Non-resonant Four-body Decay of B→D^- π^+ π^+ π^-
محورهای موضوعی : Mechanical Engineering
Yaghoob Mohammadmoradi
1
,
Mohammad Rahim Talebtash
2
,
Abolfazl Khodadadi
3
1 - Department of Physics, Aliabad Katoul Branch, Islamic Azad University, Aliabad Katoul, Iran
2 - Department of Engineering, Shahriar Branch, Islamic Azad University, Shahriar, Iran
3 - Department of Physics, Tehran North Branch, Islamic Azad University, Tehran, Iran
کلید واژه: B meson, four body decay, branching ratio, naive factorize,
چکیده مقاله :
We have calculated the branching ratio of the non-resonant B→D^- π^+ π^+ π^- four body decay using a simple model based on the framework of the naïve factorization approach where one can ommit the nonfactorization effects. In naive factorization approach, according to the Feynman diagram, there are only two tree diagrams for this decay mode. In the first diagram, the matrix element of decay mode is factorized into a B→D form factor multiplied by a 3π decay constant and in the second diagram, the matrix element is factorized into a B→Dπ form factor multiplied by a 2π decay constant, According to the rest mass of the particles, we assume that in the rest frame of B meson, the D meson remains stationary, so we obtain the value (3.47±0.14)×10^(-3) for the branching ratio of the B→D^- π^+ π^+ π^- decay mode in naive factorization approach, while the experimental results is (3.9±1.9)×10^(-3).
[1] Behnam Mohammadi and Hossein Mehraban,” Study of the Bs0 → J/ψK+K- decay”, Phys.Rev. D 89(9):095026, 2014.
[2] Behnam Mohammadi and Hossein Mehraban.” Three-body decays of B0(+) → K∗0(+) π+π-”. Eur.Phys.J. A50:122, 2014.6
[3] Michael Gronau, Oscar F. Hernandez, David London, and Jonathan L. Rosner.” BrokenSU (3) symmetry in two-body B decays”. Phys.Rev. D52:63566373, 1995.
[4] Mahiko Suzuki.” Selection rules in three-body B decay from factorization”. Phys.Rev. D62:091502, 2000.
[5] S. Fajfer, R.J. Oakes, and T.N. Pham.” The Penguin operators in nonresonantB- → Manti - Mπ-(M = π-, K-, K0) decays”. Phys.Rev. D60:054029, 1999.
[6] A. Ali, C. Greub,” An analysis of two-body non-leptonic B decays involving light mesons in the standard model”. Phys.Rev.D. 57:2996-3016, 1998. [arXiv:hep-ph/9707251]
[7] K. Terasaki.” Nonfactorizable long distance contributions in color suppressed decays of B mesons”Int.J.Mod.Phys. A 13:43254338, 1998.
[8] Hai-Yang Cheng and Kwei-Chou Yang. ”Nonresonant three-body decays of D and B mesons”Phys.Rev. D 66:054015, 2002.
[9] B. Bajc, S. Fajfer, R.J. Oakes, T.N. Pham, and SasaPrelovsek.” The CP violating asymmetry in B+ → Manti - Mπ+ decays”. Phys.Lett. B 447:313 320, 1999.
[10] Tomoko Iwashita.” Search for a J/ψηresonance inB± → J/ψηK± decay at Belle”. 2012.
[11] N. Quintero, G. Lopez Castro, and D. Delepine.” Lepton number violation in top quark and neutral B meson decays”. Phys.Rev. D 84:096011,2011.
[12] Gabriel Lopez Castro and Nestor Quintero.” Lepton number violating four-body tau lepton decays”. Phys.Rev. D 85:076006, 2012.
[13] M. Beneke, G. Buchalla, M. Neubert, and Christopher T. Sachrajda.” QCD factorization in B → πK, ππ decays and extraction of Wolfenstein parameters”. Nucl.Phys. B 606:245321, 2001.
[14] Claude Amsler et al. Review of Particle Physics. Phys.Lett. B 667:11340, 2008.
[15] K.A. Olive et al. Review of Particle Physics. Chin.Phys. C 38:090001, 2014.
[16] Ying-Ying Fan, Wen-Fei Wang, Shan Cheng, and Zhen-Jun Xiao.”Semileptonic decays B → D (∗) lvin the perturbative QCD factorization approach”. Chin.Sci.Bull. 59:125132, 2014
