Bottom-charmed meson spectrum from a QCD approach based on the Tamm-Dancoff approximation

Abreu, L. M.; Júnior, F. M. da Costa; Favero, A. G.

doi:10.1103/physrevd.102.034002

Cited by 11 publications

(2 citation statements)

References 57 publications

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“…We first introduce the definitions of the decay constants for the S-wave vector c b meson B * c (1 − )( 3 S 1 ) coupled with the vector v, tensor t, axial-tensor t5 currents [30,42,[44][45][46][47][48][49][50][51][52][53][54][55][56][57][58]]…”

Section: Matching Formulasmentioning

confidence: 99%

Three-loop matching of heavy flavor-changing (axial-)tensor currents

Tao,

Xiao

2023

J. High Energ. Phys.

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We present the three-loop calculations of the nonrelativistic QCD (NRQCD) current renormalization constants and corresponding anomalous dimensions, and the matching coefficients for the spatial-temporal tensor and spatial-spatial axial-tensor currents with two different heavy quark masses. We obtain the convergent decay constant ratio up to the next-to-next-to-next-to-leading order (N3LO) for the S-wave vector meson $$ {B}_c^{\ast } $$ B c ∗ involving the tensor and axial-tensor currents. We obtain the three-loop finite (ϵ0) term in the ratio of the QCD heavy flavor-changing tensor current renormalization constant in the on-shell (OS) scheme to that in the modified-minimal-subtraction ($$ \overline{\textrm{MS}} $$ MS ¯ ) scheme, which is helpful to obtain the three-loop matching coefficients for all heavy flavor-changing (axial-)tensor currents.

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Section: Matching Formulasmentioning

confidence: 99%

Three-loop matching of heavy flavor-changing (axial-)tensor currents

Tao,

Xiao

2023

J. High Energ. Phys.

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“…We can see from Eqs. ( 10), ( 23) and ( 55) that the masses of the constituents come into the slope β ′ as the linear formula ( 53) is employed to fit the nonlinear Regge trajectory (54) for the mesons consisting of the massive constituents. As shown in Tables V and VI, the slopes of the fitted linear Regge trajectories are almost a constant for the light mesons.…”

Section: Dependence Of β On Mass and The String Tension σmentioning

confidence: 99%

Structure of the meson Regge trajectories

Chen

2021

Preprint

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We investigate the structure of the meson Regge trajectories based on the quadratic form of the spinless Salpeter-type equation. It is found that the forms of the Regge trajectories depend on the energy region. As the employed Regge trajectory formula does not match the energy region, the fitted parameters neither have explicit physical meanings nor obey the constraints although the fitted Regge trajectory can give the satisfactory predictions if the employed formula is appropriate mathematically. Moreover, the consistency of the Regge trajectories obtained from different approaches is discussed. And the Regge trajectories for different mesons are presented. Finally, we show that the masses of the constituents will come into the slope and explain why the slopes of the fitted linear Regge trajectories vary with different kinds of mesons.

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Astrophysical Context

Müller

2022

Springer Theses

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Bottom-charmed meson spectrum from a QCD approach based on the Tamm-Dancoff approximation

Cited by 11 publications

References 57 publications

Three-loop matching of heavy flavor-changing (axial-)tensor currents

Three-loop matching of heavy flavor-changing (axial-)tensor currents

Structure of the meson Regge trajectories

Astrophysical Context

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