Space-like and time-like pion–rho transition form factors in the light-cone formalism

Yu, Jiang-Hao; Xiao, Bo-Wen; Ma, Bo-Qiang

doi:10.1088/0954-3899/34/7/021

Cited by 29 publications

(30 citation statements)

References 55 publications

(93 reference statements)

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“…The parameter β π around 0.40 GeV has been widely adopted in the literature (see for example Ref. [36]). Due to the suppression from the additional intrinsic k T dependence, we lower the shape parameter ω B of the B meson wave function from 0.40 GeV [6] to 0.37 GeV to maintain the NLO PQCD result for the B → π transition form factor F B→π 0 .…”

Section: B Numerical Resultsmentioning

confidence: 99%

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Transverse-momentum-dependent wave functions with Glauber gluons inB→ππ,ρρdecays

Liu

Xiao

2015

Phys. Rev. D

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We investigate the Glauber-gluon effect on the B → ππ and ρρ decays, which is introduced via a convolution of a universal Glauber phase factor with transverse-momentum-dependent (TMD) meson wave functions in the kT factorization theorem. For an appropriate parametrization of the Glauber phase, it is observed that a TMD wave function for the pion (ρ meson) with a weak (strong) falloff in parton transverse momentum kT leads to significant (moderate) modification of the B 0 → π 0 π 0 (B 0 → ρ 0 ρ 0 ) branching ratio: the former (latter) is enhanced (reduced) by about a factor of 2 (15%). This observation is consistent with the dual role of the pion as a massless Nambu-Goldstone boson and as a qq bound state, which requires a tighter spatial distribution of its leading Fock state relative to higher Fock states. The agreement between the theoretical predictions and the data for all the B → ππ and ρ 0 ρ 0 branching ratios is then improved simultaneously, and it is possible to resolve the B → ππ puzzle.

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Section: B Numerical Resultsmentioning

confidence: 99%

“…In the collinear factorization theorem one integrates a TMD wave function over k T to obtain a distribution amplitude. Assume that the intrinsic k T dependence appears in a Gaussian form [36],…”

Section: A Parametrizationsmentioning

confidence: 99%

Transverse-momentum-dependent wave functions with Glauber gluons inB→ππ,ρρdecays

Liu

Xiao

2015

Phys. Rev. D

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“…This work may help us to understand the exclusive processes involving at least a vector hadron at the NLO level [15][16][17][18][19].…”

Section: Introductionmentioning

confidence: 97%

Perturbative QCD factorization ofργ⋆→ρ

Zhang¹,

Cheng²,

Hua³

et al. 2016

Phys. Rev. D

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In this paper we firstly demonstrate step by step that the factorization hypothesis is valid at the next-to-leading order (NLO) for the exclusive process ργ ⋆ → ρ by employing the collinear factorization approach, and then extend this proof to the case of the k T factorization by taking into account the transversal momentum of the light external quark (anti-quark) lines in the ρ meson. At the NLO level, we then show that the soft divergences from different sub-diagrams will be canceled each other in the quark level, while the remaining collinear divergences can be absorbed into the NLO meson wave functions. The full NLO amplitudes can therefore be factorized as the convolution of the NLO wave functions Φ (1) ρ and the infrared-finite leading order (LO) hard kernels G 0 X,IJ,kl in the k T factorization. We also write down the polarized NLO ρ meson wave functions in the form of nonlocal hadron matrix elements with the gauge factor integral path deviating from the light cone. These NLO ρ meson wave functions can be used to calculate the NLO hard corrections to some relevant exclusive processes, such as B → ρ transition.

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“…The transition and the electromagnetic form factors of the pseudoscalar mesons, especially the pion meson as the lightest QCD bound state, attracted the most attentions theoretically [4][5][6][7][8][9][10][11][12][13][14][15][16] and experimentally [17][18][19]. The transition form factors between the pseudoscalar and vector mesons are also investigated by employing rather different approaches [20][21][22][23][24][25], the resulted theoretical predictions however are self-consistent and comparable from each other. The radiative form factors of vector meson, such as the ρ meson, also draw some interests [26,27].…”

Section: Introductionmentioning

confidence: 99%

ργ*→π(ρ)transition form factors in the perturbative QCD factorization approach

et al. 2015

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In this paper, we studied the ργ * → π and ργ * → ρ transition processes and made the calculations for the ρπ transition form factor Q 4 F ρπ (Q 2 ) and the ρ meson electromagnetic form factors, F LL,LT,TT (Q 2 ) and F 1,2,3 (Q 2 ), by employing the perturbative QCD (PQCD) factorization approach. For the ργ * → π transition, we found that the contribution to form factor Q 4 F ρπ (Q) from the term proportional to the distribution amplitude combination φ T ρ (x 1 )φ P π (x 2 ) is absolutely dominant, and the PQCD predictions for both the size and the Q 2 -dependence of this form factor Q 4 F ρπ (Q 2 ) agree well with those from the extended ADS/QCD models or the light-cone QCD sum rule. For the ργ * → ρ transition and in the region of Q 2 ≥ 3 GeV 2 , further more, we found that the PQCD predictions for the magnitude and their Q 2 -dependence of the F 1 (Q 2 ) and F 2 (Q 2 ) form factors agree well with those from the QCD sum rule, while the PQCD prediction for F 3 (Q 2 ) is much larger than the one from the QCD sum rule.

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Space-like and time-like pion–rho transition form factors in the light-cone formalism

Cited by 29 publications

References 55 publications

Transverse-momentum-dependent wave functions with Glauber gluons inB→ππ,ρρdecays

Transverse-momentum-dependent wave functions with Glauber gluons inB→ππ,ρρdecays

Perturbative QCD factorization ofργ⋆→ρ

ργ*→π(ρ)transition form factors in the perturbative QCD factorization approach

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