Post on 11-Jan-2016
description
Hadronic Decays of the TAU Lepton within
RESONANCE CHIRAL THEORY (R)
Pablo Roig Garcés
Pablo.Roig@ific.uv.es
Instituto de Física Corpuscular
CSIC-UVEG València (Spain)
XII Spring School “Bruno Touschek”
INFN LNF Frascati
FlaviAnet
• Hadronic decays of the lepton
• Tools : PT, RT, Large Nc (inspired)
• Recent past :
• Present:
• Immediate future : K
• Outlook :
SUMMARY:
(Gómez Dumm, Pich, Portolés ’04)
(Gómez Dumm, Pich, Portolés, R. ’07 to appear)
(h1h2h3)
in RTPablo Roig Garcés
Instituto de Física Corpuscular
XII Spring School “Bruno Touschek”FlaviAnet
• Hadronic decays of the lepton
• Tools : PT, RT, Large Nc (inspired)
• Recent past :
• Present:
• Immediate future : K
• Outlook :
SUMMARY:
(h1h2h3)
(Gómez Dumm, Pich, Portolés ’04)
(Gómez Dumm, Pich, Portolés, R. ’07 to appear)
h1h2h3=3K,2
XII Spring School “Bruno Touschek”FlaviAnet
in RTPablo Roig Garcés
Instituto de Física Corpuscular
5( ) (1 ) ( )2F
CKM
GV u u T
M
.
.
.Hadrons
W --
hn
QCD
h1T=<Hadrons|(V-A) eiSQCD|0>=
=i(Lorentz Structure)i Fi(Q2,sj)
HADRONIC DECAYS OF THE LEPTON
22 ( 1) *
2| |
4nF
CKM
Gd V d L T T
M
XII Spring School “Bruno Touschek”FlaviAnet
in RTPablo Roig Garcés
Instituto de Física Corpuscular
HADRONIC DECAYS OF THE LEPTON
5( ) (1 ) ( )2F
CKM
GV u u T
M
.
.
.Hadrons
-
hn
QCD
h1T=<Hadrons|(V-A) eiSQCD|0>=
=i(Lorentz Structure)i Fi(Q2,sj)
QCD= QCD (qi,Ga;gs,mi)
?2
2 ( 1) *2
| | 4
nFCKM
Gd V d L T T
M
XII Spring School “Bruno Touschek”FlaviAnet
in RTPablo Roig Garcés
Instituto de Física Corpuscular
W -
5( ) (1 ) ( )2F
CKM
GV u u T
M
.
.
.Hadrons
-
hn
QCD
h1T=<Hadrons|(V-A) eiSQCD|0>=
=i(Lorentz Structure)i Fi(Q2,sj)
HADRONIC DECAYS OF THE LEPTON
EFT’sPT, R
22 ( 1) *
2| |
4nF
CKM
Gd V d L T T
M
XII Spring School “Bruno Touschek”FlaviAnet
in RTPablo Roig Garcés
Instituto de Física Corpuscular
W -
QCDLow energy expansion Intermediate region
PT c
2 2 2 2
2 2
, , , (4 ) R
p m p m
F M Tree level diagrams
Matching the OPE
(Gasser & Leutwyler ’84, ’85)
(‘t Hooft ’74, Witten ‘79)
EFT EFT
TOOLS: EFFECTIVE FIELD THEORIES
# 0-width resonances
XII Spring School “Bruno Touschek”FlaviAnet
in RTPablo Roig Garcés
Instituto de Física Corpuscular
QCD
PT c
2 2 2 2
2 2
, , , (4 ) R
p m p m
F M Tree level diagrams
Matching the OPE
(Gasser & Leutwyler ’84, ’85)
EFT EFT
TOOLS: EFFECTIVE FIELD THEORIES
Only one 8 (SRA)
Off-shell width
RT
(‘t Hooft ’74, Witten ‘79)
# 0-width resonances
XII Spring School “Bruno Touschek”FlaviAnet
in RTPablo Roig Garcés
Instituto de Física Corpuscular
Low energy expansion Intermediate region
TOOLS : PT (Gasser & Leutwyler ’84, ’85)
XII Spring School “Bruno Touschek”FlaviAnet
in RTPablo Roig Garcés
Instituto de Física Corpuscular
PT
2
2
2
2 2 2
,, ,
(4 ) ( )R
p m p m
F M
(Gasser, Leutwyler ’84, ’85)
08
008
0 8
† †
† †
† †
2( )
( )
0
1 4
2
4 2
2 6
( )2 6
2
6
( )( ) exp , u ( ) ( )
2
2 ( ),
4
...
