Insights into Kaon Physics: Unraveling Anomalies and New Discoveries

Anomalies in Kaon Physics:
the NA62 program
Francesca Bucci (INFN, Sezione di Firenze)
on behalf of NA62 Collaboration
XIIth Meeting on B Physics.
Tensions in Flavour measurements: a path toward Physics beyond the SM
22-24 May 2017
Centro Congressi, Università di Napoli Federico II
 
Kaon Physics:
a Building Block of the SM
Discovery of 
strange particles
: first observation of a quark-flavour not
present in the ordinary matter 
[Nature 160 4077 (1947) 855]
Postulation of 
neutral meson oscillation 
[Phys. Rev 97 (1955) 1387]
 - 
 puzzle: first hint of 
P violation 
[Phys. Rev. 104 (1956) 254]
Discovery of 
CP violation 
in the K
0 
mixing 
[Phys. Rev. Lett. 13 (1964) 138]
3-quark-model
 to describe the observed meson/baryon spectra 
[Phys.
Lett. 8 (1964) 214]
Prediction of the 
c-quark 
to explain the unexpectly low observed
branching ratio of decay the K
L 
 
+
- 
[Phys. Rev. D 2 (1970) 1285]
First
 evidence of direct CP violation 
in the K
0 
[Phys. Lett. B 206 (1988) 169]
F.Bucci
2
Kaon Physics:
Toward the Present Era
Kaon Experiments 
[1995-2010]
NA48
 (CERN)
, KTeV 
(FNAL)
, KLOE 
(LNF)
, CPLEAR 
(CERN)
, E865 
(BNL)
,
 
ISTRA+
 (Protvino
)
Measurement of direct CP violation 
in the K
0 
(NA48@CERN, KTeV@FNAL)
[Phys. Lett. B 544 (2002) 97, Phys. Rev. D 83 (2010) 092001]
Test of 
CPT symmetry 
invariance 
[K.A. Olive et al. (Particle Data Group, Chin.
Phys. C, 38, 090001 (2014)]
 
Precision test of the 
CKM unitarity 
[Eur. Phys. J. C 69 (2010)]
 
Test of 
lepton universality 
[Phys. Lett. B 719 (2013) 326]
 
F.Bucci
3
Anomalies in Kaon Physics: 

/

 one of the important actors of 1990s particle physics
Strong interplay of QCD and EW penguin contributions
New results on hadronic matrix elements of QCD and EW penguin
operators leads to a prediction in the SM significantly below
experimental data.
F.Bucci
4
Buras, Gorbahn, Jager, Jamin ArXiV 1507.06345
World average from NA48 and KTeV
 3 
 discrepancy
Impact on various NP models: in particular models where there is a strong
correlation between 

/
 and the branching ratio for 
K
+

+

 and K
L

0

Z’ general (Buras, Buttazzo, Knegjens, 1507.08672), Littlest Higgs Model
(Blanke, Buras, Recksiegel, 1507.06316), 331 Models (Buras, De Fazio,
1512.02869, 1604.02344)
K

 in the SM
Flavour Changing Neutral Current process forbidden at tree level in the SM
 
Highest CKM suppression
 
 very sensitive to New Physics
Theoretical uncertainties at the level of 2% in BR but significant
parametric uncertainties due to |V
ub
|, |V
cb
| and 
F.Bucci
5
[Buras et al. arXiv:1503.02693], [Brod et al. Phys. Rev. D 83,034030 (2011)]
… and beyond the SM
Pattern of correlation between 
BR(K
+

+

) and BR(K
L

0

)
discriminates among models
 
Z
 model
[A. J. Buras, F. De Fazio and J. Girrbach
JHEP 1302 (2013) 116]
 
Randall-Sundrum
[JHEP 0903 (2009) 108]
 
