The dipion mass spectrum in e+e- annihilation and τ decay:: a dynamical (ρ, ω, φ) mixing approach

被引:66
作者
Benayoun, M. [1 ]
David, P. [1 ]
DelBuono, L. [1 ]
Leitner, O. [1 ,2 ]
O'Connell, H. B. [3 ]
机构
[1] CNRS, IN2P3, LPNHE Paris VI VII, 4 Pl Jussieu,Tour 33 RdC, F-75252 Paris 05, France
[2] Ist Nazl Fis Nucl, Lab Nazl Frascati, I-00044 Frascati, Italy
[3] Fermilab Natl Accelerator Lab, Batavia, IL 60510 USA
来源
EUROPEAN PHYSICAL JOURNAL C | 2008年 / 55卷 / 02期
关键词
D O I
10.1140/epjc/s10052-008-0586-6
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
We readdress the problem of finding a simultaneous description of the pion form factor data in e(+)e(-) annihilations and in tau decays. For this purpose, we work in the framework of the hidden local symmetry Lagrangian and modify the vector meson mass term by including the pion and kaon loop contributions. This leads us to define the physical rho, omega and phi fields as linear combinations of their ideal partners, with coefficients being meromorphic functions of s, the square of the four-momentum flowing into the vector meson lines. This allows us to define a dynamical, i.e. s-dependent, vector meson mixing scheme. The model is overconstrained by extending the framework in order to include the description of all meson radiative (VP gamma and P gamma gamma couplings) and leptonic (Ve(+)e(-) couplings) decays and also the isospin breaking (omega/phi -> pi(+)pi(-)) decay modes. The model provides a simultaneous, consistent and good description of the e(+)e(-) and tau dipion spectra. The expression for the pion form factor in the latter case is derived from those in the former case by switching off the isospin breaking effects specific to e(+)e(-) and switching on those for tau decays. Besides, the model also provides a good account of all decay modes of the form VP gamma and P gamma gamma as well as the isospin breaking decay modes. It leads us to propose new reference values for the rho(0) -> e(+)e(-) and omega -> pi(+)pi(-) partial widths, which are part of our description of the pion form factor. Other topics (phi -> k (k) over bar, the rho meson mass and width parameters) are briefly discussed. As the e(+)e(-) data are found to be perfectly consistent with tau data up to identified isospin breaking effects, one finds no reason to cast any doubt on them and, therefore, on the theoretical estimate of the muon anomalous moment a(mu) derived from them. Therefore, our work turns out to confirm the relevance of the reported 3.3 sigma discrepancy between this theoretical estimate of a(mu) and its direct BNL measurement.
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页码:199 / 236
页数:38
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共 101 条
  • [1] Measurement of the decay distribution of eta'->pi(+)pi(-)gamma and evidence for the box anomaly
    Abele, A
    Adomeit, J
    Amsler, C
    Baker, CA
    Barnett, BM
    Batty, CJ
    Benayoun, M
    Berdoz, A
    Beuchert, K
    Bischoff, S
    Blum, P
    Braune, K
    Brose, J
    Bugg, DV
    Case, T
    Cooper, A
    Cramer, O
    Crowe, KM
    Degener, T
    Djaoshvili, N
    vonDombrowski, S
    Doser, M
    Dunnweber, W
    Engelhardt, D
    Faessler, MA
    Giarritta, P
    Hackmann, R
    Haddock, RP
    Heinsius, FH
    Heinzelmann, M
    Herz, M
    Hessey, NP
    Hidas, P
    Hodd, C
    Holtzhaussen, C
    Jamnik, D
    Kalinowsky, H
    Kalteyer, B
    Kammle, B
    Kammel, P
    Kiel, T
    Kisiel, J
    Klempt, E
    Koch, H
    Kolo, C
    Kunze, M
    Lakata, M
    Landua, R
    Ludemann, J
    Matthay, H
    [J]. PHYSICS LETTERS B, 1997, 402 (1-2) : 195 - 206
  • [2] Measurement of the omega->eta gamma decay branching ratio
    Abele, A
    Adomeit, J
    Amsler, C
    Baker, CA
    Barnett, BM
    Batty, CJ
    Benayoun, M
    Berdoz, A
    Beuchert, K
    Bischoff, S
    Blum, P
    Braune, K
    Bugg, DV
    Case, T
    Cooper, A
    Cramer, O
    Crowe, KM
    Crede, V
    Degener, T
    Djaoshvili, N
    VonDombrowski, S
    Doser, M
    Dunnweber, W
    Ehmanns, A
    Engelhardt, D
    Faessler, MA
    Giarritta, P
    Hackmann, R
