High-statistics study of the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msup><mml:mi>τ</mml:mi><mml:mo>−</mml:mo></mml:msup><mml:mo>→</mml:mo><mml:msup><mml:mi>π</mml:mi><mml:mo>−</mml:mo></mml:msup><mml:msup><mml:mi>π</mml:mi><mml:mn>0</mml:mn></mml:msup><mml:msub><mml:mi>ν</mml:mi><mml:mi>τ</mml:mi></mml:msub></mml:math>decay

Fujikawa, M.; Hayashii, H.; Eidelman, S.; Adachi, I.; Aihara, H.; Arinstein, K.; Aulchenko, V.; Aushev, T.; Bakich, A. M.; Balagura, V.; Barberio, E. L.; Bay, A.; Bedny, I.; Belous, K.; Bhardwaj, V.; Bitenc, U.; Bondar, A.; Bračko, M.; Brodzicka, J.; Browder, T. E.; Chang, P.; Chào, Y.; Chen, A.; Cheon, B. G.; Chistov, R.; Cho, I. S.; Choi, Y.; Dalseno, J.; Dash, M.; Epifanov, D.; Gabyshev, N.; Golob, B.; Ha, H.; Haba, J.; Hara, K.; Hasegawa, Y.; Hayasaka, K.; Hazumi, M.; Heffernan, D.; Hoshi, Y.; Hou, W.-S.; Hyun, H. J.; Iijima, T.; Inami, K.; Ishikawa, A.; Ishino, H.; Itoh, R.; Iwabuchi, M.; Iwasaki, M.; Kah, D. H.; Kaji, Hiroshi; Kataoka, S. U.; Kawasaki, T.; Kichimi, H.; Kim, H. O.; Kim, S. K.; Kim, Y. I.; Kim, Y. J.; Korpar, S.; Križan, P.; Krokovny, P.; Kumar, R.; Kuzmin, A.; Kwon, Y.; Kyeong, S. H.; Lange, J. S.; Lee, M. J.; Lee, S. E.; Limosani, A.; Liu, C.; Liu, Y.; Liventsev, D.; MacNaughton, J.; Mandl, F.; Matyja, A.; McOnie, S.; Miyabayashi, K.; Miyata, H.; Miyazaki, Y.; Mizuk, R.; Moloney, G. R.; Mori, Takashi; Nagasaka, Y.; Nakano, E.; Nakao, M.; Nakazawa, H.; Natkaniec, Z.; Nishida, S.; Nitoh, O.; Noguchi, S.; Nozaki, T.; Ohshima, T.; Okuno, S.; Olsen, S. L.; Ozaki, H.; Pakhlov, P.; Pakhlova, G.; Pałka, H.; Park, C. W.; Park, H.; Peak, L. S.; Pestotnik, R.; Piilonen, L. E.; Poluektov, A.; Sahoo, H.; Sakai, Y.; Schneider, O.; Schwartz, A. J.; Seidl, R.; Sekiya, A.; Senyo, K.; Sevior, M. E.; Shapkin, M.; Shebalin, V.; Shen, C. P.; Shiu, J. G.; Shwartz, B.; Singh, J. B.; Sokolov, A.; Stanič, S.; Starič, M.; Sumiyoshi, T.; Takasaki, F.; Tamura, N.; Tanaka, M.; Taylor, G. N.; Teramoto, Y.; Trabelsi, K.; Tsuboyama, T.; Uehara, S.; Uglov, T.; Unno, Y.; Uno, S.; Urquijo, P.; Usov, Y.; Varner, G.; Vervink, K.; Vinokurova, A.; Wang, C. H.; Wang, P.; Wang, X. L.; Watanabe, Y.; Won, E.; Yamashita, Y.; Yamauchi, M.; Yuan, C. Z.; Zhang, C. C.; Zhang, Z. P.; Zhilich, V.; Zhulanov, V.; Živko, T.; Zupanc, A.; Zyukova, O.

doi:10.1103/physrevd.78.072006

Cited by 175 publications

(70 citation statements)

References 58 publications

Supporting

Mentioning

Contrasting

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“…This is achieved in Figs. 55, for the ALEPH [44], CLEO [45], and Belle [46] experiments, in a manner similar to the e þ e À comparisons. Here there is another uncertainty resulting from the IB theoretical corrections, corresponding roughly to a scale uncertainty of 0.3%.…”

