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Probing Physics beyond the Standard Modelvia Precision Particle Physics
Daisuke Nomura (野村大輔)
Lunch seminar at YITP, April 16, 2014
D. Nomura (YITP) Probing bsm physics via precision particle physics April 16, 2014 1 / 18
Lots of ways to search for (more) fundamental theory ofelementary particles:
String/M theory
Cosmology
Model building
Physics at colliders, e.g. LHC, ILC, . . .
Precision particle physics...
D. Nomura (YITP) Probing bsm physics via precision particle physics April 16, 2014 2 / 18
Precision particle physics
Assuming a well-established theory (e.g. theStandard Model), calculate physical observables atlow energies as precisely as possible. Compare themwith experiments.
If there is a significant deviation between theory andexp., it may be a hint for new physics.
If the precision is high enough, we can infer physicsat higher enegies without using high energyexperiments like LHC & ILC.
Typical observables: the anomalous magneticmoment of the muon (the muon g − 2), flavorviolation (b → sγ, µ → eγ, · · · )
D. Nomura (YITP) Probing bsm physics via precision particle physics April 16, 2014 3 / 18
Article in “Nikkei Science” April 2014 Issue
D. Nomura (YITP) Probing bsm physics via precision particle physics April 16, 2014 4 / 18
Muon g − 2: introduction
D. Nomura (YITP) Probing bsm physics via precision particle physics April 16, 2014 5 / 18
Introduction: Standard Model prediction for muon g − 2
QED contribution 11 658 471.808 (0.015) Kinoshita & Nio, Aoyama et al
EW contribution 15.4 (0.2) Czarnecki et al
Hadronic contributions
LO hadronic 694.9 (4.3) HLMNT11
NLO hadronic −9.8 (0.1) HLMNT11
light-by-light 10.5 (2.6) Prades, de Rafael & Vainshtein
Theory TOTAL 11 659 182.8 (4.9)
Experiment 11 659 208.9 (6.3) world avg
Exp − Theory 26.1 (8.0) 3.3 σ discrepancy
(in units of 10−10. Numbers taken from HLMNT11, arXiv:1105.3149)
n.b.: hadronic contributions:. .
. .
had.
LO
µ
had.
NLO
µγ
had.
l-by-l
µ
D. Nomura (YITP) Probing bsm physics via precision particle physics April 16, 2014 6 / 18
Introduction for ahad,LOµ
The diagram to be evaluated:
.
.
.
.
had.
µ
pQCD not useful. Use the dispersionrelation and the optical theorem.
.
.
.
.
had.
=∫
ds
π(s−q2)Im
had.
2 Im
had.
=∑
dΦ
∫ 2
had.
ahad,LOµ =
m2µ
12π3
∫ ∞
sth
ds1sK̂(s)σhad(s)
0
250
500
750
1000
1250
1500
1750
2000
2250
2500
1 10
J/ψ ψ(2S) ϒ
√s (GeV)
(2 α
2/
3 π
2)
K(s
) R
(s)
× 1
01
0
0.2 –0.2 1 10√s (GeV)
• Weight function K̂(s)/s = O(1)/s=⇒ Lower energies more important=⇒ π+π− channel: 73% of total ahad,LO
µ
D. Nomura (YITP) Probing bsm physics via precision particle physics April 16, 2014 7 / 18
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D. Nomura (YITP) Probing bsm physics via precision particle physics April 16, 2014 8 / 18
Important Channels
Contributions for√s < 1.8GeV:
channel HLMNT11 Davier et al ’10 diffπ+π− 505.65 ± 3.09 507.80 ± 2.84 −2.15π+π−π0 47.38 ± 0.99 46.00 ± 1.48 1.38K+K− 22.09 ± 0.46 21.63 ± 0.73 0.46π+π−2π0 18.62 ± 1.15 18.01 ± 1.24 0.612π+2π− 13.50 ± 0.44 13.35 ± 0.53 0.15K0
SK0L 13.32 ± 0.16 12.96 ± 0.39 0.36
π0γ 4.54 ± 0.14 4.42 ± 0.19 0.12...
......
