Precision calculations of $B_{d,s}\to \pi ,K$ decay form factors in soft-collinear effective theory

Abstract

We improve QCD calculations of the $B_{d,s}\to \pi ,K$ form factors at large hadronic recoil by implementing the next-to-leading-logarithmic resummation for the obtained leading-power light-cone sum rules in the soft-collinear effective theory (SCET) framework. Additionally, we endeavour to investigate a variety of the subleading-power contributions to these heavy-to-light form factors at $\mathcal{O}({\alpha }_s^0)$, by including the higher-order terms in the heavy-quark expansion of the hard-collinear quark propagator, by evaluating the desired effective matrix element of the next-to-leading-order term in the $\mathrm{SCE}{\mathrm{T}}_{\mathrm{I}}$ representation of the weak transition current, by taking into account the off-light-cone contributions of the two-body heavy-quark effective theory matrix elements as well as the three-particle higher-twist corrections from the subleading bottom-meson light-cone distribution amplitudes, and by computing the twist-five and twist-six four-body higher-twist effects with the aid of the factorization approximation. Having at our disposal the SCET sum rules for the exclusive $B$-meson decay form factors, we further explore in detail numerical implications of the newly computed subleading-power corrections by employing the three-parameter model for both the leading-twist and higher-twist $B$-meson distribution amplitudes. Taking advantage of the customary Bourrely-Caprini-Lellouch parametrization for the semileptonic $B_{d,s}\to \pi ,K$ form factors, we then determine the correlated numerical results for the interesting series coefficients, by carrying out the simultaneous fit of the exclusive $B$-meson decay form factors to both the achieved SCET sum rule predictions and the available lattice QCD results.

arXiv comment74 pages, 15 figures

References in corpus (110)

