Physics of the tau lepton Jorge Portols Instituto de Fsica - - PowerPoint PPT Presentation

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Physics of the tau lepton Jorge Portols Instituto de Fsica - - PowerPoint PPT Presentation

Jun 26, 2023 476 likes •834 views

Physics of the tau lepton Jorge Portols Instituto de Fsica Corpuscular CSIC-UVEG, Valencia (Spain) Leptons [1] Discovery of the tau lepton SLAC-LBL (SLAC,1975), PLUTO (DESY,1976) anomalous e events [2] Momentum of e or

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Physics of the tau lepton

Instituto de Física Corpuscular

CSIC-UVEG, Valencia (Spain)

Jorge Portolés

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Leptons Discovery of the tau lepton

SLAC-LBL (SLAC,1975), PLUTO (DESY,1976)

“anomalous” e  events

Momentum of e or  

DONuT (Direct Observation of Nu Tau), 2000

[1] [2]

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(GeV)

1 2 e 

 [1.77682(16)]

  K ’ p, n    

Decay spectrum

P ª Pseudoscalar meson

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Process Estimate Experiment

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Outline

 Leptonic decays  Hadron decays

I. Inclusive tau decays: S(M) and |Vus| II. Exclusive tau decays: Hadronization of QCD currents

  • E. g.
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  • 1. Lepton decays

[3]

Charged current universality

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  • 2. Hadron decays

[4]

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What can we get?

  • 1. Inclusive decays: full hadron spectra. Precision physics.

Study of Standard Model parameters : S(M), |Vus|, mS

  • 2. Exclusive decays: specific hadron spectrum.

Study of form factors, resonance parameters (MR, R), hadronization of QCD currents. Approximate physics

P = pseudoscalar meson

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2.1 Inclusive hadron decays

2 2

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2

[5]

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+

V V A A

S=0 S=1

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[6]

+

V V A A

J

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[7] [8]

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analytic everywhere except

  • n the positive real axis

analytic

Re(s) Im(s)

M

2

[9]

OPE

Working on the theoretical prediction of …. to get , ..... Quark-Hadron duality violation

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[3,10]

Perturbative contribution

[8,11,12]

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Non-perturbative contributions

[9, 13] [14] [15] [13]

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Reference Method

Baikov et al. [12] CIPT, FOPT 0.1998 (43)

  • 0.332 (16)

0.1202 (19) Davier et al. [8] CIPT 0.2066 (70)

  • 0.0059 (14)

0.344 (09) 0.1212 (11) Beneke-Jamin [16] BSR + FOPT 0.2042 (50)

  • 0.007 (03)

0.316 (06) 0.1180 (08) Maltman-Yavin [17] PWM + CIPT

  • +0.012 (18)

0.321 (13) 0.1187 (16) Menke [18] CIPT, FOPT 0.2042 (50)

  • 0.342 (11)

0.1213 (12) Narison [19] CIPT, FOPT

  • 0.324 (08)

0.1192 (10) Caprini-Fischer [20] BSR + CIPT 0.2037 (54)

  • 0.322 (16)
  • Abbas et al. [21]

IFOPT 0.2037 (54)

  • 0.338 (10)
  • Cvetic et al. [22]

exp + CIPT 0.2040 (40)

  • 0.341 (08)

0.1211 (10) Boito et al. [23] CIPT, DV FOPT, DV

  • 0.002 (12)
  • 0.004 (12)

0.347 (25) 0.325 (18) 0.1216 (27) 0.1191 (22) Pich [24] CIPT, FOPT 0.1995 (33)

  • 0.0059 (14)

0.329 (13) 0.1198 (15)

CIPT : Contour-improved perturbation theory exp : Expansion in derivatives of s FOPT : Fixed-order perturbation theory PWM : Pinched-weight moments BSR : Borel summation of renormalon series DV : Duality violation IFOPT: Improved FOPT

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mS and |Vus| from inclusive tau data decays

[25, 26]

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[Gamiz, 05]

