Perturbative QCD Correction to the $B\to\pi$ Transition Form Factor

A. Khodjamirian; O. Yakovlev; R. R\"uckl; S. Weinzierl

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Perturbative QCD Correction to the $B\to\pi$ Transition Form Factor

A. Khodjamirian, R. Rückl, S. Weinzierl, O. Yakovlev

High Energy Physics - Phenomenology · Submitted 9 Jun 1997

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

The authors' main claim The resulting cancellation of large QCD corrections in $f^+$ eliminates one important uncertainty in the sum-rule prediction for this form factor.

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arXiv IDhep-ph/9706303 (version 1)

Pith IDXVCQPQBR, Pith's permanent record of this paper and its review

CitationA. Khodjamirian, O. Yakovlev, R. R\"uckl, S. Weinzierl. "Perturbative QCD Correction to the $B\to\pi$ Transition Form Factor." arXiv:hep-ph/9706303 (1997). https://pith.science/paper/XVCQPQBR

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The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.

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Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 3,012 input tokens, $0.0001 reported.

What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.23 · human participants 0.01 · controlled comparison 0.08 · randomized assignment 0.01 · states quantitative result 0.97 · compares with prior results 0.90 · 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.

We report on the perturbative $O(\alpha_s)$ correction to the light-cone QCD sum rule for the $B\to \pi$ transition form factor $f^+$. The correction to the product $f_Bf^+$ in leading twist approximation is found to be about 30%, that is similar in magnitude to the corresponding $O(\alpha_s)$ correction in the two-point sum rule for $f_B$. The resulting cancellation of large QCD corrections in $f^+$ eliminates one important uncertainty in the sum-rule prediction for this form factor.

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	We report on the perturbative $O(\alpha_s)$ correction to the light-cone QCD sum rule for the $B\to \pi$ transition form factor $f^+$.	contribution 1.00	0.94	0.12	asserted 0.98
s1	The correction to the product $f_Bf^+$ in leading twist approximation is found to be about 30%, that is similar in magnitude to the corresponding $O(\alpha_s)$ correction in the two-point sum rule for $f_B$.	result 1.00	0.93	0.20	asserted 1.00
s2	The resulting cancellation of large QCD corrections in $f^+$ eliminates one important uncertainty in the sum-rule prediction for this form factor.	interpretation 0.96	0.86	0.76	asserted 1.00

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 0.85.

What was examined, and what was not

sources read

arXiv listing abstract v1

not examined

full text
figures and tables
references and citing sentences
relations to other papers

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P abstract

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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

We report on the perturbative $O(\alpha_s)$ correction to the light-cone QCD sum rule for the $B\to \pi$ transition form factor $f^+$. The correction to the product $f_Bf^+$ in leading twist approximation is found to be about 30%, that is similar in magnitude to the corresponding $O(\alpha_s)$ correction in the two-point sum rule for $f_B$. The resulting cancellation of large QCD corrections in $f^+$ eliminates one important uncertainty in the sum-rule prediction for this form factor.

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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 Zero-Bin and Mode Factorization in Quantum Field Theory
hep-ph 2006-05 conditional novelty 7.0 of 10

A Lagrangian-level zero-bin subtraction removes double counting between soft, ultrasoft, and collinear fields, converting spurious infrared singularities into ultraviolet divergences that renormalize cleanly.
Symmetry-breaking corrections to heavy-to-light B meson form factors at large recoil
hep-ph 2000-08 conditional novelty 6.0 of 10

The large-recoil symmetry relations among B-to-light form factors survive strong-interaction corrections, which are computable and shift form factor ratios by roughly ten percent.
Improved $B\to K^*_0\left(1430\right)$ transition form factors at next-to-leading order in light cone sum rules
hep-ph 2026-09 conditional novelty 5.0 of 10

An NLO light-cone-sum-rule calculation of the B-to-K0*(1430) form factors including twist-3 radiative corrections gives f+(0)=0.503, f-(0)=-0.322 and fT(0)=0.626.
New Results on B->pi, K, eta Decay Formfactors from Light-Cone Sum Rules
hep-ph 2004-06 conditional novelty 5.0 of 10

An improved light-cone sum rule calculation gives the B to pi, K, eta form factors at zero momentum transfer with 10 to 13 percent theoretical uncertainty, plus a parametrization valid over the full q-squared range.
QCD factorization for B->PP and B->PV decays
hep-ph 2003-08 conditional novelty 5.0 of 10

QCD factorization at next-to-leading order is extended to the full set of 96 B to PP and B to PV decay channels, with branching-ratio and CP-asymmetry predictions and a quantified error budget.

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7 arXiv papers cite this in 12 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

The corrections to the product $f_Bf^{+}_{B\pi}(q^2)$ in the leading twist approximation is found to be about 30%, while a similar magnitude corresponding to $O(\alpha_s)$ corrections for $f_B(q^2)$ in the two-point sum rule cancel them and result in small net corrections for $f^{+}_{B\pi}(q^2)$.

$B-\pi$ weak form factor with chiral current in the light-cone sum rules · 1.00

Papers citing it · 9 sentences without a confident label

Cites it as support 1 paper

This approach, motivated by theoretical consistency, aligns with previous studies in the field [ref] .

Precision calculations of the $D_{(s)}D_{(s)}V$ and $B_{(s)}B_{(s)}V$ couplings from light-cone sum rules · Numerical analysis · 0.98

Cites it as background 2 papers

The next-to-leading order (NLO) twist-2 corrections to $f_+(q^2)$ were first calculated in LCSR in Ref. [ref] and the leading order (LO) corrections up to twist-4 were calculated in Ref. [ref] .

Two-loop Corrections to the B to pi Form Factor from QCD Sum Rules on the Light-Cone and |V(ub)| · Introduction · 0.93
[ref] and LO corrections up to twist-4 were calculated in ref.

Obtaining |V(ub)| exclusively: a theoretical perspective · Recent LCSR updates on $f_+(q^2)$ for $B→πlν$ · 0.93

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