• An effective field theory for collinear and soft gluons: heavy to light decays
• New Results on B->pi, K, eta Decay Formfactors from Light-Cone Sum Rules
• FLAG Review 2021
• Symmetry-breaking corrections to heavy-to-light B meson form factors at large recoil
• Higher Twist Distribution Amplitudes of Vector Mesons in QCD: Formalism and Twist Three Distributions
• Chiral Multiplets of Heavy-Light Mesons
• Charm-loop effect in $B\to K^{(\ast )}{\ell }^{+}{\ell }^{-}$ and $B\to K^{\ast }\gamma$
• $D^{\ast }D\pi$ and $B^{\ast }B\pi$ couplings in QCD
• Heavy Quark Effective Theory beyond Perturbation Theory: Renormalons, the Pole Mass and the Residual Mass Term
• The Pole Mass of The Heavy Quark. Perturbation Theory and Beyond
• Asymptotics of Heavy-Meson Form Factors
• The Uses of Conformal Symmetry in QCD
• The Rare Decays $K\to \pi \nu \bar{\nu }$, $B\to X\nu \bar{\nu }$ and $B\to l^{+}{l}^{-}$ -- An Update
• Constraints on Form Factors For Exclusive Semileptonic Heavy to Light Meson Decays
• A quark mass definition adequate for threshold problems
• Two-Loop Electroweak Corrections for the K -> pi nu anti-nu Decays
• Multipole-expanded soft-collinear effective theory with non-abelian gauge symmetry
• QCD corrections to FCNC decays mediated by Z-penguins and W-boxes
• Precision Corrections to Dispersive Bounds on Form Factors
• Higher Twist Distribution Amplitudes of Vector Mesons in QCD: Twist-4 Distributions and Meson Mass Corrections
• The B-Meson Distribution Amplitude in QCD
• Factorization of heavy-to-light form factors in soft-collinear effective theory
• $B\to P$ and $B\to V$ Form Factors from $B$-Meson Light-Cone Sum Rules beyond Leading Twist
• QCD Sum Rules, a Modern Perspective
• Form Factors from Light-Cone Sum Rules with B-Meson Distribution Amplitudes
• Exclusive rare B -> K*e+e- decays at low recoil: controlling the long-distance effects
• $B\to K{\ell }^{+}{\ell }^{-}$ decay at large hadronic recoil
• Sudakov Form Factors
• Nonleptonic charmless B decays: factorization vs perturbative QCD
• QCD Calculation of the $B\to \pi ,K$ Form Factors
• Light-cone sum rules for $B\to \pi$ form factors revisited
• $B\to \pi \ell {\nu }_l$ Width and $|V_{ub}|$ from QCD Light-Cone Sum Rules
• Light Cone Sum Rules for the pi0-gamma*-gamma Form Factor Revisited
• $B\to \pi \ell \nu$ and $B_s\to K\ell \nu$ form factors and $|V_{ub}|$ from 2+1-flavor lattice QCD with domain-wall light quarks and relativistic heavy quarks
• $B\to K{l}^{+}{l}^{-}$ decay form factors from three-flavor lattice QCD
• B meson light-cone distribution amplitudes in the heavy-quark limit
• Pion Form Factor in QCD at Intermediate Momentum Transfers
• Decay constants of heavy-light vector mesons from QCD sum rules
• Two-loop renormalization of the effective field theory of a static quark
• The Decay B --> K l^+ l^- at Low Hadronic Recoil and Model-Independent Delta B = 1 Constraints
• Light-Cone Distribution Amplitudes for Heavy-Quark Hadrons
• B meson distribution amplitude from B --> γl ν
• Theoretical and Phenomenological Constraints on Form Factors for Radiative and Semi-Leptonic B-Meson Decays
• QCD corrections to $B\to \pi$ form factors from light-cone sum rules
• Radiative Corrections to the Decay $B\to \pi e\nu$ and the Heavy Quark Limit
• Lattice-Constrained Unitarity Bounds for ${\bar{B}}^0\to {\pi }^{+}{l}^{-}{\bar{\nu }}_l$ Decays
• The Residual Mass Term in the Heavy Quark Effective Theory
• Perturbative QCD Correction to the $B\to \pi$ Transition Form Factor
• $B_s\to K\ell \nu$ form factors from lattice QCD
• Perturbative Corrections to ${\Lambda }_b\to \Lambda$ Form Factors from QCD Light-Cone Sum Rules
• $B$-Meson Distribution Amplitude from the $B\to \pi$ Form Factor
• $B_s\to K\ell {\nu }_{\ell }$ and $B_{(s)}\to \pi (K){\ell }^{+}{\ell }^{-}$ decays at large recoil and CKM matrix elements
• Radiative leptonic decay $B\to \gamma \ell {\nu }_{\ell }$ with subleading power corrections
• Perturbative QCD Correction to the Light-Cone Sum Rule for the $B^{\ast }B\pi$ and $D^{\ast }D\pi$ Couplings
• Modelling light-cone distribution amplitudes from non-relativistic bound states
• Higher-twist B-meson Distribution Amplitudes in HQET
• Comment on Quark Masses in SCET
• Perturbative corrections to $B\to D$ form factors in QCD
• The Decay $B\to \pi \ell \nu$ in Heavy Quark Effective Theory
• Subleading-power corrections to the radiative leptonic $B\to \gamma \ell \nu$ decay in QCD
• Sudakov effects in B -> pi l nu form factors
• Loop corrections to sub-leading heavy quark currents in SCET
• Two-loop Corrections to the B to pi Form Factor from QCD Sum Rules on the Light-Cone and |V(ub)|
• The bottom-quark mass from non-relativistic sum rules at NNNLO
• B, Bs -> K form factors: an update of light-cone sum rule results
• Light-cone sum rules in soft-collinear effective theory
• Factorization and dispersion relations for radiative leptonic $B$ decay
• QCD calculations of $B\to \pi ,K$ form factors with higher-twist corrections
• Precision Flavour Physics with $B\to K\nu \bar{\nu }$ and $B\to K{l}^{+}{l}^{-}$
• Next-to-leading power endpoint factorization and resummation for off-diagonal "gluon" thrust
• Condensates in Quantum Chromodynamics
• SCET sum rules for B->P and B->V transition form factors
• B-Meson Light-Cone Distribution Amplitude: Perturbative Constraints and Asymptotic Behaviour in Dual Space
• Flavour SU(3) Symmetry in Charmless B Decays
• Standard Model Predictions for Rare K and B Decays without New Physics Infection
• The Exclusive Vision of Rare $K$ and $B$ Decays and of the Quark Mixing in the Standard Model
• $B_{d,s}\to \gamma \ell \bar{\ell }$ decay with an energetic photon
• The $\bar{B}\to \pi$ form factors from QCD and their impact on $|V_{ub}|$
• Inverse moment of the $B_s$-meson distribution amplitude from QCD sum rule
• New Physics effects in leptonic and semileptonic decays
• Conformal symmetry of the Lange-Neubert evolution equation
• Factorization at Subleading Power and Endpoint Divergences in $h\to \gamma \gamma$ Decay: II. Renormalization and Scale Evolution
• Heavy-to-light currents at NNLO in SCET and semi-inclusive anti-B ---> X(s) l+ l- decay
• The Mass of the b Quark
• Subleading power corrections to the pion-photon transition form factor in QCD
• Symmetry-breaking corrections to heavy meson form factor relations
• $B\to \pi \ell \nu$ at zero recoil from lattice QCD with physical $u/d$ quarks
• $B\to D\ell {\nu }_{\ell }$ form factors beyond leading power and extraction of $|V_{cb}|$ and $R(D)$
• The $D^{\ast }D\pi$ and $B^{\ast }B\pi$ couplings from light-cone sum rules
• Proposal for a Precision Measurement of |Vub|
• QCD factorization for the four-body leptonic $B$-meson decays
• B-Meson Distribution Amplitudes of Geometric Twist vs. Dynamical Twist
• Precision calculations of the double radiative bottom-meson decays in soft-collinear effective theory
• Muon-electron backward scattering: a prime example for endpoint singularities in SCET
• Bounds on the slope and the curvature of the scalar Kπform factor at zero momentum transfer
• QCD sum rules for parameters of the $B$-meson distribution amplitudes
• Three-particle contributions to the renormalisation of B-meson light-cone distribution amplitudes
• Systematic Parametrization of the Leading $B$-meson Light-Cone Distribution Amplitude
• Continuum limit of the leading order HQET form factor in $B_s\to K\ell \nu$ decays
• Form factor ratios for $B_s\to K\ell \nu$ and $B_s\to D_s\ell \nu$ semileptonic decays and $|V_{ub}/V_{cb}|$
• Higher-Twist Effects in Light-Cone Sum Rule for the $B\to \pi$ Form Factor
• On the contribution of the electromagnetic dipole operator ${\mathcal{O}}_7$ to the ${\bar{B}}_s\to {\mu }^{+}{\mu }^{-}$ decay amplitude
• A closer look at the extraction of $|V_{ub}|$ from $B\to \pi l\nu$
• Extraction of bare Form Factors for ${\mathrm{B}}_{\mathrm{s}}\to \mathrm{K}\ell \nu$ Decays in non-perturbative HQET
• The PQCD approach towards to next-to-leading order: a short review
• Hybrid Renormalization of Penguins and Dimension-5 Heavy--Light Operators
• Heavy Meson Distribution Amplitudes of Definite Geometric Twist with Contribution of 3-Particle Distribution Amplitudes
• B meson light-cone distribution amplitudes and heavy-quark symmetry
• A closer look at observables from exclusive semileptonic $B\to (\pi ,\rho )\ell {\nu }_{\ell }$ decays
• Non-dipolar gauge links for transverse-momentum-dependent pion wave functions