L R
K
x K
K K
i xu x i u i u u i u
i u u u u
f uF u u F u
L u u
F
B
F
L
r l
s
L u u u
p
L u
2
( ),
7
4
9... ... ...
in the odd-intrinsic parity sectorWZW
i f u u
L
L L
(3) (3) (3)L R VSU SU SU
†( , ) ( , )X h g X h g
TOOLS : RT (Ecker, Gasser, Pich, De Rafael ‘89)
(Ecker, Gasser, Leutwyler, Pich, De Rafael ‘89)
5
1
75
( ) ( ),
1
( ) (
2
))
1
4(
;
2 2 2
2 2
( , , ) [ , ] ...
;
( , , )
I
I
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V
A
iVAP
i
PR T WZW VJP VVP VP
V V
PP
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i V V
A
i
i
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L L L L L L
iL f u u
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VO
L L L L L
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F G
F
c c
A V A
V jOM M
1
5
1
54
1
, ...
( , , ) , ...
( , ) , ...
iVVP
i
iVPPP
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V V
f u
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V V V V
V V
d
ug
uM
d
M
g
0*8
0*08
* *0 8
2 6
( )2 6
2
6
K
x K
K
V
K
Antisymmetric tensor formalism
(Ruiz-Femenía, Pich, Portolés ’03)
(Gómez Dumm, Pich, Portolés ’04)
(Gómez Dumm, Pich, Portolés, R. ’07 to appear)
XII Spring School “Bruno Touschek”FlaviAnet
in RTPablo Roig Garcés
Instituto de Física Corpuscular
VMDVMD
V
V
TOOLS : RT (Ecker, Gasser, Pich, De Rafael ‘89)
(Ecker, Gasser, Leutwyler, Pich, De Rafael ‘89)
XII Spring School “Bruno Touschek”FlaviAnet
in RTPablo Roig Garcés
Instituto de Física Corpuscular
a
a
5
1
75
( ) ( ),
1
( ) (
2
))
1
4(
;
2 2 2
2 2
( , , ) [ , ] ...
;
( , , )
I
I
P kinR T V A V A VAP
V
A
iVAP
i
PR T WZW VJP VVP VP
V V
PP
iVJP
i V V
A
i
i
V V
L L L L L L
iL f u u
L f
L
A
VO
L L L L L
L
F G
F
c c
A V A
V jOM M
1
5
1
54
1
, ...
( , , ) , ...
( , ) , ...
iVVP
i
iVPPP
i
i
i
V V
f u
L O u
L O
V
V V V V
V V
d
ug
uM
d
M
g
A
A V
TOOLS : RT (Gómez Dumm, Pich, Portolés ’04)
5
1
75
( ) ( ),
1
( ) (
2
))
1
4(
;
2 2 2
2 2
( , , ) [ , ] ...
;
( , , )
I
I
P kinR T V A V A VAP
V
A
iVAP
i
PR T WZW VJP VVP VP
V V
PP
iVJP
i V V
A
i
i
V V
L L L L L L
iL f u u
L f
L
A
VO
L L L L L
L
F G
F
c c
A V A
V jOM M
1
5
1
54
1
, ...
( , , ) , ...
( , ) , ...
iVVP
i
iVPPP
i
i
i
V V
f u
L O u
L O
V
V V V V
V V
d
ug
uM
d
M
g
XII Spring School “Bruno Touschek”FlaviAnet
in RTPablo Roig Garcés
Instituto de Física Corpuscular
V
TOOLS : RT
v
(Ruiz-Femenía, Pich, Portolés ’03)
5
1
75
( ) ( ),
1
( ) (
2
))
1
4(
;
2 2 2
2 2
( , , ) [ , ] ...
;
( , , )
I
I
P kinR T V A V A VAP
V
A
iVAP
i
PR T WZW VJP VVP VP
V V
PP
iVJP
i V V
A
i
i
V V
L L L L L L
iL f u u
L f
L
A
VO
L L L L L
L
F G
F
c c
A V A
V jOM M
1
5
1
54
1
, ...
( , , ) , ...
( , ) , ...
iVVP
i
iVPPP
i
i
i
V V
f u
L O u
L O
V
V V V V
V V
d
ug
uM
d
M
g
XII Spring School “Bruno Touschek”FlaviAnet
in RTPablo Roig Garcés
Instituto de Física Corpuscular
V V
V
TOOLS : RT
5
1
75
( ) ( ),
1
( ) (
2
))
1
4(
;
2 2 2
2 2
( , , ) [ , ] ...
