hadron multiplicity induced by top quark decays at the lhc

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Hadron multiplicity induced by top quark decays at the LHC R.Ryutin, IHEP, Protvino QFTHEP 2011, Sochi, Russia Top Physics R.Ryutin

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Hadron multiplicity induced by top quark decays at the LHC. R.Ryutin , IHEP, Protvino. QFTHEP 2011, Sochi, Russia Top Physics R.Ryutin. Plan. Motivations and outlook Basic model Numerical estimations for the LHC Experimental situation. Summary. - PowerPoint PPT Presentation

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Page 1: Hadron  multiplicity induced by top quark decays at the LHC

Hadron multiplicity inducedby top quark decays at the LHC

R.Ryutin, IHEP, Protvino

QFTHEP 2011, Sochi, Russia Top Physics R.Ryutin

Page 2: Hadron  multiplicity induced by top quark decays at the LHC

Plan

QFTHEP 2011, Sochi, Russia Top Physics R.Ryutin

• Motivations and outlook• Basic model• Numerical estimations for the LHC• Experimental situation.• Summary

Page 3: Hadron  multiplicity induced by top quark decays at the LHC

Bibliography

QFTHEP 2011, Sochi, Russia Top Physics R.Ryutin

[1] A.V. Kisselev and V.A. Petrov, “Multiple hadron production in e+e- annihilation induced by heavy primary quarks: New analysis”, Phys. Part. Nucl. 39 (2008) 798.[2] A.V. Kisselev and V.A. Petrov, “Hadron multiplicity in e+e- events induced by top quark pair at the ILC energy”, PMC Phys. A 2 (2008) 3.[3] A.V. Kisselev and V.A. Petrov, “Hadron multiplicities in e+e- annihilation with heavy primary quarks”, Eur. Phys. J. C 50 (2007) 21.[4] A.V. Kisselev and V.A. Petrov, “On hadron multiplicities in e+e- events induced by massive quarks”, Z. Phys. C 66 (1995) 453.

Page 4: Hadron  multiplicity induced by top quark decays at the LHC

Multiplicity measurements in e+e- → t anti-t

QFTHEP 2011, Sochi, Russia Top Physics R.Ryutin

59.099.472)(

11.167.862)(

53.069.21)(

54.003.41)(

11.061.4)( 24.014.16

1.034.19 09.055.5

.,

.,

.

.

gtt

Lthadrlllltt

eett

gtt

Hthadrtt

eett

gtbbhadrllt

Lt

gtbWbhadrt

Ht

eegtt

gtb

Wb

NnQN

NnQN

Nnn

Nnnn

QNN

nn

(the mean hadron multiplicity in a virtual gluon with a fixed p²)

+2

t

b*

b

Wt

t*

b

W

gtbN 2k

t

+

2t*

t

t-

t

t*--

2k

)( )(

),( )()( )(

22

22

2222)(

2

2

2

20

max2

20

pnpdpkN

kQEkNkCkdkQN

g

k

Qg

ttgSF

k

Q

gtt

e+

e-

t*

t*-

t

t-

γ*, Z*

tn

tn

gttN

Advantages:- t-anti-t is a singlet state- t is heavy and have small life-timeAssumption: independent fragmentation of on-shell t and anti-t: analogous to e+e- =>W+W- , experimentally confirmed

QCD CALC.

Phenom. parametrizationnormalized to real data

Test of QCD independent onfragmentation models! Main results do not dependon the exact form of

0~2 24 hql

hq nn

)( 2png

GeVQee

500

)(),()( 20

20

22 QKQknkn gg local parton-hadron duality

Page 5: Hadron  multiplicity induced by top quark decays at the LHC

Basic model

QFTHEP 2011, Sochi, Russia Top Physics R.Ryutin

tWtqbtttM ,,,

p

p

beamX

MXbeamMX

22)( ),,,( )2(

)( )( )( ),,( )2(

)(

)()(

2221

224

4

''''214

4

kpg

babbaa

abgM

gMMXM

pNp

kqkqkQΠkd

knkdkdkqqΠkdQN

QNnQNM

MXMN

1q

2q

k )0/( )(~ )( 2 ikkdikd abab

gluon propagator

)()()( 22 knkkkgkn gabab

iiiiii

iiiiii

ii

ii

ii

iiii

iiiii

abbai

ab

qqnqn

nqnqnqgnqd

kqqΠnqdkqqΠ

2

2*

);(2,1

);(

21};{};{

N

1i21

),(~

),,( ),(~ ),,( in.gluons

[ E. Leader, E. Predazzi, ArXiv: 1101.3425]

2

2 Md

Md ' ),,( ),,,( 2121

22 kqqΠgkqkqkQΠ abab

[R. Ryutin, ArXiv: 1105.4776]

h h

221

2 )( qqQ

0 ,0 ,0 ),,( 2221 kqkqqΠk i

ab

Page 6: Hadron  multiplicity induced by top quark decays at the LHC

Multiplicity measurements in pp → X t anti-t

QFTHEP 2011, Sochi, Russia Top Physics R.Ryutin

Basic mechanism of t anti-t production at LHC (also with virtual(!) gluon)

= + +

)(2)( ,, QNnQN gtt

HLt

HLtt

MOTIVATIONS: - to check directly (independent on fragmentation model!) QCD predictions for multiplicities in jets, especially induced by a virtual gluon ( is normalized to the real data!), - to check model independent fragmentation of t anti-t,- to check (visible!) parton-parton-C.M.Energy dependence of