Section: Spectral Functionssupporting

confidence: 61%

Precise measurement of the e ⁺ e ⁻ → π ⁺ π ⁻ (γ) cross section with the initial state radiation method at BABAR

Wang¹

2010

Chinese Phys. C

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We present a precise BABAR measurement on the cross section of the process e+e− → π+π− (γ) from threshold to an energy of 3 GeV with the initial state radiation (ISR) technique, using 232 fb−1 of data collected with the BABAR detector at e+e− center-of-mass energies near 10.58 GeV. The ISR luminosity is determined from a study of the leptonic process e+e− → μ+μ−γ(γ). The leading-order hadronic contribution to the muon magnetic anomaly calculated using the ππ cross section measured from threshold to 1.8 GeV is (514.1 ± 2.2(stat) ±3.1(syst)) × 10−10.

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Section: Spectral Functionssupporting

confidence: 61%

Precise measurement of the e ⁺ e ⁻ → π ⁺ π ⁻ (γ) cross section with the initial state radiation method at BABAR

Wang¹

2010

Chinese Phys. C

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“…The pion form factor is known to excellent precision well beyond that energy (see Refs. [26][27][28] for just the most recent experimental results), indicating in particular contributions from the excited resonances 0 ð1450Þ and 00 ð1700Þ. To incorporate these higher resonance states we use the phenomenological form factor suggested in Ref.…”

Section: A Pion Vector Form Factormentioning

confidence: 99%

ω→π0γandϕ→π0γtransition form factors in dispersion

Schneider¹,

Kubis²,

Niecknig³

2012

Phys. Rev. D

127

168

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We calculate the ! ! 0 Ã and ! 0 Ã electromagnetic transition form factors based on dispersion theory, relying solely on a previous dispersive analysis of the corresponding three-pion decays and the pion vector form factor. We compare our findings to recent measurements of the ! ! 0 þ À decay spectrum by the NA60 collaboration, and strongly encourage experimental investigation of the OkuboZweig-Iizuka forbidden ! 0 ' þ ' À decays in order to understand the strong deviations from vectormeson dominance found in these transition form factors.

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“…(287) corresponds to the constraint equations, written as a set of "constraint expressions" that are equated to zero. Using the method of Lagrange multipliers, a set of equations is obtained by taking the derivatives with respect to the fitted quantities q k and the Lagrange multipliers λ r of the sum of the χ 2 and the constraint expres- 0.17325 ± 0.00095 ± 0.00077 DELPHI [1345] 0.17342 ± 0.00110 ± 0.00067 L3 [1346] 0.17340 ± 0.00090 ± 0.00060 OPAL [1347] 0.17760 ± 0.00060 ± 0.00170 CLEO [1350] 0.17877 ± 0.00109 ± 0.00110 DELPHI [1345] 0.17806 ± 0.00104 ± 0.00076 L3 [1346] 0.17810 ± 0.00090 ± 0.00060 OPAL [1351] 7 = h − ≥ 0K 0 L ν τ 0.12023 ± 0.00054 HFLAV Spring 2017 fit 0.12400 ± 0.00700 ± 0.00700 DELPHI [1352] 0.12470 ± 0.00260 ± 0.00430 L3 [1353] 0.12100 ± 0.00700 ± 0.00500 OPAL [1354] 8 = h − ν τ 0.11506 ± 0.00054 HFLAV Spring 2017 fit 0.11524 ± 0.00105 ± 0.00000 ALEPH [1344] 0.11520 ± 0.00050 ± 0.00120 CLEO [1350] 0.11571 ± 0.00120 ± 0.00114 DELPHI [1355] 0.11980 ± 0.00130 ± 0.00160 OPAL [1356] 0.25670 ± 0.00010 ± 0.00390 Belle [1361] 0.25870 ± 0.00120 ± 0.00420 CLEO [1362] 0.25740 ± 0.00201 ± 0.00138 DELPHI [1355] sions multiplied by the Lagrange multipliers λ r , one for each constraint: …”

