Extraction of $V_{ub}$ from the Decay $B\to \pi l\nu$

Abstract

We develop the perturbative QCD formalism including Sudakov effects for semi-leptonic $B$ meson decays. We evaluate the differential decay rate of $B\to \pi l\nu$, and find that the perturbative calculation is reliable for the energy fraction of the pion above 0.3. Combining predictions from the soft pion theorems, we extract the value of the matrix element $|V_{ub}|$ which is roughly $2.7\times 10^{-3}$.

10 pages, CCUTH-94-05, IP-ASTP-13-94

References in corpus (1)

• The Decay $B\to \pi \ell \nu$ in Heavy Quark Effective Theory

Cited by in corpus (174)

• Penguin Enhancement and $B\to K\pi$ decays in perturbative QCD
• Fat penguins and imaginary penguins in perturbative QCD
• Branching Ratio and CP Violation of B to pi pi Decays in Perturbative QCD Approach
• Physics at Super B Factory
• Leading-power contributions to $B\to \pi ,\rho$ transition form factors
• Resolution to the B -> pi K puzzle
• Nonleptonic charmless B decays: factorization vs perturbative QCD
• Threshold resummation for exclusive B meson decays
• Factorization theorems, effective field theory, and nonleptonic heavy meson decays
• Charming Penguins Strike Back
• Next-to-leading-order corrections to $B\to \pi$ form factors in $k_T$ factorization
• Semileptonic decays $B_c\to ({\eta }_c,J/\Psi )l\nu$ in the perturbative QCD approach
• The semileptonic decays $B/B_s\to (\pi ,K)(l^{+}{l}^{-},l\nu ,\nu \bar{\nu })$ in the perturbative QCD approach beyond the leading-order
• Applicability of Perturbative QCD to $B\to D$ Decays
• Three-body nonleptonic B decays in perturbative QCD
• $B\to D^{(\ast )}$ form factors in perturbative QCD
• Heavy-to-light form factors on the light cone
• Polarizations in B -> VV decays
• CP Violation in the B System and Relations to $K\to \pi \nu \bar{\nu }$ Decays
• Nonfactorizable contributions to $B\to D^{(\ast )}M$ decays
• Branching ratio and CP asymmetry of $B_s\to {\pi }^{+}{\pi }^{-}$ decays in the perturbative QCD approach
• Perturbative QCD analysis of $B\to \varphi K$ decays and Power counting
• Threshold resummation for nonleptonic B meson decays
• Perturbative QCD factorization of $\pi {\gamma }^{\ast }\to \gamma (\pi )$ and $B\to \gamma (\pi )l\bar{\nu }$
• The systematic study of $B\to \pi$ form factors in pQCD approach and its reliability
• Resolution to the $B\to \varphi K^{\ast }$ polarization puzzle
• $k_T$ factorization of exclusive processes
• Pion transition form factor in k_T factorization
• Improved approach to the heavy-to-light form factors in the light-cone QCD sum
• Nonfactorizable contributions to $B$ meson decays into charmonia
• Semileptonic decays of $B_c$ meson to S-wave charmonium states in the perturbative QCD approach
• Twist-3 distribution amplitudes of scalar mesons from QCD sum rules
• S-wave ground state charmonium decays of $B_c$ mesons in the perturbative QCD approach
• Final state interaction and $B\to KK$ decays in perturbative QCD
• Wave functions and decay constants of $B$ and $D$ mesons in the relativistic potential model
• Next-to-leading-order correction to pion form factor in $k_T$ factorization
• A Model for the Twist-3 Wave Function of the Pion and Its Contribution to the Pion Form Factor
• Gluonic contribution to $B\to {\eta }^{(\prime )}$ form factors
• Vector-pseudoscalar two-meson distribution amplitudes in three-body $B$ meson decays
• Λ_b \to ΛJ/ψdecay in perturbative QCD
• Next-to-leading-order corrections to exclusive processes in $k_T$ factorization
