S-, P- AND D-WAVE ππ FINAL STATE INTERACTIONS AND CP VIOLATION IN B± → π±π±π± DECAYS

被引：41

作者：

Dedonder, J. -P. ^{[1
,2
,3
]}

Furman, A.

Kaminski, R. ^{[4
]}

Lesniak, L. ^{[4
]}

Loiseau, B. ^{[1
,2
,3
]}

机构：

[1] Univ Paris 06, Grp Theorie, Lab Phys Nucl & Hautes Energies, F-75252 Paris, France

[2] Univ Paris Diderot, IN2P3, F-75252 Paris, France

[3] CNRS, F-75252 Paris, France

[4] Polish Acad Sci, Div Theoret Phys, Henryk Niewodniczanski Inst Nucl Phys, PL-31342 Krakow, Poland

来源：

ACTA PHYSICA POLONICA B | 2011年 / 42卷 / 09期

关键词：

QCD FACTORIZATION;

D O I：

10.5506/APhysPolB.42.2013

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study CP violation and the contribution of the strong pion-pion interactions in the three-body B +/- ->pi +/-pi +/-pi +/- decays within a quasi two-body QCD factorization approach. The short distance interaction amplitude is calculated in the next-to-leading order in the strong coupling constant with vertex and penguin corrections. The meson-meson final state interactions are described by pion non-strange scalar and vector form factors for the S and P waves and by a relativistic Breit-Wigner formula for the D wave. The pion scalar form factor is calculated from a unitary relativistic coupled-channel model including pi pi, K K and effective (2 pi)(2 pi) interactions. The pion vector form factor results from a Belle Collaboration analysis of T- -> pi(-)pi(0)v(T) data. The recent B +/- -> pi +/-pi +/-pi +/- BABAR Collaboration data are fitted with our model using only three parameters for the S wave, one for the P wave and one for the D wave. We find not only a sizable contribution of the S wave just above the pi pi threshold but also under the rho(770) peak a significant interference, mainly between the S and P waves. For the B to f(2)(1270) transition form factor, we predict F-Bf2(m(pi)(2)) = 0.098 +/- 0.007. Our model yields a unified unitary description of the contribution of the three scalar resonances f(0)(600), f(0)(980) and f(0)(1400) in terms of the pion non-strange scalar form factor.

引用

页码：2013 / 2043

页数：31

共 37 条

[1]

Ali A, 1998, PHYS REV D, V58, DOI 10.1103/PhysRevD.58.094009

[2] Physical results from 2+1 flavor domain wall QCD and SU(2) chiral perturbation theory [J].

Allton, C. ;

Antonio, D. J. ;

Aoki, Y. ;

Blum, T. ;

Boyle, P. A. ;

Christ, N. H. ;

Clark, M. A. ;

Cohen, S. D. ;

Dawson, C. ;

Donnellan, M. A. ;

Flynn, J. M. ;

Hart, A. ;

Izubuchi, T. ;

Jung, C. ;

Juttner, A. ;

Kennedy, A. D. ;

Kenway, R. D. ;

Li, M. ;

Li, S. ;

Lin, M. F. ;

Mawhinney, R. D. ;

Maynard, C. M. ;

Ohta, S. ;

Pendleton, B. J. ;

Sachrajda, C. T. ;

Sasaki, S. ;

Scholz, E. E. ;

Soni, A. ;

Tweedie, R. J. ;

Wennekers, J. ;

Yamazaki, T. ;

Zanotti, J. M. .

PHYSICAL REVIEW D, 2008, 78 (11)

[3] Measurement of CP-violating asymmetries in B0→(ρπ)0 using a time-dependent Dalitz plot analysis [J].

