Heavy-to-light B meson form factors at large recoil energy -- spectator-scattering corrections

D. Yang (Nagoya U.); M. Beneke (RWTH Aachen)

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Heavy-to-light B meson form factors at large recoil energy -- spectator-scattering corrections

M. Beneke (RWTH Aachen), D. Yang (Nagoya U.)

High Energy Physics - Phenomenology · Submitted 24 Aug 2005

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The authors' main claim We find the corrections from the hard and hard-collinear scales to be of approximately the same size, and significant, but the perturbative expansions appear to be well-behaved.

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arXiv IDhep-ph/0508250 (version 1)

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CitationD. Yang (Nagoya U.), M. Beneke (RWTH Aachen). "Heavy-to-light B meson form factors at large recoil energy -- spectator-scattering corrections." arXiv:hep-ph/0508250 (2005). https://pith.science/paper/L5QIQ3CC

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We complete the investigation of loop corrections to hard spectator-scattering in exclusive B meson to light meson transitions by computing the short-distance coefficient (jet-function) from the hard-collinear scale. Adding together the two coefficients from matching QCD to SCET_I to SCET_II, we investigate the size of loop effects on the ratios of heavy-to-light meson form factors at large recoil. We find the corrections from the hard and hard-collinear scales to be of approximately the same size, and significant, but the perturbative expansions appear to be well-behaved. Our calculation provides a non-trivial verification of the factorization arguments. We observe considerable differences between the predictions based on factorization in the heavy-quark limit and current QCD sum rule calculations of the form factors. We also include the hard-collinear correction in the B -> pi pi tree amplitudes, and find an enhancement of the colour-suppressed amplitude relative to the colour-allowed amplitude.

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#	sentence	role	the authors' own work	states the main conclusion	strength
s0	We complete the investigation of loop corrections to hard spectator-scattering in exclusive B meson to light meson transitions by computing the short-distance coefficient (jet-function) from the hard-collinear scale.	contribution 0.96	0.95	0.06	asserted 0.99
s1	Adding together the two coefficients from matching QCD to SCET_I to SCET_II, we investigate the size of loop effects on the ratios of heavy-to-light meson form factors at large recoil.	method 0.66	0.91	0.06	asserted 0.76
s2	We find the corrections from the hard and hard-collinear scales to be of approximately the same size, and significant, but the perturbative expansions appear to be well-behaved.	result 0.99	0.97	0.49	asserted 1.00
s3	Our calculation provides a non-trivial verification of the factorization arguments.	interpretation 0.95	0.87	0.18	asserted 1.00
s4	We observe considerable differences between the predictions based on factorization in the heavy-quark limit and current QCD sum rule calculations of the form factors.	result 0.97	0.66	0.14	asserted 1.00
s5	We also include the hard-collinear correction in the B -> pi pi tree amplitudes, and find an enhancement of the colour-suppressed amplitude relative to the colour-allowed amplitude.	result 0.91	0.96	0.08	asserted 1.00

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Original abstract

We complete the investigation of loop corrections to hard spectator-scattering in exclusive B meson to light meson transitions by computing the short-distance coefficient (jet-function) from the hard-collinear scale. Adding together the two coefficients from matching QCD to SCET_I to SCET_II, we investigate the size of loop effects on the ratios of heavy-to-light meson form factors at large recoil. We find the corrections from the hard and hard-collinear scales to be of approximately the same size, and significant, but the perturbative expansions appear to be well-behaved. Our calculation provides a non-trivial verification of the factorization arguments. We observe considerable differences between the predictions based on factorization in the heavy-quark limit and current QCD sum rule calculations of the form factors. We also include the hard-collinear correction in the B -> pi pi tree amplitudes, and find an enhancement of the colour-suppressed amplitude relative to the colour-allowed amplitude.

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How the literature uses it

24 arXiv papers cite this in 61 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 citing it · 40 sentences without a confident label

Uses its method or tool 4 papers

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The B1-type coefficients satisfy the nonlocal evolution equation [equation] Since the tree-level B1 coefficients are independent of $τ$, their LL evolution can be written in terms of the approximate solution given in [ref] , [equation] where $z=α_s(μ)/α_s(μ_h)$.

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The momentum space distribution function of leading-twist LCDA $ϕ_B^+(ω,μ)$ can be deduced from Fourier transformation of its form in coordinate space [ref] [equation] here $n̅$ is the light-cone coordinate with $n̅^2=0$, and $ϕ̃_B^+(η,μ)$ is the leading-twist LCDA in coordinate space with the definition [equation] The soft light-cone Wilson line is given by $W_c(ηn̅)=P{Exp[i g_s ∫_-∞^η d x n̅ · A(x n̅)]}$ and $f̃_B(μ)$ is the static decay constant of $B$-meson [ref] .

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The $B$-meson LCDA $ϕ_B^+(ω,μ)$ in momentum space can be deduced from the Fourier transform of the LCDA in coordinate space [equation] here $v_μ$ is the heavy quark velocity satisfying $v^2=1$ and $v^+ ≡n_+ · v (v^- ≡n_- · v)$, with $n_±$ being the unit light-cone vectors [equation] The LCDA in coordinate space $ϕ̃_B^+(η,μ)$ is defined through the renormalized HQET matrix element of a light-cone operator [ref] [equation] where $W(ηn_+, 0)=P{Exp[i g_s ∫_0^η d x n_+ · A(x n_+)]}$ is Wilson line connecting the light and heavy quark fields, ensuring the gauge invariance; $f̃_B(μ)$ is the $B$-meson decay constant in HQET [ref] .

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