Erratum to: “B-meson light-cone distribution amplitudes in the heavy-quark limit”

Kawamura, Hiroyuki; Kodaira, Jiro; Qiao, C. F.; Tanaka, Kazuhiro

doi:10.1016/s0370-2693(02)01866-x

“…After absorbing all the soft dynamics, the initial and final state meson wave functions can be treated as nonperturbative inputs, which are not calculable but universal. Similar to the situation of the B meson [35], under above hierarchy, at leading order in 1/M, the B c meson light-cone matrix element can be decomposed as [36][37][38][39][40] …”

Section: Kinematics and The Wave Functionsmentioning

confidence: 97%

Semileptonic decays of $$B_c$$ B c meson to S-wave charmonium states in the perturbative QCD approach

Rui

¹

,

Hong

²

,

Wang

³

et al. 2016

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Inspired by the recent measurement of the ratio of B c branching fractions to J/ψπ + and J/ψμ + ν μ final states at the LHCb detector, we study the semileptonic decays of B c meson to the S-wave ground and radially excited 2S and 3S charmonium states with the perturbative QCD approach. After evaluating the form factors for the transitions B c → P, V , where P and V denote pseudoscalar and vector S-wave charmonia, respectively, we calculate the branching ratios for all these semileptonic decays. The theoretical uncertainty of hadronic input parameters are reduced by utilizing the light-cone wave function for the B c meson. It is found that the predicted branching ratios range from 10 −7 up to 10 −2 and could be measured by the future LHCb experiment. Our prediction for the ratio of branching fractionsis in good agreement with the data. For B c → V lν l decays, the relative contributions of the longitudinal and transverse polarization are discussed in different momentum transfer squared regions. These predictions will be tested on the ongoing and forthcoming experiments.

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“…In the case of light mesons, the equations of motion imply relations between higher-twist distribution amplitudes and connect them with amplitudes of lower twist (see, e.g., [19,20]). For heavy mesons instead, the equations of motion relate the leading-order two-particle amplitudes to certain three-particle amplitudes (corresponding to quark-antiquark-gluon Fock components) of higher dimension [14,21].…”

Section: Introductionmentioning

confidence: 99%

Spectator interactions in soft-collinear effective theory

Hill

¹

,

Neubert

²

2003

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Soft-collinear effective theory is generalized to include soft massless quarks in addition to collinear fields. This extension is necessary for the treatment of interactions with the soft spectator quark in a heavy meson. The power counting of the relevant fields and the construction of the effective Lagrangian are discussed at leading order in Λ/m b . Several novel effects occur in the matching of full-theory amplitudes onto effective-theory operators containing soft light quarks, such as the appearance of an intermediate mass scale and large non-localities of operators on scales of order 1/Λ. Important examples of effective-theory operators with soft light quarks are studied and their renormalization properties explored. The formalism presented here forms the basis for a systematic analysis of factorization and power corrections for any exclusive B-meson decay into light particles.

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“…At tree level, we find D Γ = 1/l + and hence D Γ = iθ(t) δ(s). We have checked by explicit calculation that the sum of the two expressions in (21) and (24) reproduces (at tree level) the current matrix elements with an arbitrary number of collinear gluons and no soft gluon, an arbitrary number of soft gluons and no collinear gluon, and one soft and one collinear gluon. The relevant diagrams for the latter case are shown in Figure 4.…”

Section: Soft-collinear Currentsmentioning

confidence: 99%

Spectator Interactions in Soft-Collinear Effective Theory

Hill¹

2002

0

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Soft-collinear effective theory is generalized to include soft massless quarks in addition to collinear fields. This extension is necessary for the treatment of interactions with the soft spectator quark in a heavy meson. The power counting of the relevant fields and the construction of the effective Lagrangian are discussed at leading order in Λ/m b . Several novel effects occur in the matching of full-theory amplitudes onto effective-theory operators containing soft light quarks, such as the appearance of an intermediate mass scale and large non-localities of operators on scales of order 1/Λ. Important examples of effective-theory operators with soft light quarks are studied and their renormalization properties explored. The formalism presented here forms the basis for a systematic analysis of factorization and power corrections for any exclusive B-meson decay into light particles.

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Erratum to: “B-meson light-cone distribution amplitudes in the heavy-quark limit”

Cited by 88 publications

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Semileptonic decays of $$B_c$$ B c meson to S-wave charmonium states in the perturbative QCD approach

Semileptonic decays of $$B_c$$ B c meson to S-wave charmonium states in the perturbative QCD approach

Spectator interactions in soft-collinear effective theory

Spectator Interactions in Soft-Collinear Effective Theory

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