Analysis of the decay constants of the heavy pseudoscalar mesons with QCD sum rules

Wang, Zhigang

doi:10.1007/jhep10(2013)208

Cited by 24 publications

(1 citation statement)

References 69 publications

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“…The vertical dashed and dotted lines denote the respective lower and upper Borel window boundaries. constant in the range of f P =(201-211) MeV in [37,39,40,81] as well as the tendency of rising residuum and decay constant values for increasing n max reported in [36] for pseudoscalar D mesons, see lower left panel of figure 7. 12 While vacuum scalar D meson decay constants deduced from a QSR with perturbative term in order s 2 a are reported to reside in the range of f S =(217-221) MeV in [41,48], the determination [82] building on the perturbative term in order α s , used throughout this work, yields f S =170 MeV which is relatively close to our findings depicted in the right panels of figures 7 and 9, see the consistent (vacuum) result in the right panel of figure 6.…”

Section: Vacuum Borel Curves and Extraction Of |V CD |mentioning

confidence: 70%

Chiral-partner D mesons in a heat bath within QCD sum rules

Buchheim

Hilger

Kämpfer

et al. 2018

J. Phys. G: Nucl. Part. Phys.

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Utilizing QCD sum rules, we extract the temperature dependences of the spectral properties of the pseudo-scalar and scalar D mesons regarded as chiral partners. Besides the masses also decay constants are analyzed as the D meson yields in heavy-ion collisions may be sensitive to their altered decay properties in an ambient strongly interacting medium. Our findings are (i) a decreasing scalar D meson mass for growing temperatures while its pseudo-scalar partner meson seems hardly affected, which is in qualitative agreement with hadronic model calculations; (ii) inferring an equally weak temperature dependence of the pseudo-scalar D meson decay properties the decreasing residua and decay constants of the scalar particle point towards partial chiral restoration. As a bonus of our analysis in the pseudo-scalar sector we determine the pseudo-scalar decay constant at vanishing temperature. Due to the connection to particular leptonic branching fractions this decay constant is of great interest allowing for the determination of the off-diagonal CKM matrix element |V cd | at zero temperature. arXiv:1801.01472v1 [nucl-th] 4 Jan 2018 etc. Further interesting aspects of open flavor mesons are rare CP-violating decays [10] and their role w. r. t. exotic quantum numbers [11]. In this paper, we utilize the QCD sum rule (QSR) tool [12] and compare chiral-partner open-charm mesons, that is the pseudo-scalar (P) D meson and the scalar (S) D meson. Mass modificationsChiral partners in the light-quark sector, e. g. the spectra of ρ and a 1 mesons, should become mass degenerate under chiral restoration [13,14], but also the individual fate of a member in the chiral multiplet under chiral restoration is of interest [15][16][17]. As mentioned above, also the open-charm mesons are subject to chiral restoration, albeit in a different manner.Studying patterns of dynamical chiral symmetry breaking (DχSB) with mesons containing a heavy and a light quark seems to be superimposed by the explicit symmetry breaking due to the non-negligible heavy-quark mass. However, the original light-quark problem can be translated into the heavy-light sector, if the chiral symmetry transformations are restricted to the light-quark content. As exemplified in Appendix A for the D 0 meson, the respective pseudo-scalar current can be transformed into the scalar current by a finite chiral transformation with a specific set of rotation parameters. Thus, the pseudo-scalar and scalar D 0 mesons are qualified as chiral partners, which would have degenerate spectral properties in a chirally symmetric world. In contrast, the experimentally verified masses [3], m P = 1.865 GeV and m S = 2.318 GeV, deviate by about 450 MeV (similar to the a 1 -ρ mass splitting) signaling the dynamical breakdown of chiral symmetry which is driven by order parameters [18-21], e. g. most prominently by the chiral condensate 〈qq〉 as well as by chirally odd four-quark condensates which vanish in a chiral restoration scenario. The DχSB phenomenology, e. g. the splitting of chiral partner mass...

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Section: Vacuum Borel Curves and Extraction Of |V CD |mentioning

confidence: 70%

Chiral-partner D mesons in a heat bath within QCD sum rules

Buchheim

Hilger

Kämpfer

et al. 2018

J. Phys. G: Nucl. Part. Phys.

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B meson decay constants f B c $$ {f}_{B_c} $$ , f B s $$ {f}_{B_s} $$ and f B from QCD sum rules

Baker

Bordes

Domínguez

et al. 2014

J. High Energ. Phys.

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Finite energy QCD sum rules with Legendre polynomial integration kernels are used to determine the heavy meson decay constant f Bc , and revisit f B and f Bs . Results exhibit excellent stability in a wide range of values of the integration radius in the complex squared energy plane, and of the order of the Legendre polynomial. Results are f Bc = 528 ± 19 MeV, f B = 186 ± 14 MeV, and f Bs = 222 ± 12 MeV.

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Bayesian fit analysis to full distribution data of $$ \overline{\mathrm{B}}\to {\mathrm{D}}^{\left(\ast \right)}\mathrm{\ell}\overline{\nu }:\left|{\mathrm{V}}_{\mathrm{cb}}\right| $$ determination and new physics constraints

Iguro

Watanabe

2020

J. High Energ. Phys.

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We investigate the semi-leptonic decays ofB → D (*) ν in terms of the Heavy-Quark-Effective-Theory (HQET) parameterization for the form factors, which is described with the heavy quark expansion up to O(1/m 2 c) beyond the simple approximation considered in the original CLN parameterization. An analysis with this setup was first given in the literature, and then we extend it to the comprehensive analyses including (i) simultaneous fit of |V cb | and the HQET parameters to available experimental full distribution data and theory constraints, and (ii) New Physics (NP) contributions of the V 2 and T types, such as (cγ µ P R b)(γ µ P L ν) and (cσ µν P L b)(σ µν P L ν), to the decay distributions and rates. For this purpose, we perform Bayesian fit analyses by using Stan program, a state-of-theart public platform for statistical computation. Then, we show that our |V cb | fit results for the SM scenarios are close to the PDG combined average from the exclusive mode, and indicate significance of the angular distribution data. In turn, for the SM + NP scenarios, our fit analyses find that non-zero NP contribution is favored at the best fit point for both SM + V 2 and SM + T depending on the HQET parameterization model. A key feature is then realized in theB → D (*) τν observables. Our fit result of the HQET parameters in the SM(+T) produces a consistent value for R D while smaller for R D * , compared with the previous SM prediction in the HFLAV report. On the other hand, SM + V 2 points to smaller and larger values for R D and R D * than the SM predictions. In particular, the R D * deviation from the experimental measurement becomes smaller, which could be interesting for future improvement on measurements at the Belle II experiment.

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Analysis of the decay constants of the heavy pseudoscalar mesons with QCD sum rules

Cited by 24 publications

References 69 publications

Chiral-partner D mesons in a heat bath within QCD sum rules

Chiral-partner D mesons in a heat bath within QCD sum rules

B meson decay constants f B c $$ {f}_{B_c} $$ , f B s $$ {f}_{B_s} $$ and f B from QCD sum rules

Bayesian fit analysis to full distribution data of $$ \overline{\mathrm{B}}\to {\mathrm{D}}^{\left(\ast \right)}\mathrm{\ell}\overline{\nu }:\left|{\mathrm{V}}_{\mathrm{cb}}\right| $$ determination and new physics constraints

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