QCD Calculation of the $B \rightarrow \pi,K$ Form Factors

A. Khodjamirian; R. R\"uckl; V.M. Belyaev

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QCD Calculation of the $B \rightarrow \pi,K$ Form Factors

V.M. Belyaev, A. Khodjamirian, R. Rückl

High Energy Physics - Phenomenology · Submitted 31 May 1993

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

The authors' main claim The results are compared with quark model predictions and with the results from QCD sum rules for three-point correlators.

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What the abstract itself states, as probabilities: claims first 0.02 · states limitation 0.31 · human participants 0.01 · controlled comparison 0.13 · randomized assignment 0.01 · states quantitative result 0.05 · compares with prior results 0.98 · mentions code or data availability 0.02.

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We calculate the form factors for the heavy-to-light transitions $B\rightarrow \pi,K $ by means of QCD sum rules using $\pi$ and $K$ light-cone wave functions. Higher twist contributions as well as gluonic corrections are taken into account. The sensitivity to the shape of the leading-twist wave functions and effects of SU(3)-breaking are discussed. The results are compared with quark model predictions and with the results from QCD sum rules for three-point correlators.

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#	sentence	role	the authors' own work	states the main conclusion	strength
s0	We calculate the form factors for the heavy-to-light transitions $B\rightarrow \pi,K $ by means of QCD sum rules using $\pi$ and $K$ light-cone wave functions.	contribution 0.76	0.96	0.12	asserted 1.00
s1	Higher twist contributions as well as gluonic corrections are taken into account.	method 0.92	0.87	0.04	asserted 1.00
s2	The sensitivity to the shape of the leading-twist wave functions and effects of SU(3)-breaking are discussed.	contribution 0.69	0.76	0.06	asserted 0.75
s3	The results are compared with quark model predictions and with the results from QCD sum rules for three-point correlators.	contribution 0.39	0.75	0.09	asserted 0.97

What kind of paper the classifier reports this is: theoretical result 0.98 · evidence from simulation or computation 0.58.

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The paper

Original abstract

We calculate the form factors for the heavy-to-light transitions $B\rightarrow \pi,K $ by means of QCD sum rules using $\pi$ and $K$ light-cone wave functions. Higher twist contributions as well as gluonic corrections are taken into account. The sensitivity to the shape of the leading-twist wave functions and effects of SU(3)-breaking are discussed. The results are compared with quark model predictions and with the results from QCD sum rules for three-point correlators.

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References

Forward citations

Cited by 4 Pith papers

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

Light-Cone Sum Rules for $B\to K\pi$ Form Factors and Applications to Rare Decays
hep-ph 2019-08 accept novelty 7.0 of 10

P-wave B→Kπ form factors are derived from light-cone sum rules with B-meson distribution amplitudes, and the K* width is shown to produce a universal ~10% form-factor increase, corresponding to a ~20% rate enhancement.
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.
Addressing the $S$-wave scalar $f_0(1500)$-resonance in quasi-four-body FCNC rare $B_s \to f_0(1500) (\to \pi^+ \pi^- ) \ell^+ \ell^- / \nu \bar \nu$ decays
hep-ph 2026-09 conditional novelty 6.0 of 10

First calculation of branching fractions for the quasi-four-body rare decays B_s to f0(1500) to π+π- and leptons or neutrinos, using light-cone sum rules and a novel light-cone distribution amplitude model.
Determination of $B$-meson distribution amplitudes from $B\to \pi,K,D$ transition form factors
hep-ph 2025-12 unverdicted novelty 5.0 of 10

Global fit of B to pi, K, D form factors from lattice QCD and LCSR yields lambda_B = 217(19) MeV with model variations and |V_ub| = 3.68(13) x 10^{-3}.

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10 arXiv papers cite this in 12 sentences

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Papers citing it · 5 sentences without a confident label

Uses its method or tool 1 paper

Substituting Eq. [ref] into Eq. [ref], one can get [equation] On the other hand, the invariant amplitude after Borel transformation can also be written as [ref] [equation] Finally, equating Eqs. [ref] with [ref], the LCSR of TFF $f_+(q^2)$ can be obtained as [equation] Similarly, [equation] with [equation] In particular, the upper limit of the integral of variable $u$ in LCSRs [ref], [ref] and [ref] is $u_0$ instead of 1, because the lower limit of the integral variable $s$ in the dispersion relationship [ref], $t_min$, is larger than, but not equal to, $m_Q^2$.

$K_0^\ast(1430)$ Twist-2 Distribution Amplitude and $B_s,D_s \to K_0^\ast(1430)$ Transition Form Factors · $B_s,D_s→K_0^∗$ TFFs within LCSRs · 0.94

Cites it as background 5 papers

In the early stage, the LCSR approach was formulated using an $B$-meson interpolating current together with the light meson LCDAs [ref] .

Determination of $B$-meson distribution amplitudes from $B\to \pi,K,D$ transition form factors · B to pseudoscalar Meson Form Factors from Light-Cone Sum Rules · 0.95
The method of LC sum rules has been widely used in the studies of nonperturbative processes, including weak baryon decays [ref] , heavy meson decays [ref] , and heavy to light transition form factors [ref] .

$B \to K_1 \gamma$ Decays in the Light-Cone QCD Sum Rules · Introduction · 0.91
This machinery can be formulated both in the context of QCD as well as in soft-collinear effective theory (SCET), as pioneered in the work of [ref] and [ref] , respectively.

$B\to D \ell \nu_\ell$ form factors beyond leading power and extraction of $|V_{cb}|$ and $R(D)$ · Introduction · 0.83

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