On the Motion of Heavy Quarks inside Hadrons: Universal Distributions and Inclusive Decays

Abstract

In previous papers we have pointed out that there exists a QCD analog of the phenomenological concept of the so called Fermi motion for the heavy quark inside a hadron. Here we show in a more detailed way how this comes about and we analyze the limitations of this concept. Non-perturbative as well as perturbative aspects are included. We emphasize both the similarities and the differences to the well-known treatment of deep inelastic lepton-nucleon scattering. We derive a model-independent {\em lower} bound on the kinetic energy of the heavy quark inside the hadron.

34 pages, Latex, 4 figures. Some clarifying comments and postscript files of figures are added

Cited by in corpus (237)

• Weak Decays Beyond Leading Logarithms
• An effective field theory for collinear and soft gluons: heavy to light decays
• Soft-Collinear Factorization in Effective Field Theory
• Summing Sudakov logarithms in B -> X_s + gamma in effective field theory
• Renormalons
• The Physics of the B Factories
• Weak Radiative Decays of the B Meson and Bounds on $M_{H^{\pm }}$ in the Two-Higgs-Doublet Model
• Flavor Physics in the Quark Sector
• Aspects Of Heavy Quark Theory
• Nonperturbative Corrections in Resummed Cross Sections
• Treating the b quark distribution function with reliable uncertainties
• Factorization and Shape-Function Effects in Inclusive B-Meson Decays
• 50 Years of Quantum Chromodynamics
• Sum Rules for Heavy Flavor Transitions in the SV Limit
• Direct CP Violation in B -> X_s gamma Decays as a Signature of New Physics
• Extraction of $|V_{cb}|$ from $B\to D^{(\ast )}\ell {\nu }_{\ell }$ and the Standard Model predictions of $R(D^{(\ast )})$
• Theory of Charmless Inclusive B Decays and the Extraction of V_{ub}
• Leptonic and Semileptonic Decays of Charm and Bottom Hadrons
• Present Status of Inclusive Rare B Decays
• Event shapes in e+e- annihilation and deep inelastic scattering
• Photon Energy Spectrum in $B\to X_s\gamma$ and Comparison with Data
• Rare $B$ Decays as Tests of the Standard Model
• Renormalization-Group Improved Calculation of the B->Xs+gamma Branching Ratio
• Semileptonic B_c-meson decays in sum rules of QCD and NRQCD
• Shape function effects in B -> X_s gamma and B -> X_u l nu decays
• Inclusive semileptonic B decays and the determination of |V_ub|
• Designing Gapped Soft Functions for Jet Production
• Factorization at Subleading Power and Irreducible Uncertainties in $\bar{B}\to X_s\gamma$ Decay
• Bremsstrahlung corrections to the decay $b\to s\gamma$
• Inclusive spectra in charmless semileptonic B decays by Dressed Gluon Exponentiation
• Imprecated, yet Impeccable: On the Theoretical Evaluation of Gamma(B -> X_c \ell ν)
• Power Corrections in the Decay Rate and Distributions in $B\to X_s{\ell }^{+}{\ell }^{-}$ in the Standard Model
• Subleading Shape Functions in Inclusive B Decays
• Quark Fragmentation within an Identified Jet
• $|V_{cb}|$ from OPE Sum Rules for Heavy Flavor Transitions
• Moments of semileptonic B decay distributions in the 1/m_b expansion
• Precision determination of |V_{ub}| from inclusive decays
• Hadron Spectra for Semileptonic Heavy Quark Decay
• Kinematic Enhancement of Non-Perturbative Corrections to Quarkonium Production
• Comment on nonperturbative effects in $B\to X_s\gamma$
• Two-loop QCD correction to differential semi-leptonic b --> u decays in the shape-function region
• Factorization for Power Corrections to B->Xs gamma and B-> Xu e nu
• $|V_{ub}|$ from exclusive $B$ and $D$ decays
• Non-Abelian Dipole Radiation and the Heavy Quark Expansion
• Comment on Quark Masses in SCET
• Improved Measurement of |V_ub| with Inclusive Semileptonic B Decays
• Extracting V_{ub} Without Recourse to Structure Functions
• New Physics at a Super Flavor Factory
• Nonperturbative Effects in $\bar{B}\to X_s{l}^{+}{l}^{-}$ for Large Dilepton Invariant Mass
• Challenges in Semileptonic B Decays
• NNLO corrections to inclusive semileptonic B decays in the shape-function region
• Light-cone sum rules in soft-collinear effective theory
