Study of Bc Meson Decay Channels and Spectroscopy
The research delves into the Bc meson, focusing on its distinct signature, which enhances the accuracy of QCD dynamics understanding. With rich decay channels, the Bc meson offers potential for valuable insights. Sum rules are explored for the Bc S(AV)l transition form factors, shedding light on the internal structure of hadrons. The investigations encompass matrix elements, phenomenological interpretations, and numerical analyses. Overall, the study aims to contribute to the field's understanding of charm-beauty systems and spectroscopic possibilities in high-energy physics.
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Presentation Transcript
SEMILEPTONC BCTO P-WAVE CHARMONIA (XC0, XC1, hC) TRANSITION WITHIN QCD SUM RULES H.Sundu, K.Azizi, M.Bayar Presented by Dr. HAYR YE SUNDU KOCAELI UNIVERSITY , TURKEY
CONTENTS Introduction Sum Rules for the Bc S(AV)l transition form factors Heavy quark effective theory limit of the form factors Numerical analysis Conclusion
INTRODUCTION Why did we study Bcmeson? the possibility of the experimental study of the charm-beauty system Considerable interest in its spectroscopy A plenty number of Bcevents will be produced at LHC
INTRODUCTION The Bcmeson carries a dinstinctive signature The Bcmeson provides more accuracy and confidence in the understanding of the QCD dynamics The Bcmeson decay channels are expected to be very rich in comparison with other B mesons
Sum Rules for the Bc S(AV)l transition form factors Bc Xc0 (Xc1, hc)l transition at tree level
Sum Rules for the Bc S(AV)l transition form factors Matrix elements of the Bc Xc0 (Xc1, hc)l
Sum Rules for the Bc S(AV)l transition form factors Philosophy of the QCD sum rules We see it from the outside We see the internal structure of the hadron
Sum Rules for the Bc S(AV)l transition form factors In technique language, we start with the main object in QCD sum rules so called the correlation function
Sum Rules for the Bc S(AV)l transition form factors Phenomenological or physical side: The vacuum to the hadronic state matrix elements can be parameterized in terms of the leptonic decay constants as
Sum Rules for the Bc S(AV)l transition form factors The phenomenological side of the correlation functions are obtained as:
Sum Rules for the Bc S(AV)l transition form factors On the QCD side, the correlation functions can be calculated by the help of the OPE in the deep space-like region
Sum Rules for the Bc S(AV)l transition form factors Each perfunction is written in terms of the double dispersion representation:
Sum Rules for the Bc S(AV)l transition form factors The QCD sum rules for the form factors f1(q2) and f2(q2) for the Bc Xc0 can be acquired: The form factors fV, f0, f+and f-for Bc ( Xc1 , hc ) decays are also obtained as:
Sum Rules for the Bc S(AV)l transition form factors The differential decay width for Bc Xc0 is obtained as follows :
Sum Rules for the Bc S(AV)l transition form factors The differential decay width corresponding to Bc ( Xc1 , hc ) decays are acquired as:
Heavy quark effective theory limit of the form factors In this section, we calculate the heavy quark effective theory (HQET) limits of the transition form factors for Bc Xc0( Xc1 , hc ) . For this aim, we use the parameterization the new integration variables take the following form: The leptonic decay constants are rescaled:
Heavy quark effective theory limit of the form factors To evaluate the form factors in HQET, we also need to redefine the form factors in the following form: After standard calculations, we obtain the y-dependent expressions of the form factors f1'for Bc Xc0 transition as follows:
Numerical analysis Numerical values:
Conclusion In conclusion, using the QCD sum rules approach, we investigated the semileptonic Bc Xc0 (Xc1, hc)l decays. The q2 dependencies of the transition form factors were calculated. The HQET limits of the form factors were also evaluated and compared with original form factors. The obtained results were used to estimate the total decay widths and branching ratios of these transitions. These results can be tested in the future experiments.
