BinYanLosAlamosNationalLaboratory

Probing couplings using Z boson polarization in ZZ production at hadron colliders

1

Ztt

Incollaborationwith:Qing-Hong Cao,C.-P.YuanandYa ZhangPRD102(2020)5,055010

Nov 6-9, 2020@CLHCP 2020binyan@lanl.gov

TopquarkasaprobeofNewPhysics

LittleHiggs

Electroweaksymmetrybreaking

SUSY .....

DecayproductofNPResonances

2

Naturalnesshierarchyproblem

Weakinteracting? Stronglyinteracting?

Composite

ExtraGaugeBosons NewHeavyQuarks Extrascalars

Topquark&EWSB

3

V = � sin4h

f� � sin2

h

f

Forexample:incompositeHiggsmodel

TopquarkandEWSB

4

V = � sin4h

f� � sin2

h

f

Toppartner

Gaugebosons

t t

h�i h�i

T T

Z

t

h�i h�i

T B

W

b

Topquarkgaugecouplings

5

A.Chargecurrent

d1,−11 = 1− cosθ

2,d1,1

1 = 1+ cosθ2

d1,01 = − sinθ

2

d1,−11 = 1− cosθ

2,d1,1

1 = 1+ cosθ2

d1,01 = − sinθ

2

Q.-H.Cao,B.Yan,J.H,YuandC.Zhang,CPC41(2017)6,063101E.L.Berger,Q.-H.CaoandI.Low,PRD80,074020(2009)

Topquarkgaugecouplings

6

B.Neutralcurrent

-1 .0 -0 .5 0 .0 0 .5 1 .0-2 .0-1 .6-1 .2-0 .8-0 .40 .00 .40 .8

dVt

dat

Ztt

tZj

vSMt = 0.35, aSMt =1

2

E.L.Berger,Q.-H.CaoandI.Low,PRD80,074020(2009)R.Rontsch andM.Schulze,JHEP07,091(2014)O.Bessