The bottom M̄S̄ quark mass from sum rules at next-to-next-to-leading order

M. Beneke; A. Signer

doi:10.1016/S0370-2693(99)01348-9

The bottom M̄S̄ quark mass from sum rules at next-to-next-to-leading order

M. Beneke
, A. Signer

European Organization for Nuclear Research
University of Durham

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

141 Scopus citations

Abstract

We determine the bottom M̄S̄ quark mass m̄(b) and the quark mass in the potential subtraction scheme from moments of the bb̄ production cross section and from the mass of the Upsilon 1S state at next-to-next-to-leading order in a reorganized perturbative expansion that sums Coulomb exchange to all orders. We find m̄(b)(m̄(b)) = (4.25 ± 0.08)GeV and m(b,PS)(2 GeV) = (4.59 ± 0.08)GeV for the potential-subtracted mass at the scale 2 GeV, adopting a conservative error estimate. (C) 1999 Elsevier Science B.V.

Original language	English
Pages (from-to)	233-243
Number of pages	11
Journal	Physics Letters B
Volume	471
Issue number	2-3
DOIs	https://doi.org/10.1016/S0370-2693(99)01348-9
State	Published - 30 Dec 1999
Externally published	Yes

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@article{dd4513594a7f4804a97c7e13c7d814c3,

title = "The bottom {\=M}{\=S} quark mass from sum rules at next-to-next-to-leading order",

abstract = "We determine the bottom {\=M}{\=S} quark mass {\=m}(b) and the quark mass in the potential subtraction scheme from moments of the b{\=b} production cross section and from the mass of the Upsilon 1S state at next-to-next-to-leading order in a reorganized perturbative expansion that sums Coulomb exchange to all orders. We find {\=m}(b)({\=m}(b)) = (4.25 ± 0.08)GeV and m(b,PS)(2 GeV) = (4.59 ± 0.08)GeV for the potential-subtracted mass at the scale 2 GeV, adopting a conservative error estimate. (C) 1999 Elsevier Science B.V.",

author = "M. Beneke and A. Signer",

note = "Funding Information: We thank G. Buchalla, A.H. Hoang and A. Pineda for useful discussions and comments on the manuscript. We also thank M. Steinhauser for providing us with the numerical code that produced the fixed-order moments (FO1) in Table 2 . This work was supported in part by the EU Fourth Framework Programme `Training and Mobility of Researchers', Network `Quantum Chromodynamics and the Deep Structure of Elementary Particles', contract FMRX-CT98-0194 (DG 12 - MIHT).",

year = "1999",

month = dec,

day = "30",

doi = "10.1016/S0370-2693(99)01348-9",

language = "English",

volume = "471",

pages = "233--243",

journal = "Physics Letters B",

issn = "0370-2693",

publisher = "Elsevier B.V.",

number = "2-3",

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TY - JOUR

T1 - The bottom M̄S̄ quark mass from sum rules at next-to-next-to-leading order

AU - Beneke, M.

AU - Signer, A.

N1 - Funding Information: We thank G. Buchalla, A.H. Hoang and A. Pineda for useful discussions and comments on the manuscript. We also thank M. Steinhauser for providing us with the numerical code that produced the fixed-order moments (FO1) in Table 2 . This work was supported in part by the EU Fourth Framework Programme `Training and Mobility of Researchers', Network `Quantum Chromodynamics and the Deep Structure of Elementary Particles', contract FMRX-CT98-0194 (DG 12 - MIHT).

PY - 1999/12/30

Y1 - 1999/12/30

N2 - We determine the bottom M̄S̄ quark mass m̄(b) and the quark mass in the potential subtraction scheme from moments of the bb̄ production cross section and from the mass of the Upsilon 1S state at next-to-next-to-leading order in a reorganized perturbative expansion that sums Coulomb exchange to all orders. We find m̄(b)(m̄(b)) = (4.25 ± 0.08)GeV and m(b,PS)(2 GeV) = (4.59 ± 0.08)GeV for the potential-subtracted mass at the scale 2 GeV, adopting a conservative error estimate. (C) 1999 Elsevier Science B.V.

AB - We determine the bottom M̄S̄ quark mass m̄(b) and the quark mass in the potential subtraction scheme from moments of the bb̄ production cross section and from the mass of the Upsilon 1S state at next-to-next-to-leading order in a reorganized perturbative expansion that sums Coulomb exchange to all orders. We find m̄(b)(m̄(b)) = (4.25 ± 0.08)GeV and m(b,PS)(2 GeV) = (4.59 ± 0.08)GeV for the potential-subtracted mass at the scale 2 GeV, adopting a conservative error estimate. (C) 1999 Elsevier Science B.V.

UR - https://www.scopus.com/pages/publications/0033619880

U2 - 10.1016/S0370-2693(99)01348-9

DO - 10.1016/S0370-2693(99)01348-9

M3 - Article

AN - SCOPUS:0033619880

SN - 0370-2693

VL - 471

SP - 233

EP - 243

JO - Physics Letters B

JF - Physics Letters B

IS - 2-3

ER -

The bottom M̄S̄ quark mass from sum rules at next-to-next-to-leading order

Abstract

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