Cited by in corpus (16)

• Diquark Explanation of $b\to s{\ell }^{+}{\ell }^{-}$
• On sum rules for semi-leptonic $b\to c$ and $b\to u$ decays
• Angular distribution of the FCNC process $B_c\to D_s^{\ast }(\to D_s\pi ){\ell }^{+}{\ell }^{-}$
• Analysis of three-body charmless $B$-meson decays under the factorization-assisted topological-amplitude approach
• Investigating $D_s^{+}\to {\pi }^0{\ell }^{+}{\nu }_{\ell }$ decay process within QCD sum rule approach
• Probing $|V_{cs}|$ and lepton flavor universality through $D\to K_0^{\ast }(1430)\ell {\nu }_{\ell }$ decay
• Exploring New Physics in transition $b\to s{\ell }^{+}{\ell }^{-}$ through different $B_c\to D_s^{(\ast )}{\ell }^{+}{\ell }^{-}$ observables
• Footprint in fitting $B\to D$ vector form factor and determination for $D$-meson leading-twist LCDA
• An improved calculation of the $D_{(s)}^{\ast }{D}_{(s)}V$ and $B_{(s)}^{\ast }{B}_{(s)}V$ couplings from light-cone sum rules
• Systematic analysis of the form factors of $B_c$ to $P$-wave charmonia and corresponding weak decays
• Analysis of the form factors of $B_c\to D^{(\ast )}$, $D_s^{(\ast )}$ and their nonleptonic decays
• Next-to-leading-order QCD calculations of $B\to A$ form factors with higher-twist corrections
• Factorization of multiparticle contributions to amplitudes of B-meson weak decays
• Determination of $B$-meson distribution amplitudes from $B\to \pi ,K,D$ transition form factors
• QCD factorization for the $B\to \gamma \ell {\nu }_{\ell }$ decay beyond leading power
• Investigating non-local contributions in $B_s\to \varphi \bar{\ell }\ell$ including higher-twist effects