scholarly journals Rare Λb → nl+l− decays in the relativistic quark–diquark picture

2017 ◽  
Vol 32 (24) ◽  
pp. 1750125 ◽  
Author(s):  
R. N. Faustov ◽  
V. O. Galkin

The form factors of the rare [Formula: see text] decays are calculated in the framework of the relativistic quark–diquark picture of baryons with the consistent account of the relativistic effects. Their momentum transfer squared dependence is determined explicitly in the whole accessible kinematical range. The decay branching fractions, forward–backward asymmetries and the fractions of longitudinally polarized dileptons are determined. The branching fraction of the rare [Formula: see text] decay are found to be [Formula: see text] and thus could be measured at the LHC. Prediction for the branching fraction of the rare radiative [Formula: see text] decay is also given.

2021 ◽  
Vol 81 (7) ◽  
Author(s):  
Martin Beneke ◽  
Philipp Böer ◽  
Panagiotis Rigatos ◽  
K. Keri Vos

AbstractMotivated by the first search for the rare charged-current B decay to four leptons, $$\ell \bar{\nu }_\ell \ell ^{(\prime )} \bar{\ell }^{(\prime )}$$ ℓ ν ¯ ℓ ℓ ( ′ ) ℓ ¯ ( ′ ) , we calculate the decay amplitude with factorization methods. We obtain the $$B\rightarrow \gamma ^*$$ B → γ ∗ form factors, which depend on the invariant masses of the two lepton pairs, at leading power in an expansion in $$\Lambda _\mathrm{QCD}/m_b$$ Λ QCD / m b to next-to-leading order in $$\alpha _s$$ α s , and at $$\mathcal {O}(\alpha _s^0)$$ O ( α s 0 ) at next-to-leading power. Our calculations predict branching fractions of a few times $$10^{-8}$$ 10 - 8 in the $$\ell ^{(\prime )} \bar{\ell }^{(\prime )}$$ ℓ ( ′ ) ℓ ¯ ( ′ ) mass-squared bin up to $$q^2=1~$$ q 2 = 1 GeV$$^2$$ 2 with $$n_+q>3~$$ n + q > 3 GeV. The branching fraction rapidly drops with increasing $$q^2$$ q 2 . An important further motivation for this investigation has been to explore the sensitivity of the decay rate to the inverse moment $$\lambda _B$$ λ B of the leading-twist B meson light-cone distribution amplitude. We find that in the small-$$q^2$$ q 2 bin, the sensitivity to $$\lambda _B$$ λ B is almost comparable to $$B^- \rightarrow \mathrm {\ell }^- \bar{\nu }_{\mathrm {\ell }}\gamma $$ B - → ℓ - ν ¯ ℓ γ when $$\lambda _B$$ λ B is small, but with an added uncertainty from the light-meson intermediate resonance contribution. The sensitivity degrades with larger $$q^2$$ q 2 .


2007 ◽  
Vol 16 (06) ◽  
pp. 1741-1755 ◽  
Author(s):  
Z. A. KHAN ◽  
MINITA SINGH

Working within the framework of Coulomb modified correlation expansion of the Glauber amplitude, we analyse the elastic scattering of ~1 GeV protons on 4 He , 12 C , 16 O and 40 Ca nuclei. Emphasis has been put on the use of different parametrizations of the basic (input) NN amplitude, which provide equivalently good accounts of the elastic NN scattering observables up to the available momentum transfer region. Using realistic form factors for target nuclei, it is found that the proton-nucleus collisions could provide a test to know which is the better choice of the NN amplitude. The analysis also considers the possibility of extracting some additional information about the matter density distributions.


