hvp contribution to muon (g-2) and recent ......hvp contribution to muon (g-2) and recent results...
Post on 08-Jul-2020
8 Views
Preview:
TRANSCRIPT
HVP CONTRIBUTION TO MUON
(G-2) AND RECENT RESULTS
FROM VEPP-2000
Logashenko Ivan
Budker Institute of Nuclear Physics
Novosibirsk State University
Fundamental Constants Meeting 2015
The SM value of ๐๐: today
โข QED: Kinoshita et al., 2012: up to 5 loops (12672 diagrams). 0.7 ppb
โข EW: 2 loops, now Higgs mass is known. 9 ppb
โข Hadronic
LBL: model-dependent calculations; improvement is expected from lattice calculations
HVP: the value is based on the hadronic cross-section ๐+๐โ data; there are effort to get it via lattice calculations.
Logashenko Ivan FCM2015 2
370 ppb 10 ppb 220 ppb
New experiment at FNAL: 140 ppb
The lowest-order hadronic contribution
FCM2015
0.01 ppm 0.22 ppm
The hadronic contribution is
calculated by integrating experimental
cross-section ๐ ๐+๐โ โ โ๐๐๐๐๐๐ .
Weighting function ~1/๐ , therefore
lower energies contribute the most.
Starting from ๐ ~2 ๐บ๐๐ the pQCD
estimation of ๐ ๐+๐โ โ โ๐๐๐๐๐๐ is
used. At lower energies only the
experimental data are used.
Many sources of data:
โข Novosibirsk: CMD-2 and SND
(VEPP-2M), CMD-3 and SND
(VEPP-2000)
โข Factories: Babar, KLOE
โข BES
Logashenko Ivan 3
Inclusive vs exclusive measurements
FCM2015
Exclusive approach:
โข measure each final state separately and calculate the sum
VEPP-2M, VEPP-2000, Babar, KLOE
Inclusive approach:
โข select events with any hadron(s) in the final state
BES, KEDR (now)
Logashenko Ivan 4
Inclusive measurement at BES
FCM2015
๐น =๐ ๐+๐โ โ ๐๐๐ ๐๐๐๐
๐ ๐+๐โ โ ๐+๐โ
Logashenko Ivan 5
There is ongoing R measurement with KEDR detector at VEPP-4M (Novosibirsk)
ISR approach
FCM2015
e
e
hadrons
s sโ
2( hadrons ) ( , ) ( hadrons)d e e H Q d e e
Main idea: cross-section
is measured in the wide
energy range, using
events with hard photon,
emitted by initial
particles.
New approach to measurement of the hadronic cross-sections was fully developed
over last decade: ISR (Initial State Radiation), mainly by BaBar and KLOE.
BaBar
Logashenko Ivan 6
๐+๐โ โ ๐+๐โ and the hadronic
contribution
FCM2015
In units of hadronic contribution:
๐ฟ๐๐๐ป๐๐ = 0.6%
ฮa๐ exp โ theory โ 4.0% ยฑ 1.1%
Estimated accuracy of Fermilab
experiment
๐ฟ๐๐ = 0.25%
Energy range ๐ < 2 GeV contribute
>90% of the ๐๐๐ป๐๐ value
๐+๐โ โ ๐+๐โ alone contribute 73% of
the value and 0.45% out of 0.6% of
the error
VEPP-2000 goal: measure ๐(๐+๐โ โ๐+๐โ) with systematic accuracy of
~0.3% and small statistical errors
Logashenko Ivan 7
Contribution to the value and error of
๐๐โ๐๐,๐ฟ๐
from different energy ranges
Do existing data agree?
