicov, M. Iacovacci, G. Pauletta, J. L. Ritchie, B. MacCoy, L. Cotrozzi, V. N. Duginov, A. Lorente Campos, S. Lee, Ran Hong, G. Sweetmore, D.A. Sweigart, M. Korostelev, Dongdong Li, D. W. Hertzog, Alexander Keshavarzi, G. Di Sciascio, Alejandro L. Garcia, Liang Li, F. Han, D. Sathyan, A.T. Fienberg, Sultan B. Dabagov, M. J. Lee, S. P. Chang, Benjamin T. King, Marin Karuza, R. N. Pilato, M. Incagli, J.B. Hempstead, B. Quinn, L. Santi, N. Kinnaird, F. Gray, P. Winter, L. Welty-Rieger, Meghna Bhattacharya, H. Nguyen, P. Di Meo, T. Stuttard, A. L. Lyon, David Kessler, A. Chapelain, J. Kaspar, B. Li, Galati, Sudeshna Ganguly, Andrzej Wolski, A. Driutti, D. A. Tarazona, Brad Plaster, R. M. Carey, D. Cauz, G. Venanzoni, J. Fry, B. Kiburg, J. P. Miller, W. Gohn, B. L. Roberts, S. Grant, V. A. Baranov, Nicholas A. Pohlman, N. V. Khomutov, M. Farooq, Jason Crnkovic, A. Hibbert, K. R. Labe, P. T. Debevec, Thomas Teubner, S. Di Falco, J. D. Price, Yi Kim, I.B. Logashenko, Yannis K. Semertzidis, K. L. Giovanetti, A. E. Tewsley-Booth, E. Frlež, Martin Berz, S. Charity, T. Walton, Z. Khechadoorian, S. Ramachandran, A. Fiedler, T. P. Gorringe, William Morse, A. Fioretti, A. Anastasi, O. Kim, A. Weisskopf, Wanwei Wu, Karie Badgley, S. Mastroianni, J. L. Holzbauer, Manolis Kargiantoulakis, S. Park, A. Lusiani, T. Albahri, R. Madrak, Selcuk Haciomeroglu, Z. Chu, Dariush Hampai, Gavin Grant Hesketh, J. George, Tishchenko, D. Vasilkova, Franco Bedeschi, P. Bloom, Timothy Chupp, P. Girotti, Nathan Froemming, J. Stapleton, Dinko Pocanic, M. Lancaster, C. Gabbanini, N. Raha, H. E. Swanson, Martin Fertl, Z. Hodge, Tabitha Halewood-leagas, E. J. Ramberg, A. Nath, R. Di Stefano, E. Kraegeloh, Claudio Ferrari, Albahri, T., Anastasi, A., Badgley, K., Baessler, S., Bailey, I., Baranov, V. A., Barlas-Yucel, E., Barrett, T., Bedeschi, F., Berz, M., Bhattacharya, M., Binney, H. P., Bloom, P., Bono, J., Bottalico, E., Bowcock, T., Cantatore, G., Carey, R. M., Casey, B. C. K., Cauz, D., Chakraborty, R., Chang, S. P., Chapelain, A., Charity, S., Chislett, R., Choi, J., Chu, Z., Chupp, T. E., Corrodi, S., Cotrozzi, L., Crnkovic, J. D., Dabagov, S., Debevec, P. T., Di Falco, S., Di Meo, P., Di Sciascio, G., Di Stefano, R., Driutti, A., Duginov, V. N., Eads, M., Esquivel, J., Farooq, M., Fatemi, R., Ferrari, C., Fertl, M., Fiedler, A., Fienberg, A. T., Fioretti, A., Flay, D., Frlez, E., Froemming, N. S., Fry, J., Gabbanini, C., Galati, M. D., Ganguly, S., Garcia, A., George, J., Gibbons, L. K., Gioiosa, A., Giovanetti, K. L., Girotti, P., Gohn, W., Gorringe, T., Grange, J., Grant, S., Gray, F., Haciomeroglu, S., Halewood-Leagas, T., Hampai, D., Han, F., Hempstead, J., Herrod, A. T., Hertzog, D. W., Hesketh, G., Hibbert, A., Hodge, Z., Holzbauer, J. L., Hong, K. W., Hong, R., Iacovacci, M., Incagli, M., Kammel, P., Kargiantoulakis, M., Karuza, M., Kaspar, J., Kawall, D., Kelton, L., Keshavarzi, A., Kessler, D., Khaw, K. S., Khechadoorian, Z., Khomutov, N. V., Kiburg, B., Kiburg, M., Kim, O., Kim, Y. I., King, B., Kinnaird, N., Korostelev, M., Kraegeloh, E., Kuchinskiy, N. A., Labe, K. R., Labounty, J., Lancaster, M., Lee, M. J., Lee, S., Li, B., Li, D., Li, L., Logashenko, I., Lorente Campos, A., Luca, A., Lukicov, G., Lusiani, A., Lyon, A. L., Maccoy, B., Madrak, R., Makino, K., Marignetti, F., Mastroianni, S., Miller, J. P., Miozzi, S., Morse, W. M., Mott, J., Nath, A., Newton, D., Nguyen, H., Osofsky, R., Park, S., Pauletta, G., Piacentino, G. M., Pilato, R. N., Pitts, K. T., Plaster, B., Pocanic, D., Pohlman, N., Polly, C. C., Price, J., Quinn, B., Raha, N., Ramachandran, S., Ramberg, E., Ritchie, J. L., Roberts, B. L., Rubin, D. L., Santi, L., Sathyan, D., Schlesier, C., Schreckenberger, A., Semertzidis, Y. K., Smith, M. W., Sorbara, M., Stockinger, D., Stapleton, J., Stoughton, C., Stratakis, D., Stuttard, T., Swanson, H. E., Sweetmore, G., Sweigart, D. A., Syphers, M. J., Tarazona, D. A., Teubner, T., Tewsley-Booth, A. E., Thomson, K., Tishchenko, V., Tran, N. H., Turner, W., Valetov, E., Vasilkova, D., Venanzoni, G., Walton, T., Weisskopf, A., Welty-Rieger, L., Winter, P., Wolski, A., and Wu, W.

