b-QUARK MASS

INSPIRE   PDGID:
Q005M
b-quark mass corresponds to the “running mass” mb(μ = mb) in the MS scheme. We have converted masses in other schemes to the MS mass using two-loop QCD perturbation theory with αs(μ = mb) = 0.223 ±0.008. The value 4.18 0.03+0.04 (GeV) for the MS mass corresponds to 4.78 ±0.06 GeV for the pole mass, using the two-loop conversion formula. A discussion of masses in different schemes can be found in the “Note on Quark Masses.''
MS MASS (GeV) DOCUMENT ID TECN
4.183±0.007 OUR EVALUATION  of MS Mass.  See the ideogram below.
3.94 0.40+0.46 1
APARISI
2022
THEO
4.202 ±0.021 2
HATTON
2021
LATT
4.197 ±0.008 3
NARISON
2020
THEO
4.049 0.118+0.138 4
ABRAMOWICZ
2018
HERA
4.195 ±0.014 5
BAZAVOV
2018
LATT
4.186 ±0.037 6
PESET
2018
THEO
4.197 ±0.022 7
KIYO
2016
THEO
4.183 ±0.037 8
ALBERTI
2015
THEO
4.203 0.034+0.016 9
BENEKE
2015
THEO
4.196 ±0.023 10
COLQUHOUN
2015
LATT
4.176 ±0.023 11
DEHNADI
2015
THEO
4.21 ±0.11 12
BERNARDONI
2014
LATT
4.169 ±0.002 ±0.008 13
PENIN
2014
THEO
4.166 ±0.043 14
LEE
2013O
LATT
4.247 ±0.034 15
LUCHA
2013
THEO
4.171 ±0.009 16
BODENSTEIN
2012
THEO
4.29 ±0.14 17
DIMOPOULOS
2012
LATT
4.18 0.04+0.05 18
LASCHKA
2011
THEO
4.186 ±0.044 ±0.015 19
AUBERT
2010A
BABR
4.163 ±0.016 20
CHETYRKIN
2009
THEO
4.243 ±0.049 21
SCHWANDA
2008
BELL
• • We do not use the following data for averages, fits, limits, etc. • •
4.184 ±0.011 22
NARISON
2018A
THEO
4.188 ±0.008 23
NARISON
2018B
THEO
4.07 ±0.17 24
ABRAMOWICZ
2014A
ZEUS
4.201 ±0.043 25
AYALA
2014A
THEO
4.236 ±0.069 26
NARISON
2013
THEO
4.213 ±0.059 27
NARISON
2013A
THEO
4.235 ±0.003 ±0.055 28
HOANG
2012
THEO
4.212 ±0.032 29
NARISON
2012
THEO
4.177 ±0.011 30
NARISON
2012
THEO
4.171 ±0.014 31
NARISON
2012A
THEO
4.164 ±0.023 32
MCNEILE
2010
LATT
4.173 ±0.010 33
NARISON
2010
THEO
5.26 ±1.2 34
ABDALLAH
2008D
DLPH
4.42 ±0.06 ±0.08 35
GUAZZINI
2008
LATT
4.347 ±0.048 ±0.08 36
DELLA-MORTE
2007
LATT
4.164 ±0.025 37
KUHN
2007
THEO
4.19 ±0.40 38
ABDALLAH
2006D
DLPH
4.205 ±0.058 39
BOUGHEZAL
2006
THEO
4.20 ±0.04 40
BUCHMUELLER
2006
THEO
4.19 ±0.06 41
PINEDA
2006
THEO
4.4 ±0.3 42
GRAY
2005
LATT
4.22 ±0.06 43
AUBERT
2004X
THEO
4.17 ±0.03 44
BAUER
2004
THEO
4.22 ±0.11 45
HOANG
2004
THEO
4.25 ±0.11 46
MCNEILE
2004
LATT
4.22 ±0.09 47
BAUER
2003
THEO
4.19 ±0.05 48
BORDES
2003
THEO
4.20 ±0.09 49
CORCELLA
2003
THEO
4.33 ±0.10 50
DEDIVITIIS
2003
LATT
4.24 ±0.10 51
EIDEMULLER
2003
THEO
4.207 ±0.03 52
ERLER
2003
THEO
4.33 ±0.06 ±0.10 53
MAHMOOD
2003
CLEO
4.190 ±0.032 54
BRAMBILLA
2002
THEO
4.346 ±0.070 55
PENIN
2002
THEO
1  APARISI 2022 determine mb at the Higgs mass, mb(mH) = 2.60 0.31+0.36 GeV from Higgs boson decay rates at the LHC, which is used to obtain mb(mb).