• Using Line Shapes to Discriminate between Binding Mechanisms for the X(3872)
• The NLO twist-3 contributions to $B\to \pi$ form factors in $k_T$ factorization
• $B$ meson wave function in $k_T$ factorization
• MSSM Anatomy of the Polarization Puzzle in B --> phi K* Decays
• Resummation of rapidity logarithms in $B$ meson wave functions
• The S-wave resonance contributions in the $B_s^0$ decays into $\psi (2S,3S)$ plus pion pair
• $B->\pi l\nu$ Form Factors Calculated on the Light-Front
• Resummation in hard QCD processes
• Neutral Higgs boson contributions to CP asymmetry of $B\to \Phi K_S$ in MSSM
• Evading the CKM Hierarchy: Intrinsic Charm in B Decays
• CP asymmetries in $B\to \varphi K_S$ and $B\to {\eta }^{\prime }{K}_S$ in MSSM
• Consistent Analysis of the $B\to \pi$ Transition Form Factor in the Whole Physical Region
• Study of color suppressed modes $B^0\to {\bar{D}}^{(\ast )0}{\eta }^{(\prime )}$
• Branching Ratio and Polarization of $B\to \rho (\omega )\rho (\omega )$ Decays in Perturbative QCD Approach
• CP Asymmetry, Branching ratios and Isospin breaking effects in B-> rho gamma and B-> omega gamma decays with the pQCD approach
• $B\to \varphi K$ and $B\to \varphi X_s$ in the Heavy Quark Limit
• Semileptonic decays $B/B_s \to (η,\etar, G)(l^+l^-,l\barν,ν\barν)$ in the perturbative QCD approach beyond the leading order
• Determination of the pion distribution amplitude
• Applicability of perturbative QCD to ${\Lambda }_b\to {\Lambda }_c$ decays
• ${\Lambda }_b\to p$ transition form factors in perturbative QCD
• Branching ratio and CP violation of $B_s\to \pi K$ decays in the perturbative QCD approach
• Hochschild homology, trace map and $\zeta$-cycles
• Charmless two-body $B$ meson decays in perturbative QCD factorization approach
• Perturbative QCD study of $B\to D^{(\ast )}$ decays
• The ${\Lambda }_b\to pl\bar{\nu }$ decay in perturbative QCD
• Exclusive Decays of $B\to K^{(\ast )}{l}^{+}{l}^{-}$ in the PQCD
• Searching For New Physics With B to K pi Decays
• The NLO twist-3 contribution to the pion electromagnetic form factors in $k_T$ factorization
• Polarization, CP Asymmetry and Branching ratios in B \to K^* K^* with Perturbative QCD approach
• Searching for New Physics in b to s Hadronic Penguin Decays
• Operator product expansion for B-meson distribution amplitude and dimension-5 HQET operators
• Two-parton twist-3 factorization in perturbative QCD
• Improved perturbative QCD formalism for $B_c$ meson decays
• $P$-wave contributions to $B\to \psi \pi \pi$ decays in perturbative QCD approach
• Four-body decays $B_{(s)}\to (K\pi {)}_{S/P}(K\pi {)}_{S/P}$ in the perturbative QCD approach
• Direct CP Violation in Hadronic B Decays
• Semileptonic decays $B_c^{+}\to D_{(s)}^{(\ast )}(l^{+}\nu ,l^{+}{l}^{-},\nu \bar{\nu })$ in the perturbative QCD approach
• Exploring Final State Hadron Structure and SU(3) Flavor Symmetry Breaking Effects in D->PP and D->PV Decays
• B meson wave function from the $B\to \gamma l\nu$ decay
• Single-spin asymmetries at two loops
• Studies of the resonance components in the $B_s$ decays into charmonia plus kaon pair
• Uncertainty in the leading order PQCD calculations of $B$ meson decays
• Branching Ratio and CP Asymmetry of $B_s\to \rho (\omega )K$ Decays in the Perturbative QCD Approach
• Isovector scalar $a_0(980)$ and $a_0(1450)$ resonances in the $B\to \psi (K\bar{K},\pi \eta )$ decays
• B_s \to ρ(ω) K^* with Perturbative QCD approach
• Revisiting the annihilation decay ${\bar{B}}_s\to {\pi }^{+}{\pi }^{-}$
