y. sumino (tohoku univ.) development in theory of heavy quarkonia and precision determination of...
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Y. Sumino
(Tohoku Univ.)
Development in theory of heavy quarkonia and
precision determination of heavy quark masses
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☆Plan of Talk1. Before 1998: Theoretical problem
IR renomalon
2. Around 1998: Drastic improvement
Discovery of cancellation of renormalons
Interpretation
3. After 1998: Theoretical development and applications
EFT, higher-order calc.
Spectroscopy
Determinations of mb, mc (mt )
Determination of as
Physical picture (gluon config.)
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Folklore: pert. , non-pert.
Inconsistency with OPE for:
non-pert.
Brambilla, Pineda, Soto, Vairo
tree
2-loop1-loop
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Asymptotically=
Most dominant part is indep. of !
~L
n-t
h te
rm o
f -V
LL
ill defined
Renormalon in the QCD potential Aglietti, Ligeti
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PinedaHoang,Smith,Stelzer,Willenbrock Beneke
Accuracy of perturbative predictions for the QCD potential
improved drastically around year 1998.
If we re-express the quark pole mass ( )
by the MS mass ( ), IR renormalons cancel
in .
cancel
Expanding for small ,
the leading renormalons cancel . much more convergent series
Residual renormalon:
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Leading log approximation
Exact pert. potential up to 3 loops
Anzai,Kiyo,Y.S.
N=0
N=0
N=3
N=3
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Y.S.
pert. , non-pert.
Folklore ruled out
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Rapid growth of masses of excited states originates fromrapid growth of self-energies of Q & Q due to IR gluons.
Brambilla, Y.S., Vairo
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3. After 1998: Theoretical development and Applications
EFT, higher-order calc.
Spectroscopy
Determinations of mb, mc (mt )
Determination of as
Physical picture (gluon config.)
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Application to quarkonium spectroscopy and determination of .
• Global level structure of bottomonium is reproduced. Brambilla, Y.S., Vairo
• Fine and hyperfine splittings of charmonium/bottomonium reproduced.
• Determination of bottom and charm quark MS masses:
Brambilla, Y.S., Vairo
In particular, mass of is predicted correctly. Recksiegel, Y.S.
However, mass of disagrees:
• Relation between lattice and MS is accurately measured (quenched approx.)
Y.S.
Recksiegel, Y.S
(prediction)
(exp.09)
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Application to quarkonium spectroscopy and determination of .
• Global level structure of bottomonium is reproduced. Brambilla, Y.S., Vairo
• Fine and hyperfine splittings of charmonium/bottomonium reproduced.
• Determination of bottom and charm quark MS masses:
Brambilla, Y.S., Vairo
In particular, mass of is predicted correctly. Recksiegel, Y.S.
However, mass of disagrees:
• Relation between lattice and MS is accurately measured (quenched approx.)
Y.S.
Recksiegel, Y.S
(prediction)
(exp.09)
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Application to quarkonium spectroscopy and determination of .
• Global level structure of bottomonium is reproduced. Brambilla, Y.S., Vairo
• Fine and hyperfine splittings of charmonium/bottomonium reproduced.
• Determination of bottom and charm quark MS masses (also prospects for mt):
In particular, mass of is predicted correctly. Recksiegel, Y.S.
However, mass of disagrees:
• Relation between lattice and MS is accurately measured (quenched approx.)
Y.S.
Recksiegel, Y.S
(prediction)
(exp.09)
Brambilla, Y.S., Vairo
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Motivation for precision determinations of heavy quark masses
• Bottom quark
• Top quark
• Constraints on b-t mass ratio of SU(5) GUT models
• Input param. for b-physics (e.g. ) LHCb, Super-B factory
• The only quark mass without MS mass in current PDG data
• Test of MSSM prediction for Higgs mass at LHC
More generally, tests of Yukawa couplings at LHC and beyond.
cf. LHC
ILC
What mass?
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Application to quarkonium spectroscopy and determination of .
• Global level structure of bottomonium is reproduced. Brambilla, Y.S., Vairo
• Fine and hyperfine splittings of charmonium/bottomonium reproduced.
• Determination of bottom and charm quark MS masses (also prospects for mt):
In particular, mass of is predicted correctly. Recksiegel, Y.S.
However, mass of disagrees:
• Relation between lattice and MS is accurately measured (quenched approx.)
Y.S.
Recksiegel, Y.S
(prediction)
(exp.09)
Brambilla, Y.S., Vairo
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Particle Data Group 2010
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Prospects for precision determination of mt from Mtt(1S)
Hoang, et al.Hagiwara,Y.S.,YokoyaKiyo, et al.
in the threshold region@ future Linear Collider
(threshold region)@LHC
significantly smaller than 1GeV?
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Application to quarkonium spectroscopy and determination of .
• Global level structure of bottomonium is reproduced. Brambilla, Y.S., Vairo
• Fine and hyperfine splittings of charmonium/bottomonium reproduced.
• Determination of bottom and charm quark MS masses:
Brambilla, Y.S., Vairo
In particular, mass of is predicted correctly. Recksiegel, Y.S.
However, mass of disagrees:
• Relation between lattice and MS is accurately measured (quenched approx.)
Y.S.
Brambilla,Tomo,Soto,Vairo
Recksiegel, Y.S
(prediction)
(exp.09)
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☆Summary1. Before 1998: Theoretical problem
IR renomalon
2. Around 1998: Drastic improvement
Discovery of cancellation of renormalons
Interpretation
3. After 1998: Theoretical development and applications
EFT, higher-order calc.
Spectroscopy
Determinations of mb, mc (mt )
Determination of as
Physical picture (gluon config.)
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m dependence and convergence of Mtt(1S)
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Interquark force
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Wilson coeff. non-pert. contr.
cancel
Y.S. Including 3-loop QCD pot.
Brambilla,Tomo,Soto,Vairo