2015 ◽  
Vol 30 (27) ◽  
pp. 1550162 ◽  
Author(s):  
Qin Chang ◽  
Pan-Pan Li ◽  
Xiao-Hui Hu ◽  
Lin Han

Motivated by the experiments of heavy flavor physics at running LHC and upgrading SuperKEKB/Belle-II in the future, the nonleptonic [Formula: see text] [Formula: see text] weak decays are studied in this paper. The amplitudes are calculated with factorization approach, and the transition form factors [Formula: see text] are evaluated within BSW model. With the reasonable approximation [Formula: see text], our predictions of branching fractions are presented. Numerically, the CKM-favored tree-dominated [Formula: see text] and [Formula: see text] decays have the largest branching fractions of the order [Formula: see text], and hence will be firstly observed by forthcoming Belle-II experiment. However, most of the other decay modes have the branching fractions [Formula: see text] and thus are hardly to be observed soon. Besides, for the possible detectable [Formula: see text] decays with branching fractions [Formula: see text], some useful ratios, such as [Formula: see text], etc. are presented and discussed in detail.


2019 ◽  
Vol 34 (31) ◽  
pp. 1950195 ◽  
Author(s):  
Wei Wang ◽  
Ruilin Zhu

Experimental measurements of decay branching fractions of semitaunic and semimuonic [Formula: see text] into [Formula: see text] have challenged the lepton flavor universality in standard models with about two standard deviations. In this paper, we first investigate the unitary constraint on form factors of [Formula: see text] meson into [Formula: see text]-wave and [Formula: see text]-wave charmonium. Such constraint leads to the exploration of the [Formula: see text] and other ratios [Formula: see text], [Formula: see text], and [Formula: see text] in a model-independent way. These results together with future experimental measurements can be used to explore the lepton flavor universality in a more systematic way. In addition, we point out that the helicity-dependent ratios [Formula: see text] and [Formula: see text] can also provide complementary information.


2009 ◽  
Vol 24 (31) ◽  
pp. 5845-5860 ◽  
Author(s):  
K. AZIZI ◽  
R. KHOSRAVI ◽  
F. FALAHATI

Using the factorization approach and considering the contributions of the current–current, QCD penguin and electroweak penguin operators at the leading approximation, the decay amplitudes and decay widths of [Formula: see text] and [Formula: see text] transitions, where q = u, d, s and P and V are pseudoscalar and vector mesons, are calculated in terms of the transition form factors of the Bq→Dq and [Formula: see text]. Having computed those form factors in three-point QCD sum rules, the branching fraction for these decays are also evaluated. A comparison of our results with the predictions of the perturbative QCD as well as the existing experimental data is presented.


1987 ◽  
Vol 02 (06) ◽  
pp. 1829-1838 ◽  
Author(s):  
S.N. BANERJEE ◽  
R.K. DAS ◽  
A.K. SARKER

We have investigated the form factors of the π and K mesons within the framework of the statistical model. Our results reveal several well-spaced minima and maxima for different values of Q2, the square of the momentum transfer. The characteristic features of the elastic differential cross section, dσ/dt, for π±P and K±P scattering data are well reproduced, as a consequence.


2020 ◽  
Vol 35 (35) ◽  
pp. 2030018
Author(s):  
C. C. Zhang

First direct measurements of the weak decay constant [Formula: see text] and the [Formula: see text] branching fractions to [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text] at the BES experiments in 1990s are reviewed. Referring to the BESIII results of [Formula: see text] and branching fraction [Formula: see text] with best precision1 to date, prospect for challenge on precision measurements of [Formula: see text] and [Formula: see text] at BESIII is presented.


Particles ◽  
2020 ◽  
Vol 3 (1) ◽  
pp. 193-207
Author(s):  
Mikhail A. Ivanov ◽  
Jürgen G. Körner ◽  
Pietro Santorelli ◽  
Chien-Thang Tran