;
( , , )
I
I
P kinR T V A V A VAP
V
A
iVAP
i
PR T WZW VJP VVP VP
V V
PP
iVJP
i V V
A
i
i
V V
L L L L L L
iL f u u
L f
L
A
VO
L L L L L
L
F G
F
c c
A V A
V jOM M
1
5
1
54
1
, ...
( , , ) , ...
( , ) , ...
iVVP
i
iVPPP
i
i
i
V V
f u
L O u
L O
V
V V V V
V V
d
ug
uM
d
M
g
XII Spring School “Bruno Touschek”FlaviAnet
in RTPablo Roig Garcés
Instituto de Física Corpuscular
(Gómez Dumm, Pich, Portolés, R. ’07 to appear)
5( ) (1 ) ( )2F
CKM
GV u u T
M
Hadrons
-
QCD
h1 h2 h3
HADRONIC DECAYS OF THE LEPTON
1 2 3
1 2
0
1 2 3 1 2 1 2 3 12 2
1 2 1 2 3
1
1 1
2 2
5
2
2 3
3( ) ( ) ( )
( ) , ( ) , ( )
| |, ,
128(2 )F CKM
P V
p p p
Q Q Q Qp p p Q V g p p V g p p
Q Q
T V V QF i p p p
d G Vdsdt f I I I
h h h
F F
M
F
dQ
(Kühn, Santamaría ’90)(KS)
(Gómez-Cadenas, González-García, Pich ’90) (GGP)
XII Spring School “Bruno Touschek”FlaviAnet
in RTPablo Roig Garcés
Instituto de Física Corpuscular
(Finkemeier, Mirkes ‘96)(FM)
W -
A
V
V V
V V
V
V
cigi di
i
GV, FV
F
XII Spring School “Bruno Touschek”FlaviAnet
in RTPablo Roig Garcés
Instituto de Física Corpuscular
HADRONIC DECAYS OF THE LEPTON
v
v
v
v
a
a
a
a
a
RECENT PAST :
XII Spring School “Bruno Touschek”FlaviAnet
in RTPablo Roig Garcés
Instituto de Física Corpuscular
PRESENT:
XII Spring School “Bruno Touschek”FlaviAnet
in RTPablo Roig Garcés
Instituto de Física Corpuscular
Free
c1235, d123, c4, g4, g5
coming soon]
PRESENT:
XII Spring School “Bruno Touschek”FlaviAnet
in RTPablo Roig Garcés
Instituto de Física Corpuscular
Free
c1235, d123, c4, g4, g5
coming soon]
PRESENT:
XII Spring School “Bruno Touschek”FlaviAnet
in RTPablo Roig Garcés
Instituto de Física Corpuscular
Free
c1235, d123, c4, g4, g5
coming soon]
PRESENT:
XII Spring School “Bruno Touschek”FlaviAnet in RT
Pablo Roig GarcésInstituto de Física Corpuscular
coming soon]
XII Spring School “Bruno Touschek”FlaviAnet
in RTPablo Roig Garcés
Instituto de Física Corpuscular
PRESENT:
coming soon]
PRESENT:
XII Spring School “Bruno Touschek”FlaviAnet
in RTPablo Roig Garcés
Instituto de Física Corpuscular
Experiment # of pairs
LEP
CLEO
BABAR
BELLE
LHC
3·105
1·107
3·108
5·108
1·1012
coming soon]
PRESENT:
(I. Nugent TAU06)
XII Spring School “Bruno Touschek”FlaviAnet
in RTPablo Roig Garcés
Instituto de Física Corpuscular
PRESENT:
(I. Nugent TAU06)
XII Spring School “Bruno Touschek”FlaviAnet
in RTPablo Roig Garcés
Instituto de Física Corpuscular
Our Hadronic matrix elements
dataMC’s
IMMEDIATE FUTURE: K
• Computation of hadronic matrix element within RT
• Required Brodsky-Lepage behaviour to both the axial-vector and vector form factors: Constraints among the couplings
identical/compatible to those found for FA,FV in the 2K -modes
• Great sensitivity to the values of the K1 mass and on-shell width (axial-vector meson mixing)
• We plan to use this computation to help extract Vus and ms
• Agreement with BELLE to implement our expressions for the hadronic matrix element in their MC’s to analyze the data
XII Spring School “Bruno Touschek”FlaviAnet
in RTPablo Roig Garcés
Instituto de Física Corpuscular
IMMEDIATE FUTURE: K
XII Spring School “Bruno Touschek”FlaviAnet
in RTPablo Roig Garcés
Instituto de Física Corpuscular