Littlest Higgs
[Acta Phys. Polon. B41 (2010) 657]
F.Bucci
6
The long K

 march
First search:   1969 (10
-4
)
Observation:  1997 (10
-10
)
K
+

+

K
L

0

KOTO
KOTO
NA62 
[Phys. Rev. D77, 052003 (2008), Phys. Rev. D79, 092004 (2009)]
F.Bucci
7
The NA62 Experiment for 
K
+

+

F.Bucci
8
 
SPS proton
400 GeV
10
12
p/s
3.5 s spill
Secondary Beam
Momentum 
            75GeV/c, 
p/p 
1%
Divergence (RMS)  
100 
rad
Composition
            K(6%), 
(70%), p(23%)
Nominal rate            
33
10
11 
(750 MHz at GTK3)
Transverse size        
60
30 mm
2
Decay region
Fiducial region  
60 m length
  K
+
 decay rate    
 5 MHz
Vacuum
  
            O(10
-6
)
 
mbar
The NA62 Status
F.Bucci
9
2016  Run
07/05-22/07 Detector commissioning
23/07-13/09 Final Commissioning /L1 trigger, GTK)
                        Physics (exotics, rare/forbidden decays)
16/09-03/11 Physics (

, exotics, rare/forbidden decays)
 
2014  Pilot run
2015  Commissioning run
2016  Commissioning + Physics run

 Analysis
NA62 goal : 
K
+

+

 BR measurement with O(10%) precision
O(10%) Signal acceptance
O(5/1) Signal/Background
F.Bucci
10
On disk (

 period, 60m fiducial volume)
13
10
11
ppp on T10 (40% of nominal)
Intensity and DAQ
capability depend
on spill quality
 
2016 Analysis goal : 
assess the sensitivity at the level of 10%
In the next slides a preliminary exploratory analysis shown ( 
5% of 2016 data)
Background:
K
+

+
0            
0.2066
K
+

+
              
0.6356
K
+

+
- 
+      
0.0558
Signal signature:
Incoming K
+
Outgoing 
+ 
in time 
with the K
+
Nothing else

 
Analysis Strategy
11
F.Bucci

 Selection
NA62 Keystone
O (100 ps)         
Timing between sub-detectors
O(10
4
)
                Background  suppression from kinematics
> 10
7                           
Muon suppression
> 10
7                           
0
 (from K
+

+
0 
) 
suppression
F.Bucci
12
K
+ 
Decay Event 
Fiducial Decay Region
Particle ID
Photon Rejection
Multiple charged particle rejection
Kinematic selection of the signal regions
Kaon Decay Selection
Single 

+
 
topology
Kaon ID in KTAG
K - 

 matching
F.Bucci
13
Closest distance of approach
between GTK and Straw track
T
GTK
-T
KTAG
NA62 Preliminary
NA62 Preliminary
(CDA)
1.5mm
Mis-tagging probability: 
 1.7% 
[40% nominal intensity, 75% efficiency]
+ 
timing:
(T
CHOD
)
250 ps, 
(T
RICH
)
100 ps
K
+
 timing:
(T
KTAG
)
80 ps, 
(T
GTK
)
100 ps
Fiducial Decay Region
F.Bucci
14
 
Origin of 
Kaon Decays Events
K
+ 
decays downstream GTK3
K
+
 interactions in GTK3
K
+ 
decays upstream GTK3
    
early decays
Fiducial Decay Region
110/115 < Z
vertex 
< 165 m
lower limit against early decays
CHANTI against interactions in GTK3
Kinematics
F.Bucci
15
 
Signal and Background Regions
F.Bucci
16
 
m
2
miss 
resolution
design value reached : 10
-3 
GeV
4
/c
2
To control non gaussian tails from
mis-match and mis-measurements
compute the missing mass also
with RICH indipendently from STRAW
with nominal K momentum
 
Particle ID
PID with calorimeters
 ID efficiency 
 80%
 mis-ID probability 
 10
-5
F.Bucci
17
PID with RICH
 ID efficiency 
 80%
 mis-ID probability 
 10
-2
Efficiency of 
 ring
    reconstruction 
 90% [depends on p
 ]
Samples of 
 and 
 from K
+

