A new approach for measuring the muon anomalous magnetic moment and electric dipole moment

Abe, Mitsushi; Bae, S.; Beer, G. A.; Bunce, G.; Choi, Hayon Michelle; Choi, S.; Chung, М.; Silva, W da; Eidelman, S.; Finger, M.; Fukao, Y.; Fukuyama, Takeshi; Hacıömeroğlu, Selçuk; Hasegawa, K.; Hayasaka, K.; Hayashizaki, Noriyosu; Hisamatsu, Hiromi; Iijima, T.; Iinuma, H.; Ikeda, Hirokazu; Ikeno, M.; Inami, K.; Ishida, K.; Itahashi, T.; Iwasaki, M.; Iwashita, Yoshihisa; Iwata, Y.; Kadono, R.; Kamal, Saeid; Kamitani, T.; Kanda, S.; Kapusta, F.; Kawagoe, K.; Kawamura, N.; Kim, B; Kim, Y; Kishishita, Tetsuichi; Kitamura, R.; Ko, H. S.; Kohriki, T.; Kondo, Yasuhiro; Kume, Tatsuya; Lee, M J; Lee, S; Lee, W; Marshall, G. M.; Matsuda, Y.; Mibe, T.; Miyake, Yasuhiro; Murakami, Terutoshi; Nagamine, K.; Nakayama, H.; Nishimura, S.; Nomura, Daisuke; Ogitsu, T.; Ohsawa, S.; Oide, K.; Oishi, Yuji; Okada, S.; Olin, Å.; Omarov, Zhanibek; Otani, M.; Razuvaev, G.P.; Rehman, A.; Saito, N.; Saito, Norihito; Sasaki, Κ.; Sasaki, O.; Sato, Nobuaki; Sato, Y.; Semertzidis, Yannis K.; Sendai, Hiroshi; Shatunov, Y.-U. M.; Shimomura, K.; Shoji, M.; Shwartz, B.; Strasser, P.; Sue, Y.; Suehara, Taikan; Sung, Cheng-Kuo; Suzuki, K.; Takatomi, T.; Tanaka, M.; Tojo, J.; Tsutsumi, Yasushi; Uchida, Tomohisa; Ueno, Katsunori; Wada, Satoshi; Won, E.; Yamaguchi, H.; Yamanaka, T.; Yamamoto, A.; Yamazaki, T.; Yasuda, Hiromasa; Yoshida, Makoto; Yoshioka, Tamaki

doi:10.1093/ptep/ptz030

Cited by 207 publications

(164 citation statements)

References 37 publications

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“…The diagrams R and R d do not contribute in the definition of the isospin symmetric point given in Eq. (5). The weighting kernel in Eq.…”

Section: A General Setupmentioning

confidence: 99%

“…Within this year, we expect the Fermilab g − 2 experiment [4] to release first results towards their target to reduce the uncertainties of the BNL experiment by a factor of 4. In the near future, we also look forward to results from the methodologically independent experimental program at J-PARC [5]. These results are highly anticipated and are accompanied by a concerted effort of the theory community to improve upon and scrutinize the existing standard model results, most importantly for the hadronic vacuum polarization (HVP) [1, and hadronic light-by-light (HLbL) [31,32] contributions, which currently limit the precision of the theory result.…”

Section: Introductionmentioning

confidence: 98%

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Consistency of hadronic vacuum polarization between lattice QCD and the R ratio

2020

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There are emerging tensions for theory results of the hadronic vacuum polarization contribution to the muon anomalous magnetic moment both within recent lattice QCD calculations and between some lattice QCD calculations and R-ratio results. In this paper we work towards scrutinizing critical aspects of these calculations. We focus in particular on a precise calculation of Euclidean position-space windows defined by RBC/UKQCD that are ideal quantities for cross-checks within the lattice community and with R-ratio results. We perform a lattice QCD calculation using physical up, down, strange, and charm sea quark gauge ensembles generated in the staggered formalism by the MILC collaboration. We study the continuum limit using inverse lattice spacings from a −1 ≈ 1.6 GeV to 3.5 GeV, identical to recent studies by FNAL/HPQCD/MILC and Aubin et al. and similar to the recent study of BMW. Our calculation exhibits a tension for the particularly interesting window result of a ud,conn.,isospin,W µ from 0.4 fm to 1.0 fm with previous results obtained with a different discretization of the vector current on the same gauge configurations. Our results may indicate a difficulty related to estimating uncertainties of the continuum extrapolation that deserves further attention. In this work we also provide results for a ud,conn.,isospin µ , a s,conn.,isospin µ , a SIB,conn. µ for the total contribution and a large set of windows. For the total contribution, we find a HVP LO µ = 714(27)(13)10 −10 , a ud,conn.,isospin µ = 657(26)(12)10 −10 , a s,conn.,isospin µ = 52.83(22)(65)10 −10 , and a SIB,conn. µ = 9.0(0.8)(1.2)10 −10 , where the first uncertainty is statistical and the second systematic. We also comment on finite-volume corrections for the strong-isospin-breaking corrections.