2  HATTON 2021 determine mb(3 GeV) = 4.513 ±0.026 GeV using a lattice QCD + quenched QED simulation using the HISQ action and including nf = 2+1+1 flavors of sea quarks, by combining their mb/mc and mc determinations.
3  NARISON 2020 determines the quark mass using QCD Laplace sum rules from the Bc mass, combined with previous determinations of the QCD condensates and c and b masses.
4  ABRAMOWICZ 2018 determine mb(mb) = 4.049 0.109+0.1040.032+0.0900.031+0.001 from the production of b quarks in ep collisions at HERA using combined H1 and ZEUS data. The experimental/fitting errors, and those from modeling and parameterization have been combined in quadrature.
5  BAZAVOV 2018 determine the b mass using a lattice computation with staggered fermions and five active quark flavors.
6  PESET 2018 determine mc(mc) and mb(mb) using an N3LO calculation of the ηc, ηb and Bc masses.
7  KIYO 2016 determine mb(mb) from the Υ(1S) mass at order αs3 (N3LO).
8  ALBERTI 2015 determine mb(mb) from fits to inclusive B Xceν decay. They also find mbkin(1 GeV) = 4.553 ±0.020 GeV.
9  BENEKE 2015 determine mb(mb) using sum rules for e+ e hadrons at order N3LO including finite mc effects. They find mbPS(2 GeV) = 4.532 0.039+0.013 GeV, and mb(mb) = 4.193 0.035+0.022 GeV. The value quoted is obtained using the four-loop conversion given in BENEKE 2016.
10  COLQUHOUN 2015 determine mb(mb) from moments of the vector current correlator computed with a lattice simulation using the NRQCD action.
11  DEHNADI 2015 determine mb(mb) using sum rules for e+ e hadrons at order αs3 (N3LO), and fitting to both experimental data and lattice results.
12  BERNARDONI 2014 determine mb from nf = 2 lattice calculations using heavy quark effective theory non-perturbatively renormalized and matched to QCD at 1/m order.
13  PENIN 2014 determine mb(mb) = 4.169 ±0.008 ±0.002 ±0.002 using an estimate of the order αs3b-quark vacuum polarization function in the threshold region, including finite mc effects. The errors of ±0.008 from theoretical uncertainties, and ±0.002 from αs have been combined in quadrature.
14  LEE 2013O determines mb using lattice calculations of the Υ and Bs binding energies in NRQCD, including three light dynamical quark flavors. The quark mass shift in NRQCD is determined to order αs2, with partial αs3 contributions.
15  LUCHA 2013 determines mb from QCD sum rules for heavy-light currents using the lattice value for fB of 191.5 ±7.3 GeV.
16  BODENSTEIN 2012 determine mb using sum rules for the vector current correlator and the e+ e QQ total cross-section.
17  DIMOPOULOS 2012 determine quark masses from a lattice computation using nf = 2 dynamical flavors of twisted mass fermions.
18  LASCHKA 2011 determine the b mass from the charmonium spectrum. The theoretical computation uses the heavy potential to order 1/mQ obtained by matching the short-distance perturbative result onto lattice QCD result at larger scales.
19  AUBERT 2010A determine the b- and c-quark masses from a fit to the inclusive decay spectra in semileptonic B decays in the kinetic scheme (and convert it to the MS scheme).
20  CHETYRKIN 2009 determine mc and mb from the e+ e QQ cross-section and sum rules, using an order αs3 (N3LO) computation of the heavy quark vacuum polarization.
21  SCHWANDA 2008 measure moments of the inclusive photon spectrum in B Xsγ decay to determine mb1S. We have converted this to MS scheme.
22  NARISON 2018A determines mb(mb) as a function of αs using QCD exponential sum rules and their ratios evaluated at the optimal scale μ = 9.5 GeV at N2LO-N3LO of perturbative QCD and including condensates up to dimension 68 in the (axial-)vector and (pseudo-)scalar bottomonium channels.
23  NARISON 2018B determines mb(mb) using QCD vector moment sum rules and their ratios at N2LO-N3LO of perturbative QCD and including condensates up to dimension 8.
24  ABRAMOWICZ 2014A determine mb(mb) = 4.07 ±0.14 0.07+0.010.00+0.050.05+0.08 from the production of b quarks in ep collisions at HERA. The errors due to fitting, modeling, PDF parameterization, and theoretical QCD uncertainties due to the values of αs, mc, and the renormalization scale μ have been combined in quadrature.
