y. sumino (tohoku univ.) development in theory of heavy quarkonia and precision determination of...
TRANSCRIPT
Y. Sumino
(Tohoku Univ.)
Development in theory of heavy quarkonia and
precision determination of heavy quark masses
☆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.)
Folklore: pert. , non-pert.
Inconsistency with OPE for:
non-pert.
Brambilla, Pineda, Soto, Vairo
tree
2-loop1-loop
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
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:
Leading log approximation
Exact pert. potential up to 3 loops
Anzai,Kiyo,Y.S.
N=0
N=0
N=3
N=3
Y.S.
pert. , non-pert.
Folklore ruled out
Rapid growth of masses of excited states originates fromrapid growth of self-energies of Q & Q due to IR gluons.
Brambilla, Y.S., Vairo
3. After 1998: Theoretical development and Applications
EFT, higher-order calc.
Spectroscopy
Determinations of mb, mc (mt )
Determination of as
Physical picture (gluon config.)
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)
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)
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
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?
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
Particle Data Group 2010
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?
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)
☆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.)
m dependence and convergence of Mtt(1S)
Interquark force
Wilson coeff. non-pert. contr.
cancel
Y.S. Including 3-loop QCD pot.
Brambilla,Tomo,Soto,Vairo