+
0
 and K
+

+
 selected kinematically  
Combined efficiency
RICH, calorimeter independent
Performances improvement expectd
NA62 Preliminary
NA62 Preliminary
Photon Rejection
To measure 
 rejection, consider events left in the K
+

+
0
 region
after the 

 selection
F.Bucci
18
NA62 Preliminary
NA62 Preliminary
Before 
-rejection
minimum bias, D=400
After 
-rejection
PNN trigger

 accidental
losses measured
on K
+

+
downscale factor
of control trigger
events passing signal selection
with photon veto
Events in control trigger
passing the signal selection
but the photon veto
= (1.2
0.2)
10
-7
Expected Signal and Background
F.Bucci
19
Normalization: 
K
+

+
0 c
from control
trigger data passing the signal
selection but the photon rejection
Acceptance: ratio between signal
and normalization: 
0.60/0.86
85% (preliminary) measured on data
in 5% of 2016 statistics
N (K decays) 
 2.3 
 10
10
 
[
5% of 2016 statistics]
 
 
 

 acceptance 
0.033
Process                                   Expected Events                     Branching ratio
K
+

+
0   
                                           0.024                                  0.2066
K
+

+
                                               0.011                                  0.6356
K
+

+
- 
+     
                                       0.017                                 0.0558
Early decays
                                     < 0.005
K
+

+
- 
+  
suppression very preliminary
K
+

+

 Result
 
F.Bucci
20
No events in signal region
Event in box has m
2
miss
 (no GTK) outside the signal region
NA62 Physics besides 
K
+

+

The high-intensity and high-performance setup make NA62 suited for
other NP searches
F.Bucci
21
 
Invisible Vector from 
0 
decay
K
+

+
0
, 
0
A’
, 
A’
 
invisible
F.Bucci
22
 
N(K decays) 
1.5 
 10
10 
( 4% 2016 statistics)
m
A’
 (GeV)
 
Conclusions
Kaons ? New Physics could be already there:
 

 ?
NA62 fully working
Good 2016 run
    
5
10
11 
kaon decays taken in the last 40 days
    goal: test sensitivity down to 10
-10
First preliminary results on 
K
+

+

  (5% data) are promising
    analysis of the full 2016 data set in progress
    optimization/improvement of the analysis in progress
Excellent prospects for a broader physics program
F.Bucci
23
Spare Slides
R
K 
Final Result
Fully exploit kinematics and strong particle ID
Main background from K
2
 
KLOE
 
(2009) 14K events, 16% bkg
NA62
 (2013) 146K events, 11% bkg
R
K
= (2.488 ± 0.010)
 10
-5
 
 
10 improvement, consistent with SM
NP potential still open
NA62
 prospects: 
expected uncertainty 0.2%
(more statistic, more hermetic vetoing,
better resolution and PID)
TREK
 stopped K proposal: expected
uncertainty 0.25%
F.Bucci
25
F.Bucci
26
K
L
0
0

The charm contribution can be fully neglected since it proceeds in the
SM almost entirely through direct CP violation 
determination of
 
Need a huge number of K
L
 decays
NA48 K
L
 flux corresponding to 3
10
10
/year
NA62 possible K
L
 flux 5-10 times NA48 one
After SPS upgrade 100 times more
Anomalies in Kaon Physics:
K 
 
M
s,d 
Tension
New results from Fermilab Lattice and MILC collaboration
Construct the UUT (CMFV) by using only
                                  and derive
Strategy 1: 
M
s 
determines V
cb
 
 |V
cb
| = (39.5
1.3)
10
-3
Strategy 2: 
K 
determines V
cb
 
 |V
cb
| = (39.5
1.3)
10
-3
F.Bucci
27
Tension between 
M
s 
and 
K
Impact on the branching ratio of 
K
+

+

 and K
L

0

Blanke, Buras 1602.04020
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Delve into the world of Kaon Physics, from the historical discoveries like CP violation to modern experiments testing fundamental symmetries. Explore anomalies challenging the Standard Model and the implications for new physics models. Discover the interplay of QCD and EW penguin contributions, uncertainties in branching ratios, and the quest for understanding Flavour Changing Neutral Current processes in the realm of Kaon physics.

