“…The LEET form factors ζ and ζ ⊥ will determine the coupling constants G A and G V , which may be used in calculation of nonfactorizable (color suppressed) non-leptonic Dmeson decays, in the same manner as have previously been done for K → ππ [30,41], [43,44], B → Dπ [32], and B → π 0 π 0 [45]. Then non-leptonic decay amplitudes might be written in terms of the LEET form factors ζ i , both for the factorized and the color suppressed cases.…”
Section: Discussionmentioning
confidence: 99%
“…where q n is the reduced field corresponding to an energetic light quark having momentum fraction close to one (see (43)), and χ represents a soft quark (see Eq. ( 27)).…”
Section: The Heavy-light Chiral Quark Model Hlχqmmentioning
We study the form factors for semileptonic decays of D-mesons. That is, we consider the matrix element of the weak left-handed quark current for the transitions D → P and D → V , where P and V are light pseudoscalar or vector mesons, respectively. Our motivation to perform the present study of these form factors are future calculations of non-leptonic decay amplitudes.We consider the form factors within a class of chiral quark models. Especially, we study how the Large Energy Effective Theory (LEET) limit works for D-meson decays. Compared to previous work we also introduce light vector mesons V = ρ, K * , ... within chiral quark models. In order to determine some of the parameters in our model, we use existing data and results based on some other methods like lattice calculations, light-cone sum rules, and heavy-light chiral perturbation theory.We also obtain some predictions within our framework.
“…The LEET form factors ζ and ζ ⊥ will determine the coupling constants G A and G V , which may be used in calculation of nonfactorizable (color suppressed) non-leptonic Dmeson decays, in the same manner as have previously been done for K → ππ [30,41], [43,44], B → Dπ [32], and B → π 0 π 0 [45]. Then non-leptonic decay amplitudes might be written in terms of the LEET form factors ζ i , both for the factorized and the color suppressed cases.…”
Section: Discussionmentioning
confidence: 99%
“…where q n is the reduced field corresponding to an energetic light quark having momentum fraction close to one (see (43)), and χ represents a soft quark (see Eq. ( 27)).…”
Section: The Heavy-light Chiral Quark Model Hlχqmmentioning
We study the form factors for semileptonic decays of D-mesons. That is, we consider the matrix element of the weak left-handed quark current for the transitions D → P and D → V , where P and V are light pseudoscalar or vector mesons, respectively. Our motivation to perform the present study of these form factors are future calculations of non-leptonic decay amplitudes.We consider the form factors within a class of chiral quark models. Especially, we study how the Large Energy Effective Theory (LEET) limit works for D-meson decays. Compared to previous work we also introduce light vector mesons V = ρ, K * , ... within chiral quark models. In order to determine some of the parameters in our model, we use existing data and results based on some other methods like lattice calculations, light-cone sum rules, and heavy-light chiral perturbation theory.We also obtain some predictions within our framework.
“…The LEET form factors ζ and ζ ⊥ , together with data for the D → π and D → ρ transitions, will determine the coupling constants G A and G V , which may be used in the calculation of nonfactorizable (color suppressed) nonleptonic D-meson decays, in the same manner as has previously been done for K → ππ [39,51], D → K 0K0 [52], B → DD [53,54], B → Dπ [40], and B → π 0 π 0 [41]. Then nonleptonic decay amplitudes can be written in terms of the LEET form factors ζ i , both for the factorized and the color-suppressed cases.…”
I would like to thank my advisor Jan Olav Eeg for his guidance, patience and motivation during these years. I also thank the professors Farid Ould-Saada, Carsten Lutken and Are Raklev who were my teachers. Thanks also to my office mate Sergey and my fellow students Marianne, Marius and the members of the theory group for their support both technical and social. I would also like to thank my PhD committee. My children Thomas and Andreas and my husband Roar were patient with my late working hours, weekend work, and with some truncated vacations. Roar also helped with proof reading, providing useful writing advice, and did the usual house and family work when I was occupied with equations and calculations. I would also like to thank Bjørg and Asgeir who supported the project fully as well, which was also very important to me.
“…Among these decays, B → DD decay is considered to test the β measurement. For the B → DD decay, the analysis based on SU (3) symmetry [2] , iso-spin symmetry [3] , factorization approach [4,5] and other approaches [6] have been done in the past several years. However, the calculation of the decay B 0 → D 0 D 0 has difficulties.…”
Within the heavy quark limit and the hierarchy approximation λQCD mD mB, we analyze the B → D 0 D 0 and Bs → D 0 D 0 decays, which occur purely via annihilation type diagrams. As a rough estimate, we calculate their branching ratios and CP asymmetries in the perturbative QCD (PQCD) approach. The branching ratio of B → D 0 D 0 is about 3.8 × 10 −5 that is just below the latest experimental upper limit. The branching ratio of Bs → D 0 D 0 is about 6.8 × 10 −4 , which could be measured in LHC-b. From the calculation, it is found that this branching ratio is not sensitive to the weak phase angle γ. In these two decay modes, there exist CP asymmetries because of the interference between weak and strong interaction. However, these asymmetries are too small to be measured easily.
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