Subjects
Larmor precession, Physics, Accelerator Physics (physics.acc-ph), Nuclear and High Energy Physics, Muon, Physics and Astronomy (miscellaneous), Anomalous magnetic dipole moment, 010308 nuclear & particles physics, FOS: Physical sciences, Surfaces and Interfaces, 01 natural sciences, High Energy Physics - Experiment, Magnetic field, Nuclear physics, High Energy Physics - Experiment (hep-ex), muon magnetic anomaly, 0103 physical sciences, Physics - Accelerator Physics, Fermilab, Pitch angle, 010306 general physics, G-2 EXPERIMENTFREQUENCY, Storage ring, Beam (structure)
Abstract

This paper presents the beam dynamics systematic corrections and their uncertainties for the Run-1 data set of the Fermilab Muon g-2 Experiment. Two corrections to the measured muon precession frequency $\omega_a^m$ 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 $\omega_a^m$ is 0.50 $\pm$ 0.09 ppm; the uncertainty is small compared to the 0.43 ppm statistical precision of $\omega_a^m$., Comment: 35 pages, 29 figures. Accepted by Phys. Rev. Accel. Beams

Published
2021
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4. The laser-based gain monitoring system of the calorimeters in the Muon g −2 experiment at Fermilab

Author

S.B. Dabagov, A. Chapelain, S. Di Falco, G. Di Sciascio, M. Incagli, A. Boiano, A. Lusiani, D. Cauz, Dariush Hampai, L. K. Gibbons, J.B. Hempstead, G. M. Piacentino, A. Fioretti, A. Anastasi, E. Bottalico, N. Raha, D. W. Hertzog, G. Venanzoni, A.T. Fienberg, R. Di Stefano, Fabrizio Marignetti, C. Gabbanini, Claudio Ferrari, A. Nath, F. Bedeschi, G. Pauletta, K. S. Khaw, S. Mastroianni, G. Corradi, M. Iacovacci, M. W. Smith, Marin Karuza, A. Gioiosa, S. Donati, S. Miozzi, A. Basti, A. Driutti, M. Sorbara, P. Girotti, D.A. Sweigart, Giovanni Cantatore, P. Di Meo, L. Santi, J. Kaspar, Anastasi, A., Basti, A., Bedeschi, F., Boiano, A., Bottalico, E., Cantatore, G., Cauz, D., Chapelain, A. T., Corradi, G., Dabagov, S., Falco, S. D., Meo, P. D., Sciascio, G. D., Stefano, R. D., Donati, S., Driutti, A., Ferrari, C., Fienberg, A. T., Fioretti, A., Gabbanini, C., Gibbons, L. K., Gioiosa, A., Girotti, P., Hampai, D., Hempstead, J. B., Hertzog, D. W., Iacovacci, M., Incagli, M., Karuza, M., Kaspar, J., Khaw, K. S., Lusiani, A., Marignetti, F., Mastroianni, S., Miozzi, S., Nath, A., Pauletta, G., Piacentino, G. M., Raha, N., Santi, L., Smith, M., Sorbara, M., Sweigart, D. A., Venanzoni, G., Falco, S. Di, Meo, P. Di, Sciascio, G. Di, and Stefano, R. Di

Subjects
sources, Physics - Instrumentation and Detectors, Physics::Instrumentation and Detectors, Detector alignment and calibration methods (lasers, sources, particle-beams), FOS: Physical sciences, 01 natural sciences, 030218 nuclear medicine & medical imaging, law.invention, High Energy Physics - Experiment, Nuclear physics, 03 medical and health sciences, Calorimeters, High Energy Physics - Experiment (hep-ex), 0302 clinical medicine, law, 0103 physical sciences, Calibration, Fermilab, Instrumentation, Mathematical Physics, Physics, Calorimeter, Muon, 010308 nuclear & particles physics, Anomaly (natural sciences), Monitoring system, particle-beams), Instrumentation and Detectors (physics.ins-det), Laser, muon g-2, 3. Good health, Detector alignment and calibration methods (lasers, High Energy Physics::Experiment, Order of magnitude
Abstract

The Muon $g-2$ experiment, E989, is currently taking data at Fermilab with the aim of reducing the experimental error on the muon anomaly by a factor of four and possibly clarifying the current discrepancy with the theoretical prediction. A central component of this four-fold improvement in precision is the laser calibration system of the calorimeters, which has to monitor the gain variations of the photo-sensors with a 0.04\% precision on the short-term ($\sim 1\,$ms). This is about one order of magnitude better than what has ever been achieved for the calibration of a particle physics calorimeter. The system is designed to monitor also long-term gain variations, mostly due to temperature effects, with a precision below the per mille level. This article reviews the design, the implementation and the performance of the Muon $g-2$ laser calibration system, showing how the experimental requirements have been met., 33 pages,24 figures. Matches the published version

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