  • Kaon Physics
  • Anomalies
  • Standard Model
  • New Physics Models
  • CP Violation

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  1. Anomalies in KaonPhysics: the NA62 program Francesca Bucci (INFN, Sezione di Firenze) on behalf of NA62 Collaboration XIIth Meeting on B Physics. Tensions in Flavour measurements: a path toward Physics beyond the SM 22-24 May 2017 Centro Congressi, Universit di Napoli Federico II

  2. Kaon Physics: a Building Block of the SM Discovery of strange particles: first observation of a quark-flavour not present in the ordinary matter [Nature 160 4077 (1947) 855] Postulation of neutral meson oscillation [Phys. Rev 97 (1955) 1387] - puzzle: first hint of P violation [Phys. Rev. 104 (1956) 254] Discovery of CP violation in the K0 mixing [Phys. Rev. Lett. 13 (1964) 138] 3-quark-model to describe the observed meson/baryon spectra [Phys. Lett. 8 (1964) 214] Prediction of the c-quark to explain the unexpectly low observed branching ratio of decay the KL + - [Phys. Rev. D 2 (1970) 1285] First evidence of direct CP violation in the K0 [Phys. Lett. B 206 (1988) 169] F.Bucci 2

  3. Kaon Physics: Toward the Present Era Kaon Experiments [1995-2010] NA48 (CERN), KTeV (FNAL), KLOE (LNF), CPLEAR (CERN), E865 (BNL), ISTRA+ (Protvino) F.Bucci Measurement of direct CP violation in the K0 (NA48@CERN, KTeV@FNAL) [Phys. Lett. B 544 (2002) 97, Phys. Rev. D 83 (2010) 092001] Test of CPT symmetry invariance [K.A. Olive et al. (Particle Data Group, Chin. Phys. C, 38, 090001 (2014)] Precision test of the CKM unitarity [Eur. Phys. J. C 69 (2010)] Test of lepton universality [Phys. Lett. B 719 (2013) 326] 3

  4. Anomalies in Kaon Physics: / one of the important actors of 1990s particle physics Strong interplay of QCD and EW penguin contributions New results on hadronic matrix elements of QCD and EW penguin operators leads to a prediction in the SM significantly below experimental data. F.Bucci ' ' ( ) ( 9 . 1 ) = 3 . 2 4 = 5 . 4 4 16 6 . 10 10 Exp Th Buras, Gorbahn, Jager, Jamin ArXiV 1507.06345 World average from NA48 and KTeV 3 discrepancy Impact on various NP models: in particular models where there is a strong correlation between / and the branching ratio for K+ + and KL 0 4 Z general (Buras, Buttazzo, Knegjens, 1507.08672), Littlest Higgs Model (Blanke, Buras, Recksiegel, 1507.06316), 331 Models (Buras, De Fazio, 1512.02869, 1604.02344)

  5. K in the SM Flavour Changing Neutral Current process forbidden at tree level in the SM F.Bucci Highest CKM suppression very sensitive to New Physics Theoretical uncertainties at the level of 2% in BR but significant parametric uncertainties due to |Vub|, |Vcb| and [Buras et al. arXiv:1503.02693], [Brod et al. Phys. Rev. D 83,034030 (2011)] 2.8 0.74 V ( ) ( ) + + 11 11 cb = = BR K (8.39 0.30) 10 8.4 0.6 10 0.0407 73.2 2 2 2 V V ( ) sin ( ) 11 11 ub cb = = 0 BR K (3.36 0.05) 10 3.4 0.6 10 5 L 0.00388 0.0407 sin 73.2

