In this paper we first calculate the form factors of $B \to (\pi,K)$ and $B_s K $ transitions by employing perturbative QCD (pQCD) factorization approach with inclusion next-to-leading-order(NLO) corrections, then branching ratios corresponding semileptonic decays $B/B_s (\pi, K)(l^+l^-,l\nu,\nu\bar{\nu})$ (here $l$ denotes $e, \mu$ $\tau$). Based on numerical calculations phenomenological analysis, found following results: (a) For K)$ K$ transition $F_{0,+,\rmt}(q^2)$, NLO pQCD predictions...

In this work, we recalculate the charmless pure annihilation decays ${B}_{s}\ensuremath{\rightarrow}{\ensuremath{\pi}}^{+}{\ensuremath{\pi}}^{\ensuremath{-}}$ and ${B}^{0}\ensuremath{\rightarrow}{K}^{+}{K}^{\ensuremath{-}}$ by using perturbative QCD (pQCD) factorization approach, compare pQCD predictions with currently available experimental measurements. By numerical calculations phenomenological analysis, found following results: (a) one can provide a consistent interpretation for both...

In this paper we study the semileptonic decays of B - c → (η , J/ψ)l -νl .We firstly evaluate J/Ψ) transition form factors F 0 (q 2 ), + V ) and A 0,1,2 by employing pQCD factorization approach, then calculate branching ratios for all considered decays.Based on numerical results phenomenological analysis, find that: (a) predictions values η J/Ψ agree well with those obtained using other methods; (b) are Br (B e -νe (µ -νµ )) = (4.41+1.22 -1.09 × 10 -3 τ -ντ (1.37 +0.37 -0.34 Br(B J/Ψe...

In this work, we calculate the $CP$-averaged branching ratios and direct $CP$-violating asymmetries of quasi-two-body decays ${B}_{(s)}\ensuremath{\rightarrow}P(\ensuremath{\rho}\ensuremath{\rightarrow})\ensuremath{\pi}\ensuremath{\pi}$ by employing perturbative QCD (PQCD) approach (here $P$ stands for a light pseudoscalar meson $\ensuremath{\pi}$, $K$, $\ensuremath{\eta}$ or ${\ensuremath{\eta}}^{\ensuremath{'}}$). The vector current timelike form factor ${F}_{\ensuremath{\pi}}$, which...

In this paper, we calculate the decay rate and CP asymmetry of ${B}_{s}\ensuremath{\rightarrow}{\ensuremath{\pi}}^{+}{\ensuremath{\pi}}^{\ensuremath{-}}$ in perturbative QCD approach with Sudakov resummation. Since none quarks final states is same as those initial ${B}_{s}$ meson, can occur only via annihilation diagrams standard model. Besides current-current operators, contributions from electroweak penguin operators are also taken into account. We find that (a) branching ratio about...

We calculate the branching ratios and $CP$-violating asymmetries of four $B\ensuremath{\rightarrow}K{\ensuremath{\eta}}^{(\ensuremath{'})}$ decays in perturbative QCD (pQCD) factorization approach. Besides full leading-order contributions, partial next-to-leading-order (NLO) contributions from vertex corrections, quark-loops, chromomagnetic penguins are also taken into account. The NLO pQCD predictions for $CP$-averaged...

Abstract We improve the perturbative QCD (PQCD) formalism for multi-body charmless hadronic B meson decays, such as $$B\rightarrow VP_3 \rightarrow P_1P_2P_3$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>B</mml:mi> <mml:mo>→</mml:mo> <mml:mi>V</mml:mi> <mml:msub> <mml:mi>P</mml:mi> <mml:mn>3</mml:mn> </mml:msub> <mml:mn>1</mml:mn> <mml:mn>2</mml:mn> </mml:mrow> </mml:math> , by resolving possible discrepancy in parametrizing contribution of P -wave resonance...