Measurements of the branching fractions of the semileptonic decays B → D ( * ) τ ν ¯ τ and B c → J / ψ τ ν ¯ τ systematically exceed the Standard Model predictions, pointing to possible signals of new physics that can violate lepton flavor universality. The unknown origin of new physics realized in these channels can be probed using a general effective Hamiltonian constructed from four-fermion operators and the corresponding Wilson coefficients. Previously, constraints on these Wilson coefficients were obtained mainly from the experimental data for the branching fractions. Meanwhile, polarization observables were only theoretically studied. The situation has changed with more experimental data having become available, particularly those regarding the polarization of the tau and the D * meson. In this study, we discuss the implications of the new data on the overall picture. We then include them in an updated fit of the Wilson coefficients using all hadronic form factors from our covariant constituent quark model. The use of our form factors provides an analysis independent of those in the literature. Several new-physics scenarios are studied with the corresponding theoretical predictions provided, which are useful for future experimental studies. In particular, we find that under the one-dominant-operator assumption, no operator survives at 1 σ . Moreover, the scalar operators O S L and O S R are ruled out at 2 σ if one uses the constraint B ( B c → τ ν τ ) ≤ 10 % , while the more relaxed constraint B ( B c → τ ν τ ) ≤ 30 % still allows these operators at 2 σ , but only minimally. The inclusion of the new data for the D * polarization fraction F L D * reduces the likelihood of the right-handed vector operator O V R and significantly constrains the tensor operator O T L . Specifically, the F L D * alone rules out O T L at 1 σ . Finally, we show that the longitudinal polarization P L τ of the tau in the decays B → D * τ ν ¯ τ and B c → J / ψ τ ν ¯ τ is extremely sensitive to the tensor operator. Within the 2 σ allowed region, the best-fit value T L = 0.04 + i 0.17 predicts P L τ ( D * ) = − 0.33 and P L τ ( J / ψ ) = − 0.34 , which are at about 33% larger than the Standard Model (SM) prediction P L τ ( D * ) = − 0.50 and P L τ ( J / ψ ) = − 0.51 .


2020 ◽  
Vol 80 (11) ◽  
Author(s):  
Yu-Kuo Hsiao ◽  
Ling Yang ◽  
Chong-Chung Lih ◽  
Shang-Yuu Tsai

AbstractMore than ten $$\Omega _c^0$$ Ω c 0 weak decay modes have been measured with the branching fractions relative to that of $$\Omega ^0_c\rightarrow \Omega ^-\pi ^+$$ Ω c 0 → Ω - π + . In order to extract the absolute branching fractions, the study of $$\Omega ^0_c\rightarrow \Omega ^-\pi ^+$$ Ω c 0 → Ω - π + is needed. In this work, we predict $${{\mathcal {B}}}_\pi \equiv {{\mathcal {B}}}(\Omega _c^0\rightarrow \Omega ^-\pi ^+)=(5.1\pm 0.7)\times 10^{-3}$$ B π ≡ B ( Ω c 0 → Ω - π + ) = ( 5.1 ± 0.7 ) × 10 - 3 with the $$\Omega _c^0\rightarrow \Omega ^-$$ Ω c 0 → Ω - transition form factors calculated in the light-front quark model. We also predict $${{\mathcal {B}}}_\rho \equiv {{\mathcal {B}}}(\Omega _c^0\rightarrow \Omega ^-\rho ^+)=(14.4\pm 0.4)\times 10^{-3}$$ B ρ ≡ B ( Ω c 0 → Ω - ρ + ) = ( 14.4 ± 0.4 ) × 10 - 3 and $${{\mathcal {B}}}_e\equiv {{\mathcal {B}}}(\Omega _c^0\rightarrow \Omega ^-e^+\nu _e)=(5.4\pm 0.2)\times 10^{-3}$$ B e ≡ B ( Ω c 0 → Ω - e + ν e ) = ( 5.4 ± 0.2 ) × 10 - 3 . The previous values for $${{\mathcal {B}}}_\rho /{{\mathcal {B}}}_\pi $$ B ρ / B π have been found to deviate from the most recent observation. Nonetheless, our $${{\mathcal {B}}}_\rho /{{\mathcal {B}}}_\pi =2.8\pm 0.4$$ B ρ / B π = 2.8 ± 0.4 is able to alleviate the deviation. Moreover, we obtain $${{\mathcal {B}}}_e/{{\mathcal {B}}}_\pi =1.1\pm 0.2$$ B e / B π = 1.1 ± 0.2 , which is consistent with the current data.


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