    Haddock, RP
    Heinsius, FH
    Heinzelmann, M
    Herz, M
    Hessey, NP
    Hidas, P
    Hodd, C
    Holtzhaussen, C
    Jamnik, D
    Kalinowsky, H
    Kalteyer, B
    Kammle, B
    Kammel, P
    Kisiel, J
    Klempt, E
    Koch, H
    Kolo, C
    Kurilla, U
    Kunze, M
    Lakata, M
    Landua, R
    Ludemann, J
    [J]. PHYSICS LETTERS B, 1997, 411 (3-4) : 361 - 372
  • [3] The ρ-mass, width and line shape in (p)over-barp annihilation at rest into π+π-π0
    Abele, A
    Adomeit, J
    Amsler, C
    Anisovich, AV
    Baker, CA
    Barnett, BM
    Batty, CJ
    Berdoz, A
    Bischoff, S
    Blüm, P
    Braune, K
    Bugg, DV
    Case, T
    Cramer, O
    Credé, V
    Crowe, KM
    Degener, T
    Doser, M
    Dünnweber, W
    Ehmanns, A
    Engelhardt, D
    Faessler, MA
    Giarritta, P
    Haddock, RP
    Heinsius, FH
    Heinzelmann, M
    Herbstrith, A
    Herz, M
    Hessey, NP
    Hidas, P
    Hodd, C
    Holtzhaussen, C
    Jamnik, D
    Kalinowsky, H
    Kammel, P
    Kisiel, J
    Klempt, E
    Koch, H
    Kunze, M
    Kurilla, U
    Lakata, M
    Landua, R
    Matthäy, H
    McCrady, R
    Meier, J
    Meyer, CA
    Ouared, R
    Peters, K
    Pick, B
    Ratajczak, M
    [J]. PHYSICS LETTERS B, 1999, 469 (1-4) : 270 - 275
  • [4] Update of the e+e- → π+π- Cross section measured by the spherical neutral detector in the energy region 400 < √s < 1000 MeV
    Achasov, M. N.
    Beloborodov, K. I.
    Berdyugin, A. V.
    Bogdanchikov, A. G.
    Bozhenok, A. V.
    Bukin, A. D.
    Bukin, D. A.
    Dimova, T. V.
    Druzhinin, V. P.
    Golubev, V. B.
    Korol, A. A.
    Koshuba, S. V.
    Pakhtusova, E. V.
    Serednyakov, S. I.
    Shatunov, Yu M.
    Sidorov, V. A.
    Silagadze, Z. K.
    Skrinsky, A. N.
    Tikhonov, Yu A.
    vasiljev, A. V.
    [J]. JOURNAL OF EXPERIMENTAL AND THEORETICAL PHYSICS, 2006, 103 (03) : 380 - 384
  • [5] Decay φ→π+ π-
    Achasov, MN
    Beloborodov, KI
    Berdyugin, AV
    Bozhenok, AV
    Bukin, AD
    Bukin, DA
    Burdin, SV
    Dimova, TV
    Druzhinin, VP
    Dubrovin, MS
    Ganyushin, DI
    Gaponenko, IA
    Golubev, VB
    Ivanchenko, VN
    Ivanov, PM
    Korol, AA
    Koshuba, SV
    Pakhtusova, EV
    Perevedentsev, EA
    Salnikov, AA
    Serednyakov, SI
    Shary, VV
    Shatunov, YM
    Sidorov, VA
    Silagadze, ZK
    Valishev, AA
    Vasiljev, AV
    [J]. PHYSICS LETTERS B, 2000, 474 (1-2) : 188 - 193
  • [6] Study of the π π mass spectra in the process e+ e-→π+ π- π0 at √s≃1020 Mev -: art. no. 032002
    Achasov, MN
    Aulchenko, VM
    Beloborodov, KI
    Berdyugin, AV
    Bogdanchikov, AG
    Bozhenok, AV
    Bukin, AD
    Bukin, DA
    Burdin, SV
    Dimova, TV
    Druzhinin, VP
    Golubev, VB
    Ivanchenko, VN
    Ivanov, PM
    Korol, AA
    Korostelev, MS
    Koshuba, SV
    Otboev, AV
    Pakhtusova, EV
    Perevedentsev, EA
    Salnikov, AA
    Serednyakov, SI
    Shary, VV
    Shatunov, YM
    Sidorov, VA
    Silagadze, ZK
    Vasiljev, AV
    Velikzhanin, YS
    [J]. PHYSICAL REVIEW D, 2002, 65 (03):
  • [7] Measurement of the strong coupling constant αs and the vector and axial-vector spectral functions in hadronic tau decays
    Ackerstaff, K
    Alexander, G
    Allison, J
    Altekamp, N
    Anderson, KJ
    Anderson, S
    Arcelli, S
    Asai, S
    Ashby, SF
    Axen, D
    Azuelos, G
    Ball, AH
    Barberio, E
    Barlow, RJ
    Bartoldus, R
    Batley, JR
    Baumann, S
    Bechtluft, J
    Behnke, T
    Bell, KW
    Bella, G
    Bentvelsen, S
    Bethke, S
    Betts, S
    Biebel, O
    Biguzzi, A
    Bird, SD
    Blobel, V
    Bloodworth, IJ
    Bobinski, M
    Bock, P
    Böhme, J
    Boutemeur, M
    Braibant, S
    Bright-Thomas, P
    Brown, RM
    Burckhart, HJ
    Burgard, C
    Bürgin, R
    Capiluppi, P
    Carnegie, RK
    Carter, AA
    Carter, JR
    Chang, CY
    Charlton, DG
    Chrisman, D
    Ciocca, C
    Clarke, PEL
    Clay, E
    Cohen, I
    [J]. EUROPEAN PHYSICAL JOURNAL C, 1999, 7 (04): : 571 - 593
  • [8] High-statistics measurement of the pion form factor in the ρ-meson energy range with the CMD-2 detector
    Akhmetshin, R. R.