Precise frequency detection is one of the key problems to be solved in a high‐accuracy transfer time and frequency. The solution this problem helpful improving precision phase noise measurement, atomic standard, synchronization, which plays strong role whole measurement physics fields. A analysis based on adaptive standard tracking are proposed for time–frequency signal processing without normalization. First, an generated by using FPGA control DDS measured signal. This can achieve...

In the standard model two-body charmless hadronic $B_c$ meson decays can occur via annihilation diagrams only. this work, we studied $B_c \to PP, PV/VP,VV$ by employing perturbative QCD (pQCD) factorization approach. From our calculations, find that (a) pQCD predictions for branching ratios of considered are in range $10^{-6}$ to $10^{-8}$; (b) PV/VP, VV$ decays, $\Delta S= 0$ much larger than those S =1$ ones because different Cabibbo-Kobayashi-Maskawa(CKM) factors involved; (c) analogous...

In this paper, we calculate the next-to-leading-order (NLO) twist-3 contribution to form factors of $B\ensuremath{\rightarrow}\ensuremath{\pi}$ transitions by employing ${k}_{T}$ factorization theorem. All infrared divergences regulated logarithms $\mathrm{ln}({k}_{iT}^{2})$ cancel between those from quark diagrams and effective for initial $B$ meson wave function final pion function. An finite NLO hard kernel is, therefore, obtained, which confirms application theorem semileptonic decays at...

In this paper, we study the three-body decays $$B^0/B^0_s \rightarrow \eta _c f_0(X)\rightarrow \pi ^+\pi ^-$$ by employing perturbative QCD (PQCD) factorization approach. We evaluate S-wave resonance contributions using two-pion distribution amplitude $$\Phi _{\pi }^\mathrm{S}$$ . The Breit–Wigner formula for $$f_0(500)$$ , $$f_0(1500)$$ and $$f_0(1790)$$ resonances Flatté model $$f_0(980)$$ are adopted to parameterize time-like scalar form factors $$F_{s}(\omega ^2)$$ also use Bugg compare...

In this work, we calculate the $CP$-averaged branching ratios and direct $CP$-violating asymmetries of quasi-two-body decays ${B}_{(s)}\ensuremath{\rightarrow}P{\ensuremath{\rho}}^{\ensuremath{'}}(1450),P{\ensuremath{\rho}}^{\ensuremath{'}\ensuremath{'}}(1700)\ensuremath{\rightarrow}P\ensuremath{\pi}\ensuremath{\pi}$ by employing perturbative QCD (PQCD) factorization approach, where $P$ is a light pseudoscalar meson $K$, $\ensuremath{\pi}$, $\ensuremath{\eta}$,...

We extend our recent works on the $P$-wave two-pion resonant contributions to kaon-pion cases in hadronic charmless $B$ meson decays by employing perturbative QCD approach. The concerned decay modes are analysed quasi-two-body framework parameterizing distribution amplitude $\Phi_{K \pi}^{\rm P}$, which contains final state interactions between kaon and pion region. relativistic Breit-Wigner formula for $K^*(892)$ is adopted parameterize time-like form factor $F_{K\pi}$. calculate...

Abstract We study the semileptonic decays using PQCD factorization approach with newly defined distribution amplitudes of meson and a new kind parametrization for extrapolating form factors which takes into account recent lattice QCD results. find following main results: (a) predictions branching ratios are smaller by about 5%-16% when results taken in extrapolation relevant factors; (b) ratio longitudinal polarization , ; (c) after including results, theoretical slightly change: . The agree...