FCM2015Logashenko Ivan 8
Cross section ๐+๐โ โ ๐ +๐ โ
CMD-2 fit
0.35%
VEPP-2M data ISR data
โข In integral, there is reasonable agreement between existing data sets
โข But there are local disagreements well beyond claimed syst.errors
VEPP-2000 and the world
FCM2015
VEPP-2M
Babar/Belle (ISR)
KLOE (ISR)
VEPP-2000
Tau decays
ะะะะ
BESBES (ISR)
VEPP-2000: direct exclusive measurement of ๐ ๐+๐โ โ โ๐๐๐๐๐๐ World-best luminosity below 2 GeV (1 GeV excluded)
Logashenko Ivan 9
There was VEPP-2M
FCM2015
Energy range: 0.36 โ 1.4 GeV
Luminosity up to 5*1030 1/cm2s
Logashenko Ivan 10
Cross-section measurements at VEPP-2M
FCM2015
Hadronic cross-section measurements with precision from <1% to ~5%
Logashenko Ivan 11
From VEPP-2M to VEPP-2000
FCM2015
2001
2010
Main VEPP-2000 advantages:
โข maximum energy up to 2 GeV
โข higher luminosity
2001 VEPP-2M decommissioned
2010 first engineering run at
VEPP-2000 collider with 2
new detectors: CMD-3 and
SND
Logashenko Ivan 12
VEPP-2000 (2010-2013)
FCM2015
ILU3 MeVLinac
B-3M250 MeVsynchro-betatron
BEPe+,e
booster
825 MeV SND
CMD-3
e e+
converter
2 m2 m
VEPP-2000
Maximum c.m. energy is 2 GeV, project luminosity is ๐ฟ = 10321/๐๐2๐ at ๐ = 2 GeV
Unique optics, โround beamsโ, allows to reach higher luminosity
Experiments with two detectors, CMD-3 and SND, started by the end of 2010
Logashenko Ivan 13
Energy measurement
FCM2015
Starting from 2012, energy is monitored continuously using compton backscattering
MeV
Logashenko Ivan 14
Detector CMD-3
FCM2015Logashenko Ivan 15
DC
ZC
LXe
CsIBGO
TOF
Mu Advantages compared to CMD-2:
โข new drift chamber with two times
better resolution, higher B field
better tracking
better momentum resolution
โข thicker barrel calorimeter
(8.3๐0 โ 13.4 ๐0)
better particle separation
โข LXe calorimeter
measurement of conversion
point for ฮณโs
measurement of shower profile
โข TOF system
particle id (mainly ๐, ๐)
Detector SND
Logashenko Ivan FCM2015 16
1 โ beam pipe
2 โ tracking system
3 โ aerogel
4 โ NaI(Tl) crystals
5 โ phototriodes
6 โ muon absorber
7โ9 โ muon detector
10 โ focusing solenoid
Advantages compared to previous SND:
โข new system - Cherenkov counter (n=1.05, 1.13)
e/ฯ separation E<450 MeV
ฯ/K separation E<1 GeV
โข new drift chamber
better tracking
better determination of solid angle
Logashenko Ivan FCM2015 17
Collected luminosity
FCM2015
Currently the luminosity is limited by a deficit
of positrons (from ๐ธ > 650 MeV) and limited
energy of the booster (from ๐ธ > 825 MeV).
After upgrade (ongoing) we expect luminosity
increase by up to factor 10 at maximum
energy.