• $B^0\to \omega {\eta }^{(\prime )}$ and $\varphi {\eta }^{(\prime )}$ decays in the perturbative QCD approach
• Global Analysis of hadronic two-body B decays in the perturbative QCD approach
• $S$, $P$ and $D$-wave resonance contributions to $B_{(s)}\to {\eta }_c(1S,2S)K\pi$ decays in the perturbative QCD approach
• PQCD analysis of inclusive semileptonic decays of B mesons
• Next-to-leading-logarithm $k_T$ resummation for $B_c\to J/\psi$ decays
• The double charm decays of $B_c$ Meson in the Perturbative QCD Approach
• Study of $B_s\to \pi \rho$ decays in the perturbative QCD approach
• Transverse Momentum Dependent Factorization for Radiative Leptonic Decay of B-Meson
• $B\to K_0^{\ast }(1430)K$ decays in the perturbative QCD approach
• Gauge Invariance and k_T-Factorization of Exclusive Processes
• Branching ratios, $CP$ asymmetries and polarizations of $B\to \psi (2S)V$ decays
• Evolution equation for the B-meson distribution amplitude in the heavy-quark effective theory in coordinate space
• Comment on "Gauge Invariance and $k_T$-Factorization of Exclusive Processes"
• Perturbative approach to the penguin-induced $B\to \pi \varphi$
• QCD aspects of exclusive B meson decays
• A study on the rare radiative decay $B_c\to D_s^{\ast }\gamma$
• $B\to K{K}^{\ast }$ Decays in the Perturbative QCD Approach
• Reinvestigating the $B$ $\to$ $PP$ decays by including the contributions from ${\varphi }_{B2}$
• Rare decays of B-> J/ψD^(*) and B->η_c D^(*)in pQCD Approach
• Transverse Momentum Dependent Light-Cone Wave Function of B-Meson and Relation to the Momentum Integrated One
• B\to πϕin SM and MSSM
• Implications of new data in charmless B decays
• Branching ratio and CP violation of $B_c\to DK$ decays in the perturbative QCD approach
• Perturbative QCD study of the B-> K^* gamma decay
• Charmless $B_s\to PP,PV,VV$ Decays Based on the six-quark Effective Hamiltonian with Strong Phase Effects II
• Branching Ratios and CP Violations of B \to K_0^*(1430) K^* Decays in the pQCD Approach
• Exclusive processes $e^{+}{e}^{-}\to VP$ in $k_T$ factorization
• $P$-wave contributions to $B_{(s)}\to \psi K\pi$ decays in perturbative QCD approach
• Weak phases from topological-amplitude parametrization
• Kaon Electromagnetic Form Factor within the $k_T$ Factorization Formalism and It's Light-Cone Wave Function
• Okubo-Zweig-Iizuka-rule violation and B\to η^{(\prime)}K branching ratios
• Direct CP Violation in Untagged B-Meson Decays
• Resummation with Wilson lines off the light cone
• Space- and time-like electromagnetic pion form factors in light-cone pQCD
• Study of the $K_1(1270)-K_1(1400)$ mixing in the decays $B\to J/\Psi K_1(1270),J/\Psi K_1(1400)$
• The PQCD approach towards to next-to-leading order: a short review
• Study of B_{c}\to J/ψK decays in the perturbative QCD approach
• Charmless $B\to PP,PV,VV$ Decays Based on the six-quark Effective Hamiltonian with Strong Phase Effects
• $B\to a_1(1260)a_1(1260)$ and $b_1(1235)b_1(1235)$ decays in the perturbative QCD approach
• Three-parton contribution to the $B\to \pi$ form factors in $k_T$ factorization
• Restoration of $k_T$ factorization for low $p_T$ hadron hadroproduction
• Exclusive semileptonic $B_c$-meson decays to radially excited charmonium and charm meson states
• Large Strong Phases and CP Violation in the Annihilation Processes ${\bar{B}}^0\to K^{+}{K}^{-}$, $K^{\ast \pm }{K}^{\mp }$, $K^{\ast +}{K}^{\ast -}$
• CP asymmetry in B \to phi K_S in a SUSY SO(10) GUT
• Nonleptonic decays of $B\to (f_1(1285),f_1(1420))V$ in the perturbative QCD approach
