A boost for a whole life

M.V. Chizhov(Sofia University and JINR)

Dedicated to the memory of my teacher Prof. Mateev

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Beginning in Dubna …

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HeisenbergSchwingerBogolyubovFröhlichThirringNambu – Jona-LasinioVaks – LarkinArbuzov – Tavkhelidze– Faustov KirzhnitsGross – Neveu

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Fundamental interaction

GGHeisenberg’s four-fermion universal interaction

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Hartree Fock Bogolyubov

Mean-field approximation method

5

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Diquark excitations, color superconductivity…

New Fierz identitiesfor ΨΨ and ΨΨ

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Dynamical generation of composite particles

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Higgs mechanism through and condensates

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E6 as the minimal group for BSBM

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… continuation in Sofia

(and Pravetz)

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Nambu – Jona-Lasinio extended model

5 52(1 ) (1 )

2T q qG

q

22 5

2 2V AG G

5 50 (1 ) (1 )2

Gq L =

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S=1/2

S=1

R LL L RR

Parity transformation Charge conjugation

L LR RLR RL

T T

T T

AV

AV

Lorentz group representation

W W’ W*W*1111/04/2011

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Mendeleev’s table

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Lorentz group representations

(0,0)(1/2,0) (0,1/2)

(1/2,1/2)(1,0) (0,1)(1,1/2) (1/2,1)(3/2,0) (0,3/2)

(3/2,1/2) (1,1) (1/2,3/2) (0,2)(2,0)

Sc -2 -3/2 -1 -1/2 0 +1/2 +1 +3/2

+201/213/22

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V A

T T~

T T~

V A

Spin-1 states

Chiral representation

mixing

(Parity)

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(JPC) V (1 ) Polar-Axial representation

A (1 )

~ T

~ T

~

(1 )V*

(1 )A*

Spin-1 meson table

JPC

1 r, r’ w, w’; f, f’ K*, K’*

I 1 0 1/2

1 a1 f1 Ka11 b1 h1 Kb111/04/2011 16

Spin-1 hadron resonances

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* *Vq q V

q Vq

* *5q A Aq

5q q A

mixing

M.Chizhov, JETP Lett. 80 (2004) 73

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New mass relation

2 2Weinberg's mass relation 21am mr

2 2 2 2'1 1a bm m m mr r

22 2 2' 1453.8 3.0 MeV

1bm m mr r

PDG' 1465 25 MeVmr

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Other new mass relations

2(mr’ mr)2 3mr’ mr

3(mb )2 0.96 ± 0.03

2(mw’ mw)2 3mw’ mw

3(mh )2 1.01 ± 0.07

IG = 1:

IG = 0:

IG = 0: h1(ss)? mh (mf’ ,mf) 1415 ± 13 MeV

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Meson Summary Table

0 1 m = 1415 ± 13 MeV ?

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“The making of the Standard model”

S. Weinberg, Eur. Phys. J. C 34 (2004) 5

“I supposed that the vector gauge boson of this theory (of the strong interactions) would be the r-meson, while the axial-vector gauge boson would be the a1 meson.”“… but I was applying it to the wrong kind of interactions.The right place to apply these ideas was not the stronginteractions, but to the weak and electromagneticinteractions.”

Nature provides us with one more type of axial-vector bosons b1 and h1. What is their role for the high energy physics?

Technicolor

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? ? ?

5q q A q Vq

* *5q A Aq

techni-pion, techni-r, techni-w … What’s

esle?

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SM slave

Dark matter

Inflation Gravitation Baryon asymmetry

Hierarchy problem

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Can we escape from SM prison?

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The main theoretical motivation for beyond the Standard Model physics around TeV energies (LHC) is provided by the Hierarchy Problem, an inexplicable the UltraViolet stability of the weak interaction scale (MW,Z = 102 GeV) versus the Planck mass (MP = 1019 GeV),

WHY IS M2W,Z/M2

P = 10-34 ?

Introduction of new spin-1 bosons with the internal quantum numbers identical to the Standard Model Higgs doublet can help to solve by the Hierarchy Problem.

MP

1019 GeV102 GeV

MW,Z

103 GeV

MW*,Z*

Motivation for SM extension

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*

0 *

H WZH

M. Chizhov and G. Dvali “Origin and Phenomenology of Weak-Doublet Spin-1 Bosons”, arXiv:0908.0924

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We predict an existence of new excitedchiral particles W* and Z* with new

unique properties.