Section: Technical Implementation Of the Fit Proceduresmentioning

confidence: 99%

Averages of b-hadron, c-hadron, and $$\tau $$ τ -lepton properties as of summer 2016

et al. 2017

Self Cite

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This paper reports world averages of measurements of b-hadron, c-hadron, and τ -lepton properties obtained by the Heavy Flavour Averaging Group using results available before April 2021. In rare cases, significant results obtained several months later are also used. For the averaging, common input parameters used in the various analyses are adjusted (rescaled) to common values, and known correlations are taken into account. The averages include branching fractions, lifetimes, neutral meson mixing parameters, CP violation parameters, parameters of semileptonic decays, and Cabibbo-Kobayashi-Maskawa matrix elements. Selected world averages -continued from previous page. ∆Γ d /Γ d 0.001 ± 0.010 |q d /p d | 1.0010 ± 0.0008 ∆m s 17.765 ± 0.006 ps −1 ∆Γ s +0.084 ± 0.005 ps −1 |q s /p s | 1.0003 ± 0.0014 φ ccs s −0.049 ± 0.019 rad Unitarity-Triangle angle parameters sin2β ≡ sin2φ 1 0.699 ± 0.017 β ≡ φ 1 (22.2 ± 0.7) • −ηS φK 0 S 0.74 +0.11 −0.13 −ηS η K 0 0.63 ± 0.06 −ηS K 0 S K 0 S K 0 S 0.83 ± 0.17 φ s (φφ) −0.073 ± 0.115 ± 0.027 rad S B 0 s →K + K − , C B 0 s →K + K − (0.14 ± 0.03, 0.17 ± 0.03) −ηS J/ψ π 0 0.86 ± 0.14 −ηS D + D − 0.84 ± 0.12 −ηS J/ψ ρ 0 0.66 +0.13 −0.12 +0.09 −0.03(0.343 ± 0.002)% τ parameters, lepton universality, and |V us | g τ /g µ 1.0009 ± 0.0014 g τ /g e 1.0027 ± 0.0014 g µ /g e 1.0019 ± 0.0014* )0 s B ( * )0 s ) = (87.0 ± 1.7)% [34] measured as described in Ref. [35]. The proportions of the various production channels for non-strange B mesons have also been measured [22]. 4.3 b-hadron production fractions at high energy At high energy, all species of weakly decaying b hadrons may be produced, either directly or in strong and electromagnetic decays of excited b hadrons. Before 2010, it was assumed that the fractions of different species in unbiased samples of high-p T b-hadron jets where independent of whether they originated from Z decays, pp collisions at the Tevatron, or pp collisions at the LHC. This hypothesis was plausible under the condition Q 2 Λ 2 QCD , namely, that the square of the momentum transfer to the produced b quarks is large compared with the square of the hadronization energy scale. This hypothesis is correct in the limit p T → ∞, in which the production mechanism of a b hadron is completely described by the fragmentation of the b quark. For finite p T , however, there are interference effects of the production mechanism of the b quark and its hadronization. While formally suppressed by inverse powers of p T , these effects may be sizable, especially when the fragmentation probabilities are small as, e.g., in the case of b baryons. In fact, the available data show that the fractions depend on the kinematics of the produced b hadron. Both CDF and LHCb reported a p T dependence of the fractions, with the fraction of Λ 0 b baryons observed at low p T being enhanced with respect to that seen at LEP at higher p T . In our previous publication [1], we presented two sets of averages, one including only measurements performed at LEP, and another including only measurements performed ...

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High-statistics study of theτ−→π−π0ντdecay

Cited by 175 publications

References 58 publications

Precise measurement of the e ⁺ e ⁻ → π ⁺ π ⁻ (γ) cross section with the initial state radiation method at BABAR

Precise measurement of the e ⁺ e ⁻ → π ⁺ π ⁻ (γ) cross section with the initial state radiation method at BABAR

ω→π0γandϕ→π0γtransition form factors in dispersion

Averages of b-hadron, c-hadron, and $$\tau $$ τ -lepton properties as of summer 2016

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High-statistics study of theτ−→π−π0ντdecay

Cited by 175 publications

References 58 publications

Precise measurement of the e + e − → π + π − (γ) cross section with the initial state radiation method at BABAR

Precise measurement of the e + e − → π + π − (γ) cross section with the initial state radiation method at BABAR

ω→π0γ*andϕ→π0γ*transition form factors in dispersion

Averages of b-hadron, c-hadron, and $$\tau $$ τ -lepton properties as of summer 2016

Contact Info

Product

Resources

About

Precise measurement of the e ⁺ e ⁻ → π ⁺ π ⁻ (γ) cross section with the initial state radiation method at BABAR

Precise measurement of the e ⁺ e ⁻ → π ⁺ π ⁻ (γ) cross section with the initial state radiation method at BABAR

ω→π0γandϕ→π0γtransition form factors in dispersion