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0.2175 0.22 0.2225 0.225 0.2275 0.23

us

V

CHPT+ LR CHPT+ NC, RBC/UK QCD, 06 M M = Maltman (2009) P = Pich (2013)

Vus

(2007) (2005) Expts (2005) (2004) (2004) JOP BT LR = Leutwyler-Roos (1984) JOP = Jamin-Oller-Pich (2004) BT = Bijnens-Talavera (2003) CHPT+NC = Cirigliano et al (2006) Expts = FLAVIAnet WG (2010) B = A. Bazavov et al. (2012) (2009) (2005) Unitarity

B P

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2.2 Exclusive hadron decays

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Examples

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Phenomenological Lagrangians : Tree Level

[27,28]

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+

[29,30,31]

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[32]

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  • 1. Inclusive decays: full hadron spectra. Precision physics.

Study of Standard Model parameters : S(M), |Vus|, mS

  • 2. Exclusive decays: specific hadron spectrum.

Study of form factors, resonance parameters (MR, R), hadronization of QCD currents. Approximate physics

P = pseudoscalar meson

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References

[1] J. Adam, et al., [MEG Collaboration], arXiv:1303.0754 [hep-ex]. [2] H. Albrecht, et al., [ARGUS Collaboration], Phys. Lett. 246 (1990) 278. [3] W.J. Marciano, A. Sirlin, Phys. Rev. Lett. 61 (1988) 1815. [4] J.H. Kühn, E. Mirkes, Z. Phys. C56 (1992) 661. Erratum: Z. Phys. C67 (1995) 364. [5] C. Itzykson, J-B. Zuber, Quantum Field Theory, McGraw-Hill Co. (1985) p.246. [6] Heavy Flavour Averaging Group, http://www.slac.stanford.edu/xorg/hfag/ [7] M. Davier, A. Höcker, Z. Zhang, Rev. Mod. Phys. 78 (2006) 1043. [8] M. Davier et al., Eur. Phys. J. C56 (2008) 305. [9] E. Braaten, S. Narison, A. Pich, Nucl. Phys. B373 (1992) 581. [10] J. Erler, Rev. Mex. Fis. 50 (2004) 200. [11] F. Le Diberder, A. Pich, Phys. Lett. B286 (1992) 147. [12] P.A. Baikov, K.G. Chetyrkin, J.H. Kühn, Phys. Rev. Lett. 101 (2008) 012002. [13] M.A. Shifman, A.I. Vainshtein, V.I. Zakharov, Nucl. Phys. B147 (1979) 385, 448. [14] C. McNeile et al, Phys. Rev. D87 (2013) 034503. [15] M. Jamin, Phys. Lett. B538 (2002) 71. [16] M. Beneke, M. Jamin, JHEP 0809 (2008) 044. [17] K. Maltman, T. Yavin, Phys. Rev. D78 (2008) 094020. [18] S. Menke, arXiv:0904.1796 [hep-ph]. [19] S. Narison, Phys. Lett. B673 (2009) 30. [20] I. Caprini, J. Fischer, Phys. Rev. D84 (2011) 054019. [21] G. Abbas et al., Phys. Rev. D87 (2013) 014008. [22] G. Cvetic et al., Phys. Rev. D82 (2010) 093007. [23] D. Boito et al., Phys. Rev. D85 (2012) 093015.

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[24] A. Pich, arXiv:1303.2262 [hep-ph]. [25] E. Gámiz et al., Phys. Rev. Lett. 94 (2005) 011803. [26] A. Pich, arXiv:1301.4474 [hep-ph]. [27] G. Ecker et al., Nucl. Phys. B321 (1989) 311. [28] J. Portolés, AIP Conf.Proc. 1322 (2010) 178. [29] G. Ecker et al., Phys. Lett. B223 (1989) 425. [30] F. Guerrero, A. Pich, Phys. Lett. B412 (1997) 382. [31] A. Pich, J. Portolés, Phys.Rev. D63 (2001) 093005. [32] D. Gómez Dumm et al, Phys. Lett. B685 (2010) 158.