• The Extraction of $V_{ub}$ from Inclusive B Decays and the Resummation of End Point Logs
• V_{ub} from the Hadronic Invariant Mass Spectrum in Semileptonic B Decay
• Power corrections to B\to X_u l ν(X_sγ) decay spectra in the "shape-function" region
• The B -> X_s gamma Photon Spectrum
• Non-factorization effects in heavy mesons and determination of |V_{ub}| from inclusive semileptonic B decays
• Distributions of leptons in decays of polarised heavy quarks
• A Vademecum on Quark-Hadron Duality
• Two-loop Jet-Function and Jet-Mass for Top Quarks
• On the Problem of Boosting Nonleptonic b Baryon Decays
• Quarkonium momentum distributions in photoproduction and B decay
• On the photon energy moments and their `bias' corrections in B -> X_s+γ
• Penguin Diagrams, Charmless B-Decays and the ``Missing Charm Puzzle''
• A Model Independent Determination of |V_{ub}|
• Phenomenology of the $1/m_Q$ Expansion in Inclusive $B$ and $D$ Meson Decays
• Semi-Inclusive B Decays and a Model for Soft-Gluon Effects
• Measurement of the Inclusive Electron Spectrum in Charmless Semileptonic B Decays Near the Kinematic Endpoint and Determination of |Vub|
• Subleading Power Factorization with Radiative Functions
• Hadronic Spectral Moments in Semileptonic B Decays With a Lepton Energy Cut
• Inclusive Measure of |V_ub| with the Analytic Coupling Model
• Enhanced subleading structure functions in semileptonic B decay
• Resummed Photon Spectra for WIMP Annihilation
• Light-cone distribution functions for B decays at subleading order in 1/mb
• Enhanced Non-local Power Corrections to the B->X_s+gamma Decay Rate
• Advanced Predictions for Moments of the B->X_s+gamma Photon Spectrum
• CP violation and the CKM matrix
• Subleading shape functions in B -> X_u l νand the determination of |Vub|
• NNLO corrections to B --> X_u l nu in the shape-function region
• On the quark distribution in an on-shell heavy quark and its all-order relations with the perturbative fragmentation function
• Magnetic dipole operator contributions to the photon energy spectrum in anti-B -> X(s) gamma at O(alpha(s)^2)
• Failure of Local Duality in Inclusive Non-Leptonic Heavy Flavour
• Measurement of |V_ub| near the endpoint of the electron momentum spectrum from semileptonic B-meson decays
• The CKM Parameters
• Spectator Effects in the Heavy Quark Effective Theory
• Renormalized sum rules for structure functions of heavy mesons decays
• Two-Loop Relations for Heavy-Quark Parameters in the Shape-Function Scheme
• Loop Corrections to Heavy-to-Light Form Factors and Evanescent Operators in SCET
• Theoretical Uncertainties in Gamma_sl(b->u)
• Resummation in hard QCD processes
• Perturbative Prediction for Parton Fragmentation into Heavy Hadron
• Hybrid Charmonium Production in B Decays
• Moments of lepton spectrum in B decays and the $m_b-m_c$ quark mass difference
• Revisiting Inclusive Decay Widths of Charmed Mesons
• The Mass of the b Quark
• Key Distributions for Charmless Semileptonic B Decay
• Extracting |V_{ub}| from the Hadronic Mass Spectrum of Inclusive B decays
• Semileptonic width ratios among beauty hadrons
• Precise predictions for B -> Xc tau nu decay distributions
• Four-fermion heavy quark operators and light current amplitudes in heavy flavor hadrons
• Radiative B decay spectrum: DGE at NNLO
• Precision Studies of Duality in the 't Hooft Model
• String formation and chiral symmetry breaking in the heavy-light quark-antiquark system in QCD
• The Octet Structure Function and Radiative Quarkonia Decay
• Lifetimes of singly charmed hadrons
• Model independent determination of the shape function for inclusive B decays and of the structure functions in DIS
• On the $O({\alpha }_s^2)$ corrections to $b\to X_{u}e\bar{\nu }$ inclusive decays
• Average Kinetic Energy of Heavy Quark and Virial Theorem
• New Heavy Quark Limit Sum Rules involving Isgur-Wise Functions and Decay Constants
• Proposal for a Precision Measurement of |Vub|
• Chromomagnetic Dipole-Operator Corrections in Bbar -> X_sgamma at O(beta_0 alpha_s^2)
• Michel decay spectrum for a muon bound to a nucleus
• How to Measure Kinetic Energy of the Heavy Quark Inside B Mesons?