Z’, graviton and Z* angular distributions

26ATLAS is already looking for them!

* *1 1P

21 * 20,0 1

3* cos *2

d d Z f f d P

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Theoretical comparision between Z’ and Z*

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800 900 1000 1100 12000

5

10

15

20

25

30

35

E

vent

s/40

GeV

/100

pb-1

Mee [GeV]800 900 1000 1100 1200

0

5

10

15

20

25

30

35

Eve

nts/

40 G

eV/1

00 p

b-1

Mee [GeV]

invariant mass

420 460 500 540 5800

5

10

15

Eve

nts/

40 G

eV/1

00 p

b-1

pT [GeV]

420 460 500 540 5800

5

10

15

Eve

nts/

40 G

eV/1

00 p

b-1

pT [GeV]

transverse momentum

-4 -2 0 2 40

5

10

15

20

Eve

nts/

2.0/

100

pb-1

(lepton)-(antilepton)-4 -2 0 2 4

0

5

10

15

20

Eve

nts/

2.0/

100

pb-1

(lepton)-(antilepton)

pseudorapidity difference

-0,8 -0,4 0,0 0,4 0,80

5

10

15

20

Eve

nts/

0.4/

100

pb-1

cos*CS

-0,8 -0,4 0,0 0,4 0,80

5

10

15

20

E

vent

s/0.

4/10

0 pb

-1

cos*CS

angular distribution

M. Chizhov, Disentangling between Z’ and Z* with first LHC data, arXiv:0807.5087

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The ATLAS project is an international collaboration involving 38 countries, more than 3000 physicists and 1000 students from more than 174 universities and laboratories.

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Event display of Run 167607, Event 9435121. This shows the highest-mass dijet event collected during 2010, where the two leading jets in a forward-backward dijet system produce an invariant mass of 4.0 TeV. The two leading jets have (pT, y) of (510 GeV, -1.9) and (510 GeV, 2.2), respectively. The missingET in the event is 31 GeV.

4 TeV ~ 50 zm (zeptometer = 10-21 m) !17,000 times smaller than the proton size!

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The ATLAS Collaboration “Search for high-mass states with one lepton plus missing transverse momentum in proton-proton collisions at √s = 7 TeV with the ATLAS detector”, arXiv:1103.1391, submitted to Physics Letter B

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Z*

The ATLAS Collaboration “Search for high mass dilepton resonances in pp collisions at √s=7 TeV with the ATLAS experiment”, arXiv:1103.6218, submitted to Physics Letter B

Z*

Z*

We were lucky – shortly after colliding beams were announced, at 14:22 an

interesting event appeared on our screens

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Pile Up!

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Excited particles (compositeness)

* why not Z* ?

* *g Z Z

L

14/10/2010

5VZ Ag g Z

LZ* has different interactions than Z’ !

Searches for excited fermions * have been performed at LEP, HERA and the Tevatron, and are also planned for the CMS and ATLAS experiments at the LHC.

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* **Z Zg Z

L

M. C., V. A. Bednyakov, and J. A. Budagov, Proposal for chiral bosons search at LHCvia their unique new signature, Phys. Atom. Nucl. 71 (2008) 2096; arXiv:0801.4235

M=1 TeVZ’

Z*

22 2

d d dd dcos dc

dcos 2d c s oo sT T Mp p

2

2

2 2

4cos 1 ;

d cos 2 :d cos

T

T

pM

p M

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cos2LMp

Tp2M

Jacobian factor for cos Tp

w r o n g !

“The divergence at p/2 which is the upper endpoint pT M/2 of the pT distribution stem from the Jacobian factor and is known as a Jacobian peak ; it is characteristic of all two-body decays …”

V. Barger “Collider physics” 40

Hadron collidersor search for heavy bosons beyond W± and Z

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p p colliders (Tevatron: 6.3 km)

CM980 GeV, 980 GeV; =1960 GeV

1960 GeV 6 330 GeVp pE E E

(LHC: 27 km)CM7000 GeV, 7000 GeV; =14000 GeV

1400

(3500) (3500) (7000)

(70 GeV 6 2330 GeV000) (1165) p pE E E

CM1 2 CM CM

1

2

1

3

6EM x x E x E x

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A hadron collider is the discovery machine. The production mechanism for new bosons at a hadron collider is qq annihilation. A presence of partons with a broad range of different momenta allows to flush the whole energetically accessible region, roughly, up to

(rule of thumb)

11/04/2011 42From Aurelio Juste talk

*Z

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*Z

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