)( 2kN g

t*

t*-

t

t-

tn

gttN

2t*

++

2k

t + + +

Here t-anti-t may be a nonsinglet state, but interaction with beam remnants can be suppressed if we take pT(jet)>15-20 GeV

Cross-section is high (~900 pb at 14 TeV)

ppgtt sxxQQN 21

2 ),(

No pT(jet) cutspT(t)>10 GeV, pT(g)>5 GeVpT(t)>30 GeV, pT(g)>10 GeV

Page 7: Hadron  multiplicity induced by top quark decays at the LHC

Multiplicity measurements in pp → X t anti-b

QFTHEP 2011, Sochi, Russia Top Physics R.Ryutin

)()( ,, QNnnQN gbtb

HLt

HLbt

gbtN

b*-t*

t

b-bn

q'-

qW*

- similar to e+e-, W* is a color singlet => color reconnection with beam remnants is small

but cross-section is small(~10 pb at 14 TeV)

+22k

t*t

-t

-b*-b

b+

2

+

No pT(jet) cutspT(t)>30 GeV, pT(g)>15 GeVpT(t)>60 GeV, pT(g)>30 GeV

Page 8: Hadron  multiplicity induced by top quark decays at the LHC

Multiplicity measurements in pp → X t q’

QFTHEP 2011, Sochi, Russia Top Physics R.Ryutin

)()( '',,

' QNnnQN gtqq

HLt

HLtq

+2

2kt*t

t

q‘* q‘q‘

2.1,, sdun

q q‘*

t*t tn

'qn

gtqN '

b

W*

q‘

++

- (b+q) may be nonsinglet => pt(jet)>15-20 GeV to suppress interaction with beam remnants

cross-section is rather high at LHC (~250 pb at 14 TeV)

fixed by the low energy data

',

' )( qHL

tgtq nnQN

Looks the most interesting process for thismeasurement, since we havethe possibility to estimate the multiplicity from beamremnants plus color reconnection effects and use itin other processes.

No pT(jet) cutspT(t)>30 GeV, pT(g)>15 GeVpT(t)>60 GeV, pT(g)>30 GeV

Page 9: Hadron  multiplicity induced by top quark decays at the LHC

Multiplicity measurements in pp → X t W

QFTHEP 2011, Sochi, Russia Top Physics R.Ryutin

2ttn

gtWN

b

W

= +

+ ++ ++ ++

)()( ,, QNnnQN gtWW

HLt

HLtW

- (b+g) may be nonsinglet => pt(jet)>15-20 GeV to suppress interaction with beam remnants

intermediate cross-section at LHC (~50 pb at 14 TeV) No pT(jet) cuts

pT(t)>10 GeV, pT(g)>5 GeVpT(t)>30 GeV, pT(g)>15 GeV

Page 10: Hadron  multiplicity induced by top quark decays at the LHC

Experimental situation

QFTHEP 2011, Sochi, Russia Top Physics R.Ryutin

t*

t*-

t

t-

Color interaction of beam remnants withFinal State Radiation from top or bottomquarks.

Example of complicated fragmentation picture in top anti-top events at the LHC

PDF

PDF

Beam remnants

“hadrons from t decay”

Result of t anti-t interaction

Page 11: Hadron  multiplicity induced by top quark decays at the LHC

Summary

QFTHEP 2011, Sochi, Russia Top Physics R.Ryutin

It is proposed to extract average charged multiplicity of hadrons in "t-induced-jets" in single-top and t anti-t events. This work is based on ideas of [1-4], where authors have calculated charge hadron multiplicities for t-tbar production in e+e- annihilation. The basic argument for calculations is the independent fragmentation of tops. In e+e- it was experimentally proved for e+e-=>W+W- (for t-tbar ithe situation is similar).At LHC the experimental situation is more difficult, since jet partons can interact with beam remnants, but: a) in s-channel single top the situation is similar to e+e- (W* is a color singlet), b) in other processes we can take jets with high pt, and such interaction will be suppressed.- Numbers nb, nW, nt, nq are fixed and energy independent (calculated by data fitting at low energies).- Numbers are calculated in QCD, where are independent on fragmentation model and fixed by data fitting at low energies (Local Parton-Hadron Duality).Motivations:a) direct test of QCD calculations independent on fragmentation models.b) to check independent fragmentation of heavy quarks.c) to check parton-parton-C.M.Energy dependence of hadron multiplicities.d) to estimate multiplicity from beam remnants plus from color reconnection effects in t-channel single

top for further use in other processese) we can calculate also the difference to cancel effects of color reconnection and

beam remnants Final task: to extract number of tracks in jets which are produced in top quark decay.Comments: to estimate efficiencies etc. we can use any MC generator for top production. To suppress (estimate) dependence on a fragmentation model we can use several different models (generators: PYTHIA, HERWIG and so on). At the same time with the top-mass reconstruction procedure (in hadronic mode) we couldextract number of tracks which are included into hadronic cluster from single t or t anti-t.

gMN gN

qQQq NNN

Page 12: Hadron  multiplicity induced by top quark decays at the LHC

Backup slides

QFTHEP 2011, Sochi, Russia Top Physics R.Ryutin

15 30 5 10 0 0

),( ),-( min,min, GeVjetgkGeVjetqp

hadronictt

leptonicthadronict ,

leptonictt