• Subleading Shape Functions and the Determination of |V_{ub}|
• Decay Constants and Semileptonic Decays of Heavy Mesons in Relativistic Quark Model
• Resummed B -> X_u l nu Decay Distributions to Next-to-Leading Order
• Angular Distribution and Polarization of Photons in the Inclusive Decay ${\Lambda }_b\to X_s\gamma$
• Power suppressed effects in B-> X_s gamma at O(alpha_s)
• Shape-Function Effects and Split Matching in B-> Xs l+ l-
• Determinations of |Vub| from Inclusive Semileptonic B Decays with Reduced Model Dependence
• Note on the Extraction of |V_{ub}| using Radiative B Decays
• The Resummed Rate for B -> X_s gamma
• The structure function of semi-inclusive heavy flavour decays in field theory
• Measurement of the inclusive electron spectrum from B meson decays and determination of |Vub|
• Probing penguin coefficients with the lifetime ratio tau(B_s)/tau(B_d)
• A Comment on the Extractions of V_{ub} from Radiative Decays
• A two-loop relation between inclusive radiative and semileptonic B-decay spectra
• Three-loop soft function for heavy-to-light quark decays
• Flavor Physics and CP Violation
• Precision Global Determination of the $B\to X_s\gamma$ Decay Rate
• Full-Phase-Space Twist Expansion in Semileptonic and Radiative B-Meson Decays
• Taming the B --> X(s) gamma spectrum by Dressed Gluon Exponentiation
• B Meson Decays
• On The Expected Photon Spectrum in B -> X_s + gamma and Its Uses
• Subleading shape function contributions to the hadronic invariant mass spectrum in B -> X_u l νdecay
• NNVub: a Neural Network Approach to $B\to X_u\ell \nu$
• Radiative and semi-leptonic B-meson decay spectra: Sudakov resummation beyond logarithmic accuracy and the pole mass
• Theoretical Review of B-physics
• Bound muon decay spectrum in the leading logarithmic accuracy
• Universality and m_X cut effects in B -> Xs l+ l-
• Average Kinetic Energy of Heavy Quark in Semileptonic B Decay
• On the Resummed Hadronic Spectra of Inclusive B Decays
• PQCD analysis of inclusive semileptonic decays of B mesons
• Magnetic string contribution to hadron dynamics in QCD
• Nonperturbative m_X cut effects in B -> Xs l+ l- observables
• The Mass Definition in Hqet and a New Determination of V${}_{\text{cb}}$
• Status of SM calculations of b > s transitions
• Perturbative corrections to the determination of Vub from the P+ spectrum in B->X_u l nu
• Kinematic Effects in Radiative Quarkonia Decays
• Chiral Condensate, Master Field and all that in $QC{D}_2(N\to \infty )$
• Shape Function Effects in B -> X_c l ν_l
• A new model-independent way of extracting |V_ub/V_cb|
• Factorization of Boosted Multijet Processes for Threshold Resummation
• B^+ --> D^{*+}_s gamma and B^+ --> D^{*+} gamma as Probes of V_{ub}
• Running-coupling effects in the triple-differential charmless semileptonic decay width
• Comparing B -> X_u l nu_l to B -> X_s gamma
• Can $B->X_c\ell \nu$ help us extract |V_{ub}| ?
• NNLO corrections to B --> X_u l nu and the determination of |V_ub|
• Shape-function independent relations of charmless inclusive B-decay spectra
• Impact of Four-Quark Shape Functions on Inclusive B Decay Spectra
• Perturbative corrections to power suppressed effects in $\bar{B}\to X_u\ell \nu$
• Study of singly heavy baryon lifetimes
• Heavy Quark Expansion and Preasymptotic Corrections to Decay Widths in the 't Hooft Model
• Momentum Distribution in the Decay B-->J/psi+X
• The Average Kinetic Energy of the Heavy Quark in ${\Lambda }_b$ in the Bethe-Salpeter Equation Approach
• Exclusive and inclusive weak decays of the B-meson
• What are the right values of $\bar{\Lambda }$ and the heavy quark kinetic energy?
