Relativistic corrections to the form factors of 
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 into 
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-wave charmonium

Zhu, Ruilin; Ma, Yan; Han, X.; Xiao, Z. J.

doi:10.1103/physrevd.95.094012

Cited by 40 publications

(23 citation statements)

References 57 publications

(80 reference statements)

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“…For the B c → J/ψ form factors, they have been studied in a variety of approaches [106][107][108][109][110][111][112][113][114][115][116] (for earlier analysis focused on this decay mode see refs. [116][117][118][119]).…”

Section: Form Factorsmentioning

confidence: 99%

Revisiting the new-physics interpretation of the b → cτν data

Shi

Geng

Grinstein

et al. 2019

J. High Energ. Phys.

118

122

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We revisit the status of the new-physics interpretations of the anomalies in semileptonic B decays in light of the new data reported by Belle on the lepton-universality ratios R D ( * ) using the semileptonic tag and on the longitudinal polarization of the D * in B → D * τν, F D * L . The preferred solutions involve new left-handed currents or tensor contributions. Interpretations with pure right-handed currents are disfavored by the LHC data, while pure scalar models are disfavored by the upper limits derived either from the LHC or from the B c lifetime. The observable F D * L also gives an important constraint leading to the exclusion of large regions of parameter space. Finally, we investigate the sensitivity of different observables to the various scenarios and conclude that a measurement of the tau polarization in the decay mode B → Dτν would effectively discriminate among them. *

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Section: Form Factorsmentioning

confidence: 99%

Revisiting the new-physics interpretation of the b → cτν data

Shi

Geng

Grinstein

et al. 2019

J. High Energ. Phys.

118

122

View full text Add to dashboard Cite

show abstract

“…For example, recently, the authors of ref. [1] have calculated the relativistic corrections to the form factors of the B c decays to S-wave charmonium by non-relativistic QCD (NRQCD) approach, with the heavy quark relative velocities v 2 J/ψ = 0.267 and v 2 Bc = 0.186. They pointed out that the relativistic corrections can bring about additional 15 ∼ 27% contributions.…”

Section: Introductionmentioning

confidence: 99%

“…The LHCb experiment can produce and reconstruct a large number of the B c meson events, and it provides a solid platform to study the properties of the B c meson precisely. A great deal of work has been done on various B c decays under different approaches, such as NRQCD approach [1,[11][12][13], the perturbative QCD approach (PQCD) [14][15][16][17], the relativistic quark model (RQM) [18][19][20][21], Light-cone sum rules (LCSR) [22], the nonrelativistic constituent quark model (NCQM) [23] and QCD sum rules (QCDSR) [24][25][26][27].…”

Section: Introductionmentioning

confidence: 99%

Relativistic effects in the semileptonic Bc decays to charmonium with the Bethe-Salpeter method

et al. 2019

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Relativistic effects are important in the rigorous study of heavy quarks. In this paper, we study the relativistic corrections of semileptonic B c decays to charmonium with the instantaneous Bethe-Salpeter method. Within the Bethe-Salpeter framework, we use two methods to study the relativistic effects. One of them is to expand the transition amplitude in powers of q which is the relative momentum between the quark and antiquark, and the other is to expand the amplitude base on the wave functions. In the level of decay width, the results show that, for the transition of B c → η c , the relativistic correction is about 22%; for B c → J/ψ, it is about 19%; the relativistic effects of 1P final states are about 14 ∼ 46% larger than those of 1S final states; for 2S final states, they are about 19 ∼ 28% larger than those of 1S final states; for 3S final states, they are about 12 ∼ 13% larger than those of 2S final states; for 2P final states, they are about 10 ∼ 14% larger than those of 1P final states; for 3P final states, they are about 7 ∼ 12% larger than those of 2P final states. We conclude that the relativistic corrections of the B c decays to the orbitally or radially excited charmonium (2S, 3S, 1P, 2P, 3P) are quite large.

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“…Meanwhile the NRQCD factorization has been adopted in refs. [18][19][20][21][22][23][24][25][26], in which the non-perturbative physics reside in a few NRQCD matrix elements. The LHCb collaboration has started comprehensive experimental studies of the decays [27], and some phenomenological studies can be found in refs.…”

Section: Jhep12(2017)012mentioning

confidence: 99%

Relativistic corrections to light-cone distribution amplitudes of S-wave Bc mesons and heavy quarkonia

Wang

Yang

et al. 2017

J. High Energ. Phys.

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In collinear factorization, light-cone distribution amplitudes (LCDAs) are key ingredients to calculate the production rate of a hadron in high energy exclusive processes. For a doubly-heavy meson system (such as B c , J/ψ, Υ etc), the LCDAs contain perturbative scales that can be integrated out and then are re-factorized into products of perturbatively calculable distribution parts and non-relativistic QCD matrix elements. In this re-factorization scheme, the LCDAs are known at next-to-leading order in the strong coupling constant α s and at leading order in the velocity expansion. In this work, we calculate the O(v 2 ) corrections to twist-2 LCDAs of S-wave B c mesons. These results are applicable to heavy quarkonia like η c,b , J/ψ and Υ by setting m b = m c . We apply these relativistically corrected LCDAs to study their inverse moments and a few Gegenbauer moments which are important for phenomenological study. We point out that the relativistic corrections are sizable, and comparable with the next-to-leading order radiative corrections. These results for LCDAs are useful in future theoretical analyses of the productions of heavy quarkonia and B c mesons.

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Relativistic corrections to the form factors of Bc into S -wave charmonium

Cited by 40 publications

References 57 publications

Revisiting the new-physics interpretation of the b → cτν data

Revisiting the new-physics interpretation of the b → cτν data

Relativistic effects in the semileptonic Bc decays to charmonium with the Bethe-Salpeter method

Relativistic corrections to light-cone distribution amplitudes of S-wave Bc mesons and heavy quarkonia

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