Aubert, B. ;

Bona, M. ;

Boutigny, D. ;

Karyotakis, Y. ;

Lees, J. P. ;

Poireau, V. ;

Prudent, X. ;

Tisserand, V. ;

Zghiche, A. ;

Garra Tico, J. ;

Grauges, E. ;

Lopez, L. ;

Palano, A. ;

Eigen, G. ;

Ofte, I. ;

Stugu, B. ;

Sun, L. ;

Abrams, G. S. ;

Battaglia, M. ;

Brown, D. N. ;

Button-Shafer, J. ;

Cahn, R. N. ;

Groysman, Y. ;

Jacobsen, R. G. ;

Kadyk, J. A. ;

Kerth, L. T. ;

Kolomensky, Yu. G. ;

Kukartsev, G. ;

Pegna, D. Lopes ;

Lynch, G. ;

Mir, L. M. ;

Orimoto, T. J. ;

Pripstein, M. ;

Roe, N. A. ;

Ronan, M. T. ;

Tackmann, K. ;

Wenzel, W. A. ;

Sanchez, P. del Amo ;

Hawkes, C. M. ;

Watson, A. T. ;

Held, T. ;

Koch, H. ;

Lewandowski, B. ;

Pelizaeus, M. ;

Schroeder, T. ;

Steinke, M. ;

Boyd, J. T. ;

Burke, J. P. ;

Cottingham, W. N. ;

Walker, D. .

PHYSICAL REVIEW D, 2007, 76 (01)

[4] Dalitz plot analysis of B±→π±π±π∓ decays [J].

Aubert, B. ;

Karyotakis, Y. ;

Lees, J. P. ;

Poireau, V. ;

Prencipe, E. ;

Prudent, X. ;

Tisserand, V. ;

Tico, J. Garra ;

Grauges, E. ;

Lopez, L. ;

Palano, A. ;

Pappagallo, M. ;

Eigen, G. ;

Stugu, B. ;

Sun, L. ;

Battaglia, M. ;

Brown, D. N. ;

Kerth, L. T. ;

Kolomensky, Yu. G. ;

Lynch, G. ;

Osipenkov, I. L. ;

Tackmann, K. ;

Tanabe, T. ;

Hawkes, C. M. ;

Soni, N. ;

Watson, A. T. ;

Koch, H. ;

Schroeder, T. ;

Asgeirsson, D. J. ;

Fulsom, B. G. ;

Hearty, C. ;

Mattison, T. S. ;

McKenna, J. A. ;

Barrett, M. ;

Khan, A. ;

Randle-Conde, A. ;

Blinov, V. E. ;

Bukin, A. D. ;

Buzykaev, A. R. ;

Druzhinin, V. P. ;

Golubev, V. B. ;

Onuchin, A. P. ;

Serednyakov, S. I. ;

Skovpen, Yu. I. ;

Solodov, E. P. ;

Todyshev, K. Yu. ;

Bondioli, M. ;

Curry, S. ;

Eschrich, I. ;

Kirkby, D. .

PHYSICAL REVIEW D, 2009, 79 (07)

[5] New results on B→π,K,η decay form factors from light-cone sum rules -: art. no. 014015 [J].

Ball, P ;

Zwicky, R .

PHYSICAL REVIEW D, 2005, 71 (01) :014015-1

[6]

Ball P, 1998, PHYS REV D, V58, DOI 10.1103/PhysRevD.58.094016

[7] Twist-3 distribution amplitudes of K* and φ mesons [J].

Ball, Patricia ;

Jones, Gareth W. .

JOURNAL OF HIGH ENERGY PHYSICS, 2007, (03)

[8]

Barton G., 1965, Introduction to Dispersion Techniques in Field Theory

[9] Hadronic B decays [J].

Beneke, M. .

NUCLEAR PHYSICS B-PROCEEDINGS SUPPLEMENTS, 2007, 170 :57-62

[10] QCD factorization for B→PP and B→PV decays [J].

Beneke, M ;

Neubert, M .

NUCLEAR PHYSICS B, 2003, 675 (1-2) :333-415

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