25  AYALA 2014A determine mb(mb) from the Υ(1S) mass computed to N3LO order in perturbation theory using a renormalon subtracted scheme.
26  NARISON 2013 determines mb using QCD spectral sum rules to order αs2 (NNLO) and including condensates up to dimension 6.
27  NARISON 2013A determines mb using HQET sum rules to order αs2 (NNLO) and the B meson mass and decay constant.
28  HOANG 2012 determine mb using non-relativistic sum rules for the Υ system at order αs2 (NNLO) with renormalization group improvement.
29  NARISON 2012 determines mb using exponential sum rules for the vector current correlator to order αs3, including the effect of gluon condensates up to dimension eight.
30  Determines mb to order αs3 (N3LO), including the effect of gluon condensates up to dimension eight combining the methods of NARISON 2012 and NARISON 2012A.
31  NARISON 2012A determines mb using sum rules for the vector current correlator to order αs3, including the effect of gluon condensates up to dimension eight.
32  MCNEILE 2010 determines mb by comparing order αs3 (N3LO) perturbative results for the pseudo-scalar current to lattice simulations with nf = 2+1 sea-quarks by the HPQCD collaboration.
33  NARISON 2010 determines mb from ratios of moments of vector current correlators computed to order αs3 and including the dimension-six gluon condensate. These values are taken from the erratum to that reference.
34  ABDALLAH 2008D determine mb(MZ) = 3.76 ±1.0 GeV from a leading order study of four-jet rates at LEP.
35  GUAZZINI 2008 determine mb(mb) from a quenched lattice simulation of heavy meson masses. The ±0.08 is an estimate of the quenching error.
36  DELLA-MORTE 2007 determine mb(mb) from a computation of the spin-averaged B meson mass using quenched lattice HQET at order 1/m. The ±0.08 is an estimate of the quenching error.
37  KUHN 2007 determine mb(μ = 10 GeV) = 3.609 ±0.025 GeV and mb(mb) from a four-loop sum-rule computation of the cross-section for e+ e hadrons in the bottom threshold region.
38  ABDALLAH 2006D determine mb(MZ) = 2.85 ±0.32 GeV from Z-decay three-jet events containing a b-quark.
39  BOUGHEZAL 2006 MS scheme result comes from the first moment of the hadronic production cross-section to order αs3.
40  BUCHMUELLER 2006 determine mb and mc by a global fit to inclusive B decay spectra.
41  PINEDA 2006 MS scheme result comes from a partial NNLL evaluation (complete at order αs2 (NNLO)) of sum rules of the bottom production cross-section in e+e annihilation.
42  GRAY 2005 determines mb(mb) from a lattice computation of the Υ spectrum. The simulations have 2+1 dynamical light flavors. The b quark is implemented using NRQCD.
43  AUBERT 2004X obtain mb from a fit to the hadron mass and lepton energy distributions in semileptonic B decay. The paper quotes values in the kinetic scheme. The MS value has been provided by the BABAR collaboration.
44  BAUER 2004 determine mb, mc and mbmc by a global fit to inclusive B decay spectra.
45  HOANG 2004 determines mb(mb) from moments at order αs2 of the bottom production cross-section in e+e annihilation.
46  MCNEILE 2004 use lattice QCD with dynamical light quarks and a static heavy quark to compute the masses of heavy-light mesons.
47  BAUER 2003 determine the b quark mass by a global fit to B decay observables. The experimental data includes lepton energy and hadron invariant mass moments in semileptonic B Xcν decay, and the inclusive photon spectrum in B Xsγ decay. The theoretical expressions used are of order 1/m3, and αs2β0.
48  BORDES 2003 determines mb using QCD finite energy sum rules to order αs2.
49  CORCELLA 2003 determines mb using sum rules computed to order αs2. Includes charm quark mass effects.
50  DEDIVITIIS 2003 use a quenched lattice computation of heavy-heavy and heavy-light meson masses.
51  EIDEMULLER 2003 determines mb and mc using QCD sum rules.
52  ERLER 2003 determines mb and mc using QCD sum rules. Includes recent BES data.
53  MAHMOOD 2003 determines mb1S by a fit to the lepton energy moments in B Xcν decay. The theoretical expressions used are of order 1/m3 and αs2β0. We have converted their result to the MS scheme.
54  BRAMBILLA 2002 determine mb(mb) from a computation of the Υ(1S) mass to order αs4, including finite mc corrections.
55  PENIN 2002 determines mb from the spectrum of the Υ system.

           b-QUARK MS MASS (GeV)
References