Beam energy, 2E, MeV
Lum
inosi
ty, 1/c
m2s
Energy ramping
Limited e+
production
CMD-3 data, average per run
About 60 pb-1 collected per detector
๐(782) 8.3 1/๐๐
2๐ธ < 1 GeV (except ๐) 9.4 1/๐๐
๐(1019) 8.4 1/๐๐
2๐ธ > 1.04 GeV 34.5 1/๐๐
BaBar
Logashenko Ivan 18
VEPP-2000 after upgrade (2015-)
Logashenko Ivan FCM2015 19
BEPe+,e
booster
1000 MeV
SND
CMD-3
VEPP-2000
250 m
beamline
๐+ ๐โ source
โข New positron source โ
no luminosity limitation
due to lack of ๐+
โข Booster energy
increased to 1 Gev โ no
deadtime due to energy
ramping
Physics program
FCM2015
1. Precision measurement of ๐ = (๐+๐โ โ โ๐๐๐๐๐๐ )/ ๐(๐+๐โ โ ๐+๐โ)
exclusive approach, up to <1% for major modes
2. Study of hadronic final states:
๐+๐โ โ 2โ, 3โ, 4โ, โฆ โ = ๐, ๐พ, ๐
3. Study of vector mesons and theirs excitations:
โ,โโ,โ,โ, โฆ
4. Comparison of cross-sections ๐+๐โ โ โ๐๐๐๐๐๐ (๐ = 1) with spectral
functions of ๐-decays
5. Study of nucleon electromagnetic formfactor at threshold
๐+๐โ โ ๐ ๐, ๐ ๐
6. Measurement of the cross-sections using ISR
7. Study of higher order QED processes
Overall, we plan to collect 0.5 รท 1 1/fb
Logashenko Ivan 20
๐+๐โ โ ๐+๐โ cross section
Logashenko Ivan FCM2015 21
1. Select final state with 2 back-to-back
charged particles
Cuts: pavr, ฮ๐, ฮฮ, ฮ๐
Fiducial volume:
ฮ0 โค ฮ๐๐ฃ๐ โค ๐ โ ฮ0 , ฮ0 = 0.9โฆ1.1
2. Identify ๐+๐โ, ๐+๐โ, ๐+๐โ and background
3. Use โmasterโ formula:
๐น๐2 =
๐๐๐๐๐๐
๐๐๐๐ต 1 + ๐ฟ๐๐ ํ๐๐
๐๐๐๐ต 1 + ๐ฟ๐๐ ํ๐๐
๐ ๐+๐โ โ ๐+๐โ =๐๐ผ2
3๐ 1 โ
4๐๐2
๐
3/2
๐น๐2
ฮ
๐+ ๐โ
๐+
๐โ
๐๐๐ต - โBornโ cross-section ๐+๐โ โ ๐, point-like pions; ๐ฟ๐ - radiative correction;
ํ๐ - detection efficiency (not including acceptance)
๐+๐โ โ ๐+๐โ: ๐, ๐, ๐ separation
FCM2015
Energy deposition, MeV, -
En
erg
y d
ep
ositio
n, M
eV
, +
Momentum, MeV/c, -
Mom
entu
m, M
eV
/c, +
๐ = 500 ๐๐๐
๐ = 500 ๐๐๐
660 ๐๐๐
660 ๐๐๐
960 ๐๐๐
960 ๐๐๐
Simulated muons
๐
๐
๐
๐
๐ , ๐
Data
Ca
lorim
ete
rD
rift C
ham
ber
Logashenko Ivan 22
๐+๐โ โ ๐+๐โ: VERY preliminary results
Logashenko Ivan FCM2015 23
๐น๐2
๐ ๐ ๐ separation
by momentum by energy deposition
2013 data
CMD-3
๐๐๐ ๐๐๐ ๐๐ฅ๐
๐๐๐ ๐๐๐ ๐๐ธ๐ท
Work in
progress
๐+๐โ โ ๐+๐โ: statistics and systematics
FCM2015
Main sources of systematics:
โข ๐ ๐ ๐ separation โ 0.2%
multiple ways to get detector
response from data itself
โข fiducial volume โ 0.1%
2 independent systems, which can
be used to determine fiducial
volume
โข beam energy โ 0.1%
constant monitoring with Compton
backscattering
โข radiative corrections โ 0.1%
proof from data
Many systematic studies rely on
high statistics
Expected statistical error for 2013 data
Logashenko Ivan 24
๐+๐โ โ ๐พ+๐พโ
Logashenko Ivan FCM2015 25
CMD-3, @๐ 1020
There is discrepancy
between CMD-2 and
BABAR
SND, above ๐ 1020
Complicated ๐(๐ ) due to
interference of excited vector
resonances
Aerogel Cherenkov counters
provide kaons ID
๐+๐โ โ ๐+๐โ๐พ๐พ ๐พ๐พ = ๐0, ๐
Logashenko Ivan FCM2015 26
Preliminary results from SND, using about 50% of available data.
