2018
DOI: 10.1103/physrevd.98.033007
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Semileptonic decays of Bc meson to P -wave charmonium states

Abstract: Inspired by a series of unexpected measurements of semileptonic decays mediated via b → c charged current interactions, we explore semileptonic Bc decays to the four lightest P -wave charmonium states, χc0, χc1, χc2, hc, by the recently developed improved perturbative QCD formalism, in which the charm quark mass effect is included both in the Sudakov factor and the hard kernels. We first directly evaluate the concerned transition form factors with vector and axial-vector currents in the region of small momentu… Show more

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Cited by 9 publications
(9 citation statements)
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“…which satisfy the normalization ǫ 2 L = −1 and the orthogonality ǫ L • P 2 = 0. For a tensor charmonium, the polarization tensor ǫ µν (λ) with helicity λ can be constructed via the polarization vector ǫ µ [55][56][57], whose detail expressions can be found in Refs [52,53].…”
Section: Analytic Formulasmentioning
confidence: 99%
See 1 more Smart Citation
“…which satisfy the normalization ǫ 2 L = −1 and the orthogonality ǫ L • P 2 = 0. For a tensor charmonium, the polarization tensor ǫ µν (λ) with helicity λ can be constructed via the polarization vector ǫ µ [55][56][57], whose detail expressions can be found in Refs [52,53].…”
Section: Analytic Formulasmentioning
confidence: 99%
“…Motivated by the same idea, we have reason to believe that it is appropriate to analyze other factorization-inhibited decays, such as B → χ c2 K, in the PQCD approach. Moreover, we update the P -wave charmonium distribution amplitudes (DAs) according to our previous work [52], where the new universal nonperturbative objects are successful in describing the P -wave charmonium decays of B/B c meson [52][53][54].…”
Section: Introductionmentioning
confidence: 99%
“…where the parameter ξ can be constructed using v and v , and |H c (v ) can be one of state in Eqs. (11)(12)(13). The general form for ξ can be written as…”
Section: Heavy Quark Effective Theorymentioning
confidence: 99%
“…On the theoretical side, a few schemes are used to study the B c decays into a charmonium, such as the perturbative QCD (PQCD) approach [6][7][8][9][10][11][12][13][14], QCD sum rules (QCD SR) [15][16][17][18], light-cone sum rules (LCSR) [19,20], quark model (QM) [21][22][23][24][25][26][27], light-front quark model (LFQM) [28][29][30], nonrelativistic QCD (NRQCD) [31][32][33][34][35][36][37][38][39][40][41] and others [42]. Uncertainties in some of these schemes are hard to control especially in the nonperturbative region and power corrections are expected important [43].…”
Section: Introductionmentioning
confidence: 99%
“…Motivated by the same idea, we have reason to believe that it is appropriate to analyze other factorization-inhibited decays, such as , in the PQCD approach. Moreover, we update the P-wave charmonium distribution amplitudes (DAs) based on our previous study [53], where the new universal nonperturbative objects are successful in describing the P-wave charmonium decays of the meson [53][54][55]. The layout of this paper is as follows: In Section 2, we present our theoretical formulae based on the PQCD framework.…”
mentioning
confidence: 99%