• Space-and Time-like Electromagnetic Kaon Form Factors
• Study on the rare radiative decay $B_c\to D_s^{\ast }\gamma$ in the standard model and multiscale walking technicolor model
• Transverse-Momentum Dependent Factorization for gamma^* pi^0 to gamma
• Light-Cone HQET Sum Rules for the B --> pi Transition with 1/m_Q Corrections
• Perturbative QCD Analysis of Exclusive Processes $e^{+}{e}^{-}\to VP$ and $e^{+}{e}^{-}\to TP$
• Penguin-dominated $B\to \varphi K_1(1270)$ and $\varphi K_1(1400)$ decays in the perturbative QCD approach
• Form factors for $B-->\pi l\nu$ decay in a model constrained by chiral symmetry and quark model
• Resummation of large corrections in inclusive $B$ meson decays
• Calculation of the Branching Ratio of $B^{-}\to h_c+K^{-}$ in PQCD
• Sudakov effects in BBNS approach
• The double charm decays of B Mesons in the mSUGRA model
• Factorization and hadronic B decays in the heavy quark limit
• Semi-Inclusive B\to K(K^*) X Decays with Initial Bound State Effects
• Reinvestigating the $B$ $\to$ $PV$ decays by including the contributions from ${\varphi }_{B2}$ with the perturbative QCD approach
• Renormalization-Group Evolution of the None-local Matrix Element of $B$-meson In QCD and $B\to \pi$ transition form factor
• The decays $B\to \Psi (2S)\pi (K),{\eta }_c(2S)\pi (K)$ in the pQCD approach beyond the leading-order
• Revisiting $B\to K^{\ast }\pi$ and $B\to K\rho$ decays using the modified perturbative QCD approach
• Non-leptonic annihilation decays of B mesons with a natural infrared cutoff
• Weak Decay Process of $B\to \rho \ell {\bar{\nu }}_{\ell }$: A Varying External Field Approach in QCD Sum Rules
• Branching ratios and $CP$ asymmetries of $B\to {\chi }_{c1}K(\pi )$ decays
• Exclusive production of $B_c$ mesons in $e^{+}{e}^{-}$ colliders
• Revisiting nonfactorizable contributions to factorization-forbidden decays of $B$ mesons to charmonium
• $B_u$ $\to$ $\psi M$ decays and $S$-$D$ wave mixing effects
• B-Meson Wave Function through A Comparative Analysis of the $B\to \pi$, $K$ Transition Form Factors
• QCD Approach to B->D πDecays and CP Violation
• Revisiting the $B^0\to {\pi }^0{\pi }^0$ decays in the perturbative QCD approach
• Study of $B_c\to \psi (2S)K$, ${\eta }_c(2S)K$, $\psi (3770)K$ decays with perturbative QCD approach
• CP violation of the two-body charmless hadronic B decays in the minimal supergravity Model
• 1/m_Q corrections in heavy meson decays
• Next-to-Leading-logarithm threshold resummation for exclusive $B$ meson decays
• Estimates of the isospin-violating ${\Lambda }_b\to {\Sigma }^0\varphi ,{\Sigma }^{0}J/\psi$ decays and the $\Sigma -\Lambda$ mixing
• $B\to K$ Transition Form Factor with Tensor Current within the $k_T$ Factorization Approach
• Possibility of experimental study on nonleptonic $B_c^{\ast }$ weak decays
• PQCD approach to exclusive B decays
• Study of the ${\rm Y}(1S)$ $\to$ $DP$ decays
• Taming the end-point singularities in heavy-to-light decays
• Study of $C$ parity violating and strangeness changing $J/\psi$ $\to$ $PP$ weak decays
• $B$ to light meson form factors with end-point cutoff
• Intrinsic Charm in B-Meson Decays
• Branching fraction, $CP$ asymmetry, and polarization in $B\to \rho \rho$ decays with the modified perturbative QCD approach
• Study of $B_c\to J/\psi (a_1(1260)$, $b_1(1235)$, $a_2(1320)$, $K_2^{\ast }(1430))$ decay with a perturbative QCD approach
• Phenomenological analysis of charmless $B\to PV$ decays in the modified perturbative QCD approach