Estimated systematic error ~5%.
There is ongoing analysis to measure 3๐ cross section below ๐
๐+๐โ โ 4๐
Logashenko Ivan FCM2015 27
Ec.m (GeV)
CMD-3
๐ +๐ โ๐ +๐ โSND
๐ +๐ โ๐ ๐๐ ๐
Need to measure these channels to few %.
The dominant source of systematic error is the model uncertainty (evaluation of
the detector acceptance). High statistics allows for more accurate study of the
dynamics.
PRELIMINARY
๐+๐โ โ ๐พ+๐พโ๐+๐โ
Logashenko Ivan FCM2015 28
Many intermediate states: ๐พโ๐พ๐, ๐๐พ๐พ, ๐๐๐, ๐พโ๐พโ, โฆ
PRELIMINARY
๐+๐โ โ 5๐
Logashenko Ivan 29FCM2015
Dominated by intermediate ๐ and ๐
๐ and ๐ are observed in several final
states, e.g. ๐ โ 3๐ and ๐ โ 2๐พ
Expected systematic is 10%
Cross section ๐+๐โ โ ๐๐+๐โ
๐ โ 3๐
๐ โ 2๐พ
Invariant mass of 3๐
๐
๐
๐+๐โ โ 6๐
Logashenko Ivan FCM2015 30
๐ ๐threshold
Systematic error is 6%, main source is model dependence. High statistics
will help to reduce this error.
Preliminary studies of dynamics of ๐+๐โ โ 3(๐+๐โ):
โข Main production mode: ๐ 770 + 4๐ (phase space or ๐0(1370))
โข Hint of energy dependent dynamics in 1.7-1.9 GeV energy range
Phys.Lett.
B723 (2013)
82-89
๐+๐โ โ ๐(๐ +๐ โ)
๐+๐โ โ ๐ ๐
Logashenko Ivan FCM2015 31
๐๐
๐ฮฉ=๐ผ2๐ฝ๐ถ
4๐ ๐บ๐ ๐ 2 1 + cos2 ฮ +
4๐2
๐ ๐บ๐ธ ๐ 2 sin2 ฮ
๐(๐+๐โ โ ๐ ๐)
๐ ๐ ๐ ๐๐๐ ๐ฏ
PID by dE/dx, secondaries
Angular distribution allows to
measure | ๐บ๐ธ ๐บ๐ |
CMD3
Need more statistics
๐+๐โ โ ๐ ๐ at SND
Logashenko Ivan FCM2015 32
Phys. Rev. D 90, 112007 (2014)
๐น 2 =๐บ๐
2 + ๐บ๐ธ2 2๐
1 + 1 2๐, ๐ =
๐
4๐๐2
Effective formfactor
๐(๐+๐โ โ ๐ ๐)
Conclusion
โข In 2011-2013 CMD-3 and SND have collected 60-70 1/pb per
detector in the whole energy range 0.32 โค ๐ โค 2.0 GeV,
available at VEPP-2000. Collected integral is similar to the total
integral available before.
โข Data analysis of many inclusive modes of ๐+๐โ โ โ๐๐๐๐๐๐ is in
progress. First results (๐๐0, 6๐, ๐๐พ, ๐โฒ) have been published.
โข After VEPP-2000 upgrade (scheduled to be finished in 2015)
we plan to resume data taking with the ultimate goal of 1 1/fb
โข We expect to produce new precise measurements of hadron
production R(s), to improve the precision of the hadronic
contribution to muon (g-2)
FCM2015Logashenko Ivan 33
top related