• Improved Determination of |V_{ub}| from Inclusive Semileptonic B-Meson Decays
• Brief review on semileptonic B decays
• A new method of determining $|V_{ub}|$ by the processes $\bar{B}\to \rho l\bar{\nu }$ and $\bar{B} \to K^* l \lbar$
• Nonperturbative QCD Contributions to the Semileptonic Decay Width of the B Meson
• More Conservation Laws and Sum Rules in the Heavy Quark Limit
• Quark-hadron duality at work: lifetimes of bottom baryons
• Cancellation of Sudakov Logarithms in Radiative Decays of Quarkonia
• Towards the Anomalous Dimension to Order Lambda_QCD/m_b for Phase Space Restricted B --> X(u) ell anti-nu and B --> X(s) gamma
• $V_{ub}$ from the Hadron Energy Spectrum in Inclusive Semileptonic B Decays
• Third order correction to semileptonic $b\to u$ decay: fermionic contributions
• Transverse Momentum Distributions in B-Decays
• Single Spin Asymmetry in Open Charm Photoproduction and Decay as a Test of pQCD
• Quark-binding effects in inclusive decays of heavy mesons
• Complementary Observables for the Determination of |Vub| in Inclusive Semileptonic B Decays
• A connection between inclusive semileptonic decays of bound and free heavy quarks
• Shape Functions from B -> X_c \ell ν
• Instanton Contribution to $B\to X_{u}e\bar{\nu }$ Decay
• Next-to-leading resummed coefficient function for the shape function
• Instantons and the endpoint of the lepton energy spectrum in charmless semileptonic $B$ decays
• Motion of b-quark inside B meson: the Parton Model vs. the ACCMM Model
• Determination of V_ub from semileptonic B decays
• Reparametrization Invariance in Inclusive Decays of Heavy Hadrons
• The Parton Model Approach to Inclusive B meson Decays
• Resummation of large corrections in inclusive $B$ meson decays
• Subleading Shape-Function Effects and the Extraction of |V_ub|
• The photon energy spectrum in $B\to X_s\gamma$ at N${}^3$LL${}^{\prime }$
• Heavy-quark binding and kinetic energies in heavy-light mesons and the constituent quark model
• Beauty Physics in the Next 15 Years -- an Itinerary for a Long Journey towards an Essential Goal
• The non-perturbative corrections to the $\bar{B}\to X_s\gamma$ photon spectrum in a parton-like model
• Radiatively corrected shape function for inclusive heavy hadron decays
• On the Determination of $|V_{ub}|$ from Inclusive Semileptonic Decay Spectra
• Nonresonant Semileptonic Heavy Quark Decay
• Determining |V_{ub}| from the sum rule for semileptonic B decay
• Determining V(ub) from B+ --> D*+(s) e+ e- and B+ --> D*+ e+ e-
• Extracting |V_{ub}| from the inclusive charmless semileptonic branching ratio of b hadrons
• Strong interaction effects in semileptonic B decays
• Shape function in QED and bound muon decays
• Heavy Quark Effective Theory and Inclusive B Decays
• 1/m_b^2 correction to the left-right lepton polarization asymmetry in the decay B -> X_s mu^+ mu^-
• Shape and soft functions of HQET and SCET in the 't Hooft Model
• Theory of Inclusive B Decays
• Hadronic Invariant Mass Spectrum in B -> X_u l nu Decay with Lepton Energy Cut
• A New Model-independent Method of Determining |V_{ub}/V_{cb}|
• Subleading Light-cone distributions functions in the decays Lambda(b) --> X(s) Gamma and Lambda(b) --> X(u) Lepton Anti-Nu
• Unravelling soft components in the shape function for inclusive B decays
• Comparative analysis of non-perturbative effects in B -> X_u l anti-nu_l decays
• Effective Theory for Heavy Quarks
• Theory of Inclusive B Decays
• Progress in computing inclusive B decay spectra
• Master Integrals for double real radiation emission in heavy-to-light quark decay
• Light Rays of New Physics: CP Violation in B -> Xs gamma Decays
• Measurement of $V_{ub}$
• Vub extraction using the Analytic Coupling model
• On the strong-coupling effects in jet bremsstrahlung in the heavy flavor decays
• The $1/m_Q$ Expansion in QCD: Introduction and Overview
• Determination of V_ub at the Z-boson resonance
• A model for the B ---> X_{s}+γdecay in the chromomagnetic background
• Selected Theoretical Issues in B-meson Physics: CKM matrix and Semileptonic Decays
• Measurements of |Vub| and |Vcb| from CLEO
• Matrix elements of $\Delta B=0$ operators in heavy hadron chiral perturbation theory
• Non-perturbative Effects in $B\to X_s{l}^{+}{l}^{-}$
• On magnitudes of some CKM matrix elements
• Potential and limitations of machine-learning approaches to inclusive $|V_{ub}|$ determinations
• Semileptonic B decays and the inclusive determination of |V(ub)|
• |V_{cb}| and |V_{ub}| Determinations from Inclusive Semileptonic B Decays
• Radiative Upsilon Decay at the Endpoint
• $B\to X_{c(u)}\ell {\bar{\nu }}_{\ell }\gamma$ and determination of non-perturbative parameters
• High order perturbative corrections to the determination of |Vub| from the P+ spectrum in B -> Xu l nu
• Transverse Momentum Distribution in b-> s Gamma
• Measuring of $|V_{ub}|$ in the forthcoming decade