Searching for

Doubly-Charged Higgs

at the LHC

Sá Borges, Cieza Montalvo

Mauro Tonasse

Nelson Cortez

Universidade do Estado do Rio de Janeiro - Instituto de Física

Universidade Estadual Paulista – Campus de Registro

Universidade Estadual Paulista – Instituto de Física Teórica

Outline

Introduction

Left-Right Model

Experimental Bounds

3-3-1 Model

Pair Production at the LHC

Partial Widths

Results and Conclusion

Left-Right Symmetric Model

Broken to SM by Invariance L RR Lrequires

Scalars

2 2 2

2 2 2 2

1 2 /

cos 1 4 /W

Z W

M v k

M v k

01 1

L,R0 02 2 L,R

2

2

9 k 250 Lv GeV GeV

, ,, , T T

L R L RL R L Re Q u d

(2) (2) (1)L R B LSU x SU x U

2T

ij i jL h C

Couplings

Experimental constraints

Interactions

(lepton number violation)

Bhabha Scattering Muonium-antiMuonium

+ e+ e+ e-

(g-2)

small off-diagonal couplings

left-handed

2 5 2 2.5 10 Hh x M

One Doubly Higgs Production

, , fusio n L R L RW W

Physical single charged scalars

(proton –proton)

1 2, ,R L

Conclusion

W W fusion (H++)

Exceed

Drell-Yan (H++ H--)

2.4 1.75

R R LW LM M M v

Cross Section

Proton-Proton

Pair Production

*, Z

Cross section

General

f f B B

2 2 22 3

2 22 2 4 4

2 ( ) ( )2

6L Rpair

ZL R

W W WZ

WZ

QqA a a A a ass Q q

sP

sP

cP

c

3 L 3 R a aW W WA T s Q t s q c q

2 s TeV

14 s TeV1100 fb

2

2 2 2 2 2

1 1 1

( )Z

Z Z ZZZ Z ZZP P P

M

s s M MP

s

15 fb

250 H

M GeV Tevatron

LHC

1 H

M TeV

Experimental Bounds

++ ++L R

-

H H

1

Run II

s =1.96 TeV L=113 pb

M > 118.4 GeV M > 98.2

0

GeV

D

++L

++L

-

H

1

1

H

-

Run II

s =1.96 TeV

L= 350 pb M > 113.6 GeV

L= 322 pb M > 112.1 GeV

e

CDF

SU(3)c x SU(3)L x U(1)N

SM chiral extension Solve family’s replication problem

Colors anomaly cancelation

Seesaw mechanism

# 2sin < 1/4W

Charge Operator 3 8

13

2

QN

e

Overview

Left-Handed Leptons ( L)T cL L

l P P l

Quark Sector 1 1 1 1 2,3 2,3 2,3 2,3 T TL LL L

Q u d J Q u d J

Scalar Sector 0 T 0 01 2 T T

Higgs Potential

2† † † † †1 4 7

3

... ... ...

1 , 0

2ijk

i j k

V

f f

Gauge Bosons ' Z V UZ W

Symmetry Breaking

,(3) (1) (2) (1) (1)L N L Y emSU U SU U U

Neutral Sector4 4

2 12 2

24

u v

v u

Charged Sector

2 2 2( , , ) , Wv u w v u v w vv i u

0 021 , 3

0 H HH

2 2

922

u wfv uw

vw

1 2 , , H H

,H

The Production of a

Pair of Doubly Charged Higgs

at LHC

in the 3-3-1 Model

Drell-Yan Mechanism

Gauge Bosons

Scalars

Gluon-Gluon Fusion

only scalars

Quark loop contribution

03 from H

2 11 ln

2 1J

JJ

I

2

2 22 2

2

(32 ) sH

J J J JJ

M I

24s M

s for the scalar and the quarks

quark and scalar couplings

1

20

1 ln 1J

J

x sxdxI

x M

Exotic Particles Masses

E M T

190 1140 2600 1300 1030 1830 2200 600 600

1 2 3 J J J ' Z V U

Parameters

1 2 3 4 5 6 7 8 9

-1.2 -1. -1. -2.84 -1.57 1.

-3. -1. -1.

195 1300 v VV Gv Ge e

Numerical values for

Total Cross Section

Convolute parton momentum spectra

using CTEQ5

Numerical Integration by VEGAS

, , q qf f G min

1 ln

ln

( ) ( ) ( )y yd dy e e xs

Quarks, gluons

Comparison

Left-Right Model

Comparison

0.001 0.08 0.005 3.0 6.0 2.0 19.0 29.0 444

--H H H

l E l M l M l E 01U H

1V H U U Z

Branching Ratios

1300 H

M GeV

H

qJ

Conclusion

Large number of doubly

charged scalars produced

by Drell-Yan mechanism

Small branching ratio

for ordinary quarks

and leptons production

Thank you

Pair of Doubly Charged Higgs Production at LHC

3-3-1