    Aulchenko, V. M.
    Banzarov, V. Sh.
    Barkov, L. M.
    Bashtovoy, N. S.
    Bondar, A. E.
    Bondarev, D. V.
    Bragin, A. V.
    Dhawan, S. K.
    Eidelman, S. I.
    Epifanov, D. A.
    Fedotovich, G. V.
    Gabyshev, N. I.
    Gorbachev, D. A.
    Grebenuk, A. A.
    Grigoriev, D. N.
    Hughes, V. W.
    Ignatov, F. V.
    Karpov, S. V.
    Kazanin, V. F.
    Khazin, B. I.
    Koop, I. A.
    Krokovny, P. P.
    Kuzmin, A. S.
    Logashenko, I. B.
    Lukin, P. A.
    Lysenko, A. P.
    Mikhailov, K. Yu.
    Miller, J. P.
    Milshtein, A. I.
    Nesterenko, I. N.
    Nikulin, M. A.
    Okhapkin, V. S.
    Otboev, A. V.
    Perevedentsev, E. A.
    Popov, A. S.
    Redin, S. I.
    Roberts, B. L.
    Root, N. I.
    Ruban, A. A.
    Ryskulov, N. M.
    Shamov, A. G.
    Shatunov, Yu. M.
    Shwartz, B. A.
    Sibidanov, A. L.
    Sidorov, V. A.
    Skrinsky, A. N.
    Smakhtin, V. P.
    Snopkov, I. G.
    Solodov, E. P.
    [J]. PHYSICS LETTERS B, 2007, 648 (01) : 28 - 38
  • [9] Measurement of e+e- → π+π- cross-section with CMD-2 around ρ-meson
    Akhmetshin, RR
    Anashkin, EV
    Arbuzov, AB
    Aulchenko, VM
    Banzarov, VS
    Barkov, LM
    Baru, SE
    Bashtovoy, NS
    Bondar, AE
    Bondarev, DV
    Bragin, AV
    Chernyak, DV
    Dhawan, S
    Eidelman, SI
    Fedotovich, GV
    Gabyshev, NI
    Gorbachev, DA
    Grebenuk, AA
    Grigoriev, DN
    Hughes, VW
    Ignatov, FV
    Karpov, SV
    Kazanin, VF
    Khazin, BI
    Koop, IA
    Krokovny, PP
    Kuraev, EA
    Kurdadze, LM
    Kuzmin, AS
    Logashenko, IB
    Lukin, PA
    Lysenko, AP
    Mikhailov, KY
    Miller, JP
    Milstein, AI
    Nesterenko, IN
    Okhapkin, VS
    Polunin, AA
    Popov, AS
    Purlatz, TA
    Roberts, BL
    Root, NI
    Ruban, AA
    Ryskulov, NM
    Shamov, AG
    Shatunov, YM
    Shwartz, BA
    Sibidanov, AL
    Sidorov, VA
    Skrinsky, AN
    [J]. PHYSICS LETTERS B, 2002, 527 (3-4) : 161 - 172
  • [10] Update: A reanalysis of hadronic cross section measurements at CMD-2
    Akhmetshin, RR
    Anashkin, E
    Arbuzov, AB
    Banzarov, VS
    Baratt, A
    Barkov, LM
    Bogdan, A
    Bondar, AE
    Bondarev, D
    Eidelman, SI
    Epifanov, DA
    Fedotovich, G
    Gabyshev, NI
    Gorbachev, DA
    Grebenuk, AA
    Grigoriev, DN
    Hughes, VW
    Ignatov, FV
    Kazanin, VF
    Khazin, BI
    Krokovny, PP
    Kuraev, EA
    Kurdadze, LM
    Kuzmin, AS
    Lischenko, YE
    Logashenko, IB
    Lukin, PA
    Mikhailov, KY
    Miller, JP
    Milstein, AL
    Nikulin, MA
    Popov, AS
    Roberts, BL
    Root, NI
    Ryskulov, NM
    Shatunov, YM
    Shwartz, BA
    Sibidanov, AL
    Sidorov, VA
    Skrinsky, AN
    Smakhtin, VP
    Solodov, EP
    Stepanov, PY
    Thompson, JA
    Zaitsev, AS
    [J]. PHYSICS LETTERS B, 2004, 578 (3-4) : 285 - 289