  6. and beyond the SM Pattern of correlation between BR(K+ + ) and BR(KL 0 ) discriminates among models Z model [A. J. Buras, F. De Fazio and J. Girrbach JHEP 1302 (2013) 116] F.Bucci Randall-Sundrum [JHEP 0903 (2009) 108] Littlest Higgs [Acta Phys. Polon. B41 (2010) 657] 6

  7. The long K march First search: 1969 (10-4) Observation: 1997 (10-10) KL 0 K+ + F.Bucci KOTO KOTO NA62 7 ( ) ( = ) + + + . 1 . 1 15 05 10 BR K . 1 73 10 [Phys. Rev. D77, 052003 (2008), Phys. Rev. D79, 092004 (2009)]

  8. The NA62 Experiment for K++ SPS proton 400 GeV 1012p/s 3.5 s spill F.Bucci Secondary Beam Decay region 75GeV/c, p/p 1% Fiducial region 60 m length K+ decay rate 5 MHz Momentum Divergence (RMS) 100 rad Composition K(6%), (70%), p(23%) Nominal rate 33 1011 (750 MHz at GTK3) Transverse size 60 30 mm2 8 O(10-6)mbar Vacuum

  9. The NA62 Status 2014 Pilot run 2015 Commissioning run 2016 Commissioning + Physics run F.Bucci 2016 Run 07/05-22/07 Detector commissioning 23/07-13/09 Final Commissioning /L1 trigger, GTK) Physics (exotics, rare/forbidden decays) 16/09-03/11 Physics ( , exotics, rare/forbidden decays) 9

  10. Analysis NA62 goal : K+ + BR measurement with O(10%) precision O(10%) Signal acceptance O(5/1) Signal/Background On disk ( period, 60m fiducial volume) 13 1011ppp on T10 (40% of nominal) F.Bucci Intensity and DAQ capability depend on spill quality 10 2016 Analysis goal : assess the sensitivity at the level of 10% In the next slides a preliminary exploratory analysis shown ( 5% of 2016 data)

  11. Analysis Strategy Signal signature: Incoming K+ Outgoing + in time with the K+ Nothing else Background: K+ + 0 0.2066 K+ + 0.6356 K+ + - + 0.0558 F.Bucci Analysis tools: Precise kinematic reconstruction ( )2 K miss P P m = 2 PID: K upstream, e/ / downstream Hermetic detection Sub-ns timing 11

  12. Selection NA62 Keystone O (100 ps) Timing between sub-detectors O(104) Background suppression from kinematics > 107 Muon suppression > 107 0 (from K+ + 0 ) suppression F.Bucci K+ Decay Event Fiducial Decay Region Particle ID Photon Rejection Multiple charged particle rejection 12 Kinematic selection of the signal regions

  13. Kaon Decay Selection Single + topology Kaon ID in KTAG K - matching + timing: (TCHOD) 250 ps, (TRICH) 100 ps K+timing: (TKTAG) 80 ps, (TGTK) 100 ps Closest distance of approach between GTK and Straw track TGTK-TKTAG F.Bucci (CDA) 1.5mm 13 Mis-tagging probability: 1.7% [40% nominal intensity, 75% efficiency]

  14. Fiducial Decay Region Origin of Kaon Decays Events K+ decays downstream GTK3 K+ interactions in GTK3 K+ decays upstream GTK3 early decays F.Bucci Fiducial Decay Region 110/115 < Zvertex < 165 m lower limit against early decays CHANTI against interactions in GTK3 14

  15. Kinematics F.Bucci 15

  16. Signal and Background Regions To control non gaussian tails from mis-match and mis-measurements m2miss resolution F.Bucci compute the missing mass also with RICH indipendently from STRAW with nominal K momentum design value reached : 10-3 GeV4/c2 16

  17. Particle ID Samples of and from K+ + 0 and K+ + selected kinematically Combined efficiency PID with calorimeters ID efficiency 80% mis-ID probability 10-5 F.Bucci PID with RICH ID efficiency 80% mis-ID probability 10-2 Efficiency of ring reconstruction 90% [depends on p ] 17 RICH, calorimeter independent Performances improvement expectd