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“…The diagrams R and R d do not contribute in the definition of the isospin symmetric point given in Eq. (5). The weighting kernel in Eq.…”

Section: A General Setupmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 98%

Consistency of hadronic vacuum polarization between lattice QCD and the R ratio

2020

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“…showing a tantalizing 3.9σ discrepancy with respect to the measurement (1). This has motivated two further experiments: one at FNAL, and aiming to achieve an error around 16 · 10 −11 [18], and a second one at J-PARC, aiming for an error around 50 · 10 −11 [19]. The amazing precision of the theoretical determination in Eq.…”

Section: Introductionmentioning

confidence: 98%

“…As we advanced, one advantage of the Lagrangian formalism is that there is no ambiguity in the resonance propagator. In our case, we choose to represent the spin-one resonances by antisymmetric tensor fields, so the corresponding propagators can be read from eq (19)…”

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confidence: 99%

Axial-vector exchange contribution to the hadronic light-by-light piece of the muon anomalous magnetic moment

2020

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In this work we study the axial contributions to the hadronic light-by-light piece of the muon anomalous magnetic moment using the framework of resonance chiral theory. As a result, we obtain a HLbL;A µ = 0.8 +3.5 −0.8 · 10 −11 , that might suggest a smaller value than most recent calculations, underlining the need of future work along this direction. In particular, we find that our results depend critically on the asymptotic behavior of the form factors, and as such, emphasizes the relevance of future experiments for large photon virtualities. In addition, we present general results regarding the involved axial form factors description, comprehensively examining (and relating) the current approaches, that shall be of general interest. 1 arXiv:1910.02881v2 [hep-ph] 9 Dec 2019 1.2 Axial-vector contributions to the muon anomalous magnetic moment Although the Landau-Yang theorem [64,65] forbids the annihilation of a spin-one particle into a pair of real photons, axial-vector exchange contributions to the HLbL piece of a µ are still possible, since at least one photon is off-shell in both axial-γ * -γ * vertices in such a contribution. Still, the Landau-Yang theorem imposes non-trivial requirements on the symmetry structure of the involved form factors, as we will see.Early estimates of the corresponding contributions were carried out both in the extended Nambu-Jona-Lasino model by Bijnens, and by Hayakawa, Kinoshita and Sanda using Hidden Local Symmetry Lagrangians [38,39]. The first group obtained a HLbL;A µ = (2.5 ± 1.0) · 10 −11 , which includes the ballpark value 1.7 · 10 −11 , given by the second group. Melnikov and Vainshtein [45] derived operator product expansion (OPE) constraints on the hadronic light-by-light (HLbL) tensor and built a model where these were saturated by dropping 2 This arises from a SM µ = 1.16591783(35) [15], a SM µ = 1.16591820.4(35.6) [16], a SM µ = 1.16591830(48) [15]. 3 Remarkable progress in the evaluation of the HLbL part of aµ on the lattice has been achieved recently [60-62], as well (see Ref.[63] for a review on this topic).

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“…New muonic forces can also be probed as in Refs. [70][71][72][73][74][75]. For a detailed analysis see Appendix C.…”

Section: Discussion and Outlookmentioning

confidence: 99%

Discovering true muonium at LHCb

et al. 2019

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We study the potential of the LHCb experiment to discover, for the first time, the µ + µ − true muonium bound state. We propose a search for the vector 1 3 S1 state, TM, which kinetically mixes with the photon and dominantly decays to e + e − . We demonstrate that a search for η → γTM, TM → e + e − in a displaced vertex can exceed a significance of 5 standard deviations assuming statistical uncertainties. We present two possible searches: an inclusive search for the e + e − vertex, and an exclusive search which requires an additional photon and a reconstruction of the η mass.

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A new approach for measuring the muon anomalous magnetic moment and electric dipole moment

Cited by 207 publications

References 37 publications

Consistency of hadronic vacuum polarization between lattice QCD and the R ratio

Consistency of hadronic vacuum polarization between lattice QCD and the R ratio

Axial-vector exchange contribution to the hadronic light-by-light piece of the muon anomalous magnetic moment

Discovering true muonium at LHCb

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