Abstract The doubly charmed baryon was recently observed by LHCb via the decay processes of and . These discovery channels were successfully predicted in a framework which short-distance contributions are calculated under factorization hypothesis long-distance estimated using rescattering mechanism for final-state-interaction effects. In this paper, we illustrate above detail systematic studies on two-body baryonic decays involving baryons , singly light pseudoscalar mesons

We reanalyze the $\Lambda_b\to p$ transition form factors in perturbative QCD (PQCD) approach by including higher-twist light-cone distribution amplitudes (LCDAs) of a $\Lambda_b$ baryon and proton. The previous PQCD evaluation performed decades ago with only leading-twist proton LCDAs gave factors, which are two orders magnitude smaller than indicated experimental data. find that twist-4 -5 contribute dominantly, enhanced become consistent those from lattice other nonperturbative methods....

In this paper we consider two spectral realizations of the zeros Riemann zeta function. The first one involves all non-trivial (non-real) and is expressed in terms a Laplacian intimately related to prolate wave operator. second realization affects only critical it cast sheaf cohomology. novelty that base space Scaling Site playing role parameter for $\zeta$-cycles encoding their stability by coverings.

Abstract The scalars $$f_0$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msub> <mml:mi>f</mml:mi> <mml:mn>0</mml:mn> </mml:msub> </mml:math> closest to 1.5 GeV contain the mesons $$f_0(1370)$$ <mml:mrow> <mml:mo>(</mml:mo> <mml:mn>1370</mml:mn> <mml:mo>)</mml:mo> </mml:mrow> , $$f_0(1500)$$ <mml:mn>1500</mml:mn> and $$f_0(1710)$$ <mml:mn>1710</mml:mn> latter two ones are usually viewed as potential candidates for scalar glueballs. In this work, by including important...

We calculate the time-like $\rho$ electromagnetic (EM) form factor in $k_T$ factorization formalism by including next-to-leading-order (NLO) corrections of leading-twist and sub-leading twist contributions. It's observed that NLO correction to magnitude LO is lower than $30\%$ at large invariant mass squared $Q^2 > 30 \text{GeV}^2$. It found meson EM dominated twist-3 contribution instead twist-2 one because end-point enhancement. The theoretical predictions moduli three helicity amplitudes...

Abstract We calculate the time-like $$\rho $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>ρ</mml:mi> </mml:math> electromagnetic (EM) form factor in $$k_T$$ <mml:msub> <mml:mi>k</mml:mi> <mml:mi>T</mml:mi> </mml:msub> factorization formalism by including next-to-leading-order (NLO) corrections of leading-twist and sub-leading twist contributions. It’s observed that NLO correction to magnitude LO is lower than $$30\%$$ <mml:mrow> <mml:mn>30</mml:mn> <mml:mo>%</mml:mo>...

We investigate the form factors of ${B}_{c}$ meson into $S$-wave charmonium within nonrelativistic QCD effective theory and obtain next-to-leading order relativistic corrections to factors, where both are treated as bound states. Treating charm quark a light in limit ${m}_{c}/{m}_{b}\ensuremath{\rightarrow}0$, some identical at maximum recoil point, which consistent with predictions heavy-quark large-energy theory. Considering that branching ratios...

By employing the perturbative QCD (PQCD) factorization approach, we calculated branching ratios, CP-violating asymmetries, longitudinal and transverse polarization fractions other physical observables of thirteen charmless hadronic $\bar{B}^0_s \to V $ decays with inclusion all currently known next-to-leading order (NLO) contributions. We focused on examination effects those NLO contributions found that: (a) for measured $\bar{ B}_s^0 \phi \phi, K^{*0} \phi,\bar K^{*0}$ $\rho^0 \phi$, can...

In this paper, we studied the $B_{(s)} \to (D_{(s)},\bar{D}_{(s)}) \rho (D_{(s)}, \bar{D}_{(s)})\pi \pi$ decays by employing a framework for quasi-two-body in perturbative QCD (PQCD) factorization approach. We use two-pion distribution amplitudes $\Phi_{\pi\pi}$, which contains both resonant and nonresonant contributions from pion pair, to describe final state interactions (FSIs) between pions region. found that (a) all considered decays, PQCD predictions their branching ratios based on...