  18. Photon Rejection To measure rejection, consider events left in the K+ + 0 region after the selection Before -rejection minimum bias, D=400 After -rejection PNN trigger F.Bucci accidental losses measured on K+ + events passing signal selection with photon veto PNN n = (1.2 0.2) 10-7 18 = 0 control control D N Events in control trigger passing the signal selection but the photon veto downscale factor of control trigger

  19. Expected Signal and Background in 5% of 2016 statistics 85% (preliminary) measured on data BR A = 0.064 = exp control control trig N D N BR A Normalization: K+ + 0 cfrom control trigger data passing the signal selection but the photon rejection F.Bucci Acceptance: ratio between signal and normalization: 0.60/0.86 N (K decays) 2.3 1010[5% of 2016 statistics] acceptance 0.033 Process Expected Events Branching ratio K+ + 0 0.024 0.2066 K+ + 0.011 0.6356 K+ + - + 19 0.017 0.0558 Early decays < 0.005 K+ + - + suppression very preliminary

  20. K++ Result No events in signal region F.Bucci 20 Event in box has m2miss (no GTK) outside the signal region

  21. NA62 Physics besides K++ The high-intensity and high-performance setup make NA62 suited for other NP searches Exotic searches Dark Photons (A ), Heavy Neutral Leptons (HNL), Axion-like particles (ALP) F.Bucci Rare/Forbidden Decays K+ +l+l- [O(10-7)] , 0 e+e- [BR=6.46 10-8] K+ +l1+l2-, K+ l1- l1+l2- (l1,2= e, ), K+ + e+, 0 e+ 21

  22. Invisible Vector from 0 decay K+ + 0, 0 A , A invisible N(K decays) 1.5 1010 ( 4% 2016 statistics) F.Bucci mA (GeV) 22

  23. Conclusions Kaons ? New Physics could be already there: ? NA62 fully working Good 2016 run 5 1011 kaon decays taken in the last 40 days goal: test sensitivity down to 10-10 First preliminary results on K+ + (5% data) are promising analysis of the full 2016 data set in progress optimization/improvement of the analysis in progress F.Bucci 23 Excellent prospects for a broader physics program

  24. Spare Slides

  25. RK Final Result RK= (2.488 0.010) 10-5 Fully exploit kinematics and strong particle ID Main background from K 2 10 improvement, consistent with SM F.Bucci NP potential still open NA62 prospects: expected uncertainty 0.2% (more statistic, more hermetic vetoing, better resolution and PID) TREK stopped K proposal: expected uncertainty 0.25% 25 KLOE (2009) 14K events, 16% bkg NA62 (2013) 146K events, 11% bkg

  26. KL00 The charm contribution can be fully neglected since it proceeds in the SM almost entirely through direct CP violation determination of Exp Machine Meas. or UL 90% CL Notes F.Bucci <5.7 10-7( 0 ee ) KTeV Tevatron <2.6 10-8 E391a KEK-PS KOTO J-PARC Aim at 2.7 SM evts/3y Need a huge number of KLdecays NA48 KLflux corresponding to 3 1010/year NA62 possible KLflux 5-10 times NA48 one After SPS upgrade 100 times more 26

  27. Anomalies in Kaon Physics: K Ms,d Tension New results from Fermilab Lattice and MILC collaboration ( ) MeV 5 . 8 0 . 276 = S S B B B F ( )MeV = 3 . 9 229 4 . F B B B d d Construct the UUT (CMFV) by using only M , Blanke, Buras 1602.04020 F.Bucci V d s , ub and derive K s M S V cb Strategy 1: Ms determines Vcb |Vcb| = (39.5 1.3) 10-3 Strategy 2: K determines Vcb |Vcb| = (39.5 1.3) 10-3 Tension between Ms and K 27 Impact on the branching ratio of K+ + and KL 0

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