Light quark mass dependence of the D and Ds decay constants

L. S. Geng; M. Altenbuchinger; W. Weise

doi:10.1016/j.physletb.2010.12.060

Light quark mass dependence of the D and D_s decay constants

L. S. Geng
, M. Altenbuchinger
, W. Weise

Department of Physics

Research output: Contribution to journal › Article › peer-review

16 Scopus citations

Abstract

We study the light quark mass dependence of the D and D_s meson decay constants,fD and fDs, using a covariant formulation of chiral perturbation theory (ΧPT) at next-to-next-to-leading order (NNLO). Using the HPQCD lattice results for the D (D_s) decay constants as a benchmark we show that covariant ΧPT can describe the HPQCD results better than heavy meson ΧPT (HMΧPT) at both NLO and NNLO. Within the same framework, taking into account sub-leading (1/m_Q, with m_Q the heavy quark mass) corrections to the values of the low-energy constants and employing the lattice QCD results for g_BB*π, we estimate the ratio of f_Bs/f_B to be 1.22_-0.04^+0.05, which agrees well with the HPQCD result 1.226(26).

Original language	English
Pages (from-to)	390-395
Number of pages	6
Journal	Physics Letters B
Volume	696
Issue number	4
DOIs	https://doi.org/10.1016/j.physletb.2010.12.060
State	Published - 7 Feb 2011

Keywords

Covariant chiral perturbation theory
Decays of charmed and bottom mesons
Lattice QCD calculations

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@article{b8eb50ae675f4c988270b42511ddd356,

title = "Light quark mass dependence of the D and Ds decay constants",

abstract = "We study the light quark mass dependence of the D and Ds meson decay constants,fD and fDs, using a covariant formulation of chiral perturbation theory (ΧPT) at next-to-next-to-leading order (NNLO). Using the HPQCD lattice results for the D (Ds) decay constants as a benchmark we show that covariant ΧPT can describe the HPQCD results better than heavy meson ΧPT (HMΧPT) at both NLO and NNLO. Within the same framework, taking into account sub-leading (1/mQ, with mQ the heavy quark mass) corrections to the values of the low-energy constants and employing the lattice QCD results for gBB*π, we estimate the ratio of fBs/fB to be 1.22-0.04+0.05, which agrees well with the HPQCD result 1.226(26).",

keywords = "Covariant chiral perturbation theory, Decays of charmed and bottom mesons, Lattice QCD calculations",

author = "Geng, \{L. S.\} and M. Altenbuchinger and W. Weise",

note = "Funding Information: This work is supported in part by BMBF , the A.v. Humboldt foundation , the Fundamental Research Funds for the Central Universities , the National Natural Science Foundation of China (Grant No. 11005007 ), and by the DFG Excellence Cluster “Origin and Structure of the Universe” . LSG thanks Prof. Christine Davies for useful and informative communications regarding the HPQCD data. ",

year = "2011",

month = feb,

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doi = "10.1016/j.physletb.2010.12.060",

language = "English",

volume = "696",

pages = "390--395",

journal = "Physics Letters B",

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number = "4",

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T1 - Light quark mass dependence of the D and Ds decay constants

AU - Geng, L. S.

AU - Altenbuchinger, M.

AU - Weise, W.

N1 - Funding Information: This work is supported in part by BMBF , the A.v. Humboldt foundation , the Fundamental Research Funds for the Central Universities , the National Natural Science Foundation of China (Grant No. 11005007 ), and by the DFG Excellence Cluster “Origin and Structure of the Universe” . LSG thanks Prof. Christine Davies for useful and informative communications regarding the HPQCD data.

PY - 2011/2/7

Y1 - 2011/2/7

N2 - We study the light quark mass dependence of the D and Ds meson decay constants,fD and fDs, using a covariant formulation of chiral perturbation theory (ΧPT) at next-to-next-to-leading order (NNLO). Using the HPQCD lattice results for the D (Ds) decay constants as a benchmark we show that covariant ΧPT can describe the HPQCD results better than heavy meson ΧPT (HMΧPT) at both NLO and NNLO. Within the same framework, taking into account sub-leading (1/mQ, with mQ the heavy quark mass) corrections to the values of the low-energy constants and employing the lattice QCD results for gBB*π, we estimate the ratio of fBs/fB to be 1.22-0.04+0.05, which agrees well with the HPQCD result 1.226(26).

AB - We study the light quark mass dependence of the D and Ds meson decay constants,fD and fDs, using a covariant formulation of chiral perturbation theory (ΧPT) at next-to-next-to-leading order (NNLO). Using the HPQCD lattice results for the D (Ds) decay constants as a benchmark we show that covariant ΧPT can describe the HPQCD results better than heavy meson ΧPT (HMΧPT) at both NLO and NNLO. Within the same framework, taking into account sub-leading (1/mQ, with mQ the heavy quark mass) corrections to the values of the low-energy constants and employing the lattice QCD results for gBB*π, we estimate the ratio of fBs/fB to be 1.22-0.04+0.05, which agrees well with the HPQCD result 1.226(26).

KW - Covariant chiral perturbation theory

KW - Decays of charmed and bottom mesons

KW - Lattice QCD calculations

UR - https://www.scopus.com/pages/publications/78951489160

U2 - 10.1016/j.physletb.2010.12.060

DO - 10.1016/j.physletb.2010.12.060

M3 - Article

AN - SCOPUS:78951489160

SN - 0370-2693

VL - 696

SP - 390

EP - 395

JO - Physics Letters B

JF - Physics Letters B

IS - 4

ER -

Light quark mass dependence of the D and D_s decay constants

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Keywords

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