(I. Nugent TAU06)
All contributions
Axial-VectorVector
IMMEDIATE FUTURE: K
XII Spring School “Bruno Touschek”FlaviAnet
in RTPablo Roig Garcés
Instituto de Física Corpuscular
(I. Nugent TAU06)
PreliminaryAll contributions
Axial-VectorVector
IMMEDIATE FUTURE: K
XII Spring School “Bruno Touschek”FlaviAnet
in RTPablo Roig Garcés
Instituto de Física Corpuscular
(I. Nugent TAU06)
Preliminary
1 11( )(1 )
1.27 0.3KK MK
M GeV GeV
All contributions
Axial-VectorVector
IMMEDIATE FUTURE: K
XII Spring School “Bruno Touschek”FlaviAnet
in RTPablo Roig Garcés
Instituto de Física Corpuscular
(I. Nugent TAU06)
Preliminary
Our Hadronic matrix elements
dataMC’s
All contributions
Axial-VectorVector
OUTLOOK: hhh
hhh
3
2K
K 2
2
K
3K
XII Spring School “Bruno Touschek”FlaviAnet
in RTPablo Roig Garcés
Instituto de Física Corpuscular
FA FVVus, ms m
( KK)
CONCLUSIONS• Current analyses of data using
TAUOLA have shown noticeable inconsistencies. We would like to improve the hadronic matrix elements in TAUOLA.
• We have studied these decays within RT with a Large NC-inspired model guided by QCD. (Preliminary study of 2 K-modes)
• Our results have been implemented in SHERPA (LHC and TEVATRON).
• LHC, BABAR, BELLE, BES…are promising facilities to test our predictions.
• The future looks even more promising and exciting: Vus, ms, m
and, of course, hadronization of QCD currents.
XII Spring School “Bruno Touschek”FlaviAnet
in RTPablo Roig Garcés
Instituto de Física Corpuscular
SKIPPED SLIDES
XII Spring School “Bruno Touschek”FlaviAnet
in RTPablo Roig Garcés
Instituto de Física Corpuscular
XII Spring School “Bruno Touschek”FlaviAnet
in RTPablo Roig Garcés
Instituto de Física Corpuscular
CLEO VERSION(F. Liu ‘03, CLEO-III ’04)
2 3
1
2 2iBV
i
F BWF
R
22 ,
, 2, ,
( , )( )
V AV A i
V A V A
MBW x s Q
M x i x x
XII Spring School “Bruno Touschek”FlaviAnet
in RTPablo Roig Garcés
Instituto de Física Corpuscular
(F. Liu ‘03, CLEO-III ’04)
(4),WZWL 2 0
1Q
2 3
1
2 2iBV
i
F BWF
R
CLEO VERSION
XII Spring School “Bruno Touschek”FlaviAnet
in RTPablo Roig Garcés
Instituto de Física Corpuscular
(F. Liu ‘03, CLEO-III ’04)
(4),WZWL 2 0
1Q
1.800.53QCD
2 3
1
2 2iBV
i
F BWF
R
CLEO VERSION
XII Spring School “Bruno Touschek”FlaviAnet
in RTPablo Roig Garcés
Instituto de Física Corpuscular
XII Spring School “Bruno Touschek”FlaviAnet
in RTPablo Roig Garcés
Instituto de Física Corpuscular
CLEO ‘04
NV/NA
1.5
This work 5
9
(Finkemeier, Mirkes ‘95)
0.4
PT at (p2) PT at (p4)
V AFA F4VFA
Yes
- -
ad-hoc
channels within RTK K
XII Spring School “Bruno Touschek”FlaviAnet
in RTPablo Roig Garcés
Instituto de Física Corpuscular
(Gómez-Cadenas, González-García,
Pich ’90)
SHERPA(Simulation of High Energy Reactions of PArticles)
•Institute for Theoretical Physics at TU Dresden (Germany)
•Group Leader : Frank Krauss
•Tevatron + LHC
•http://www.physik.tu-dresden.de/~krauss/hep
Insertion of our matrix elements for hadronic tau decays
XII Spring School “Bruno Touschek”FlaviAnet
in RTPablo Roig Garcés
Instituto de Física Corpuscular
RESULTS K+ K- -
2 ( )Q GeVXII Spring School “Bruno Touschek”FlaviAnet
in RTPablo Roig Garcés
Instituto de Física Corpuscular