...Sum 634.28 ± 3.53 633.93 ± 3.61 0.35
table taken from HLMNT11D. Nomura (YITP) Probing bsm physics via precision particle physics April 16, 2014 9 / 18
π+π− channel: Low Energy Tail
0
50
100
150
200
0.3 0.32 0.34 0.36 0.38 0.4 0.42 0.44
σ0 (e+e- →
π+π- )
[nb]
√s [GeV]
New FitBaBar (09)KLOE (10)
CMD-2 (06)SND (06)
OLYA-VEPP2TOF-VEPP 2M
NA7CMD-VEPP 2M
ChPT
D. Nomura (YITP) Probing bsm physics via precision particle physics April 16, 2014 10 / 18
π+π− channel: New Radiative Return Data
0
200
400
600
800
1000
1200
1400
0.6 0.65 0.7 0.75 0.8 0.85 0.9 0.95
σ0 (e+e- →
π+π- )
[nb]
√s [GeV]
BaBar (09)New Fit
KLOE (10)KLOE (08)
D. Nomura (YITP) Probing bsm physics via precision particle physics April 16, 2014 11 / 18
π+π− channel: Zoom-In at ρ-ω Region
600
700
800
900
1000
1100
1200
1300
1400
0.74 0.75 0.76 0.77 0.78 0.79 0.8 0.81 0.82
σ0 (e+e- →
π+π- )
[nb]
√s [GeV]
BaBar (09)New Fit
KLOE (10)KLOE (08)
CMD-2 (07)SND (06)
CMD-2 (04)
D. Nomura (YITP) Probing bsm physics via precision particle physics April 16, 2014 12 / 18
Rad. Rtn. Data (for π+π−) and Our Combined Result
-0.06
-0.04
-0.02
0
0.02
0.04
0.06
0.08
0.6 0.65 0.7 0.75 0.8 0.85 0.9 0.95
(σ0 R
adR
et S
ets
- σ0 F
it)/σ
0 Fit
√s [GeV]
New FitBaBar (09)
New Fit (local χ2 inf)KLOE (08)KLOE (10)
D. Nomura (YITP) Probing bsm physics via precision particle physics April 16, 2014 13 / 18
Results: ahad,LOµ , ahad,NLO
µ and ∆α(5)had(M
2Z)
aµhad,LO VP
∆α(5)had (M 2
Z)
value (error)2
mπ
0.6
0.9
1.42
∞rad.
mπ0.6
0.91.4
2∞
mπ 0.60.9
1.42
4
11
∞rad.
mπ 0.60.91.4
2
4
11
∞
ahad,LOµ =(694.91 ± 3.72exp ± 2.10rad) × 10−10
ahad,NLOµ =(−9.84 ± 0.06exp ± 0.04rad) × 10−10
∆α(5)had(M
2Z) =(276.26 ± 1.16exp ± 0.74rad) × 10−4
D. Nomura (YITP) Probing bsm physics via precision particle physics April 16, 2014 14 / 18
Full SM Result and Comparison with Other Groups
170 180 190 200 210
aµ × 1010 – 11659000
HMNT (06)
JN (09)
Davier et al, τ (10)
Davier et al, e+e– (10)
JS (11)
HLMNT (10)
HLMNT (11)
experiment
BNL
BNL (new from shift in λ)
D. Nomura (YITP) Probing bsm physics via precision particle physics April 16, 2014 15 / 18
SUSY Contributions to Muon g − 2
Suppose that the 3.3 σ deviation is due to SUSY...Leading SUSY contributions in the mZ/mSUSY
expansion:. .
W̃ − H̃−
µL µRν̃µ
(a)
B̃
µL µ̃L
m2LR
µ̃R µR
(b)
B̃ H̃0
µL µRµ̃L
(c)
W̃ 0 H̃0
µL µRµ̃L
(d)
H̃0 B̃
µL µRµ̃R
(e)
In most cases, the χ̃±-ν̃ diagram (a) and/or the
B̃-µ̃L/R diagram (b) dominate. (Lopez-Nanopoulos-Wang,
Chattopadhyay-Nath, Moroi, · · · )D. Nomura (YITP) Probing bsm physics via precision particle physics April 16, 2014 16 / 18
MSSM Contributions to Muon g − 2
x-axis: M2
(gaugino mass)
y-axis: ml̃
(slepton mass)
Figs from Cho,Hagiwara, Matsumoto,
and DN
D. Nomura (YITP) Probing bsm physics via precision particle physics April 16, 2014 17 / 18
Summary
Precision particle physics: powerful way to approachfundamental theory
Muon g − 2: typical example
Hadronic contrib. to the muon g − 2: key toimprove the Standard Model prediction
≳ 3 σ discrepancy between experiment and theory=⇒ New Physics?(⇔ No new physics seen at the LHC so far. Whatdoes this mean?)
Two new experiments to measure the muon g − 2planned at J-PARC and Fermilab.
D. Nomura (YITP) Probing bsm physics via precision particle physics April 16, 2014 18 / 18