Perturbative QCD Analysis of $B$ Meson Decays

Hoi-Lai Yu; Hsiang-nan Li

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Perturbative QCD Analysis of $B$ Meson Decays

Hsiang-nan Li, Hoi-Lai Yu

High Energy Physics - Phenomenology · Submitted 16 Nov 1994

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim By combining predictions from the soft pion theorems, we estimate that the upper limit of the KM matrix element $|V_{ub}|$ is roughly 0.003.

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What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.72 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.98 · compares with prior results 0.38 · mentions code or data availability 0.01.

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arXiv listing abstract v1. Results and the main claim are underlined; show every role.

Resummation of large QCD radiative corrections, including leading and next-to-leading logarithms, in pion electromagnetic form factor is reviewed. Similar formalism is applied to exclusive processes involving heavy mesons, and leads to Sudakov suppression for the semi-leptonic decay $B\to\pi l\nu$. It is found that, with the inclusion of Sudakov effects, perturbative QCD analysis of this decay is possible for the energy fraction of the pion above 0.3. By combining predictions from the soft pion theorems, we estimate that the upper limit of the KM matrix element $|V_{ub}|$ is roughly 0.003.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#	sentence	role	the authors' own work	states the main conclusion	strength
s0	Resummation of large QCD radiative corrections, including leading and next-to-leading logarithms, in pion electromagnetic form factor is reviewed.	background 0.99	0.08	0.05	asserted 0.88
s1	Similar formalism is applied to exclusive processes involving heavy mesons, and leads to Sudakov suppression for the semi-leptonic decay $B\to\pi l\nu$.	contribution 0.58	0.78	0.13	asserted 1.00
s2	It is found that, with the inclusion of Sudakov effects, perturbative QCD analysis of this decay is possible for the energy fraction of the pion above 0.3.	result 0.97	0.86	0.42	asserted 0.83
s3	By combining predictions from the soft pion theorems, we estimate that the upper limit of the KM matrix element $\|V_{ub}\|$ is roughly 0.003.	result 1.00	0.85	0.43	asserted 0.55

What kind of paper the classifier reports this is: theoretical result 0.87 · evidence from proof or derivation 0.86.

What was examined, and what was not

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arXiv listing abstract v1

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full text
figures and tables
references and citing sentences
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S sections
T body sentences
C citations
R cross-paper relations

Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper

Original abstract

Resummation of large QCD radiative corrections, including leading and next-to-leading logarithms, in pion electromagnetic form factor is reviewed. Similar formalism is applied to exclusive processes involving heavy mesons, and leads to Sudakov suppression for the semi-leptonic decay $B\to\pi l\nu$. It is found that, with the inclusion of Sudakov effects, perturbative QCD analysis of this decay is possible for the energy fraction of the pion above 0.3. By combining predictions from the soft pion theorems, we estimate that the upper limit of the KM matrix element $|V_{ub}|$ is roughly 0.003.

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References

Forward citations

Cited by 5 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

The Gravitational Form Factor of the Pion in Perturbative QCD with a Dilaton Interaction
hep-ph 2026-06 unverdicted novelty 6.0 of 10

Anomaly-induced dilaton-like corrections in the hard kernel significantly modify pion GFFs at large Q^{2} within a factorization approach using Sudakov resummation and a Gaussian TMD wave function.
A Phenomenological Model of Mesons for Charged Current Weak Decays
hep-ph 2026-05 unverdicted novelty 6.0 of 10

A symmetry-guided phenomenological model organizes leading current-current operators for charged-current decays of heavy-light mesons and reproduces heavy-quark scaling relations for decay constants and form factors.
QCD Factorization in B -> pi K, pi pi Decays and Extraction of Wolfenstein Parameters
hep-ph 2001-04 accept novelty 6.0 of 10

QCD factorization at next-to-leading order reproduces the observed B to pi K and pi pi branching ratios and yields constraints on the Wolfenstein parameters without phenomenological models at leading power.
Study of Form Factors and Observables in $B_c^- \rightarrow \bar{D}^{(*)0}\ell^-\bar{\nu}_{\ell}$ and $B_c^- \rightarrow D^{(*)-}\ell^+\ell^-$ decays
hep-ph 2025-09 unverdicted novelty 5.0 of 10

Computes pQCD form factors for B_c to D(*) transitions via lattice inputs and heavy quark symmetry, then predicts branching fractions and angular observables for semileptonic and rare dilepton decays.
Charmless non-leptonic B_s decays to PP, PV and VV final states in the pQCD approach
hep-ph 2007-03 conditional novelty 5.0 of 10

The pQCD approach, at leading order in alpha_s, reproduces the first CDF B_s branching ratios and CP asymmetry within errors and yields a comprehensive table of predictions for B_s to PP, PV, and VV decays.

How the literature uses it

18 arXiv papers cite this in 26 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers whose main result relates to this one's

Found among the papers closest to this one by title and main claim. Pith's classifier compared each pair's main results and a second model family confirmed the relation; checked against two further families, shown conflicts agreed 118 times in 120 and shown same results 218 times in 239. The quoted sentence is the other paper's main claim.

States the same result 1 paper

Combining predictions from the soft pion theorems, we extract the value of the matrix element $|V_{ub}|$ which is roughly $2.7\times 10^{-3}$.

Extraction of $V_{ub}$ from the Decay $B\to \pi l \nu$ · 0.92

Papers citing it · 17 sentences without a confident label

Uses its method or tool 3 papers

Sudakov exponents $S_BK(t)=S_B(t)+S_K(t)$, [equation] where $γ_q=-α_s/π$ is the quark anomalous dimension, and the expression for $s(Q,b)$ can be written as [ref] [equation] where [equation]

Probing $B^+ \to K^+$ semi-leptonic FCNC decay with new physics effects under PQCD approach · PQCD Functions · 0.97
The $k_T$ resummation is thus applied to the baryon wave functions to extract the Sudakov factors [ref] as in its application to meson wave functions [ref] .

$\Lambda_b\to p$ transition form factors in perturbative QCD · $k_T$ factorization · 0.80
These divergences can be separated from the hard kernel and reabsorbed into meson wave functions using eikonal approximation [ref] .

B to tensor meson form factors in the perturbative QCD approach · PQCD approach · 0.91

Cites it as support 1 paper

Previous studies have substantiated this point, as elaborated in Refs. [ref] .

Probing $B^+ \to K^+$ semi-leptonic FCNC decay with new physics effects under PQCD approach · Kinematics and Wave Functions · 0.99

Cites it as background 4 papers

Three different approaches to factorization in $B$ decays have been put forward: the so-called QCD factorization [ref] , perturbative QCD (PQCD) [ref] and Soft-Collinear Effective Theory (SCET) [ref] .

Searching for New Physics in b to s Hadronic Penguin Decays · Evaluation of hadronic matrix elements · 0.81
Many elaborate theoretical calculations based on QCDF [ref] , PQCD [ref] and SCET [ref] have been done for physical observables within the SM.

Analytic Resolution of Puzzle in $B\to K \pi$ decays · Introduction · 0.96
The QCD factorization methods, emerging in the early 2000s [ref] , provided a clean way to calculate the observables and, deservingly, became the chosen method for phenomenology.

A Phenomenological Model of Mesons for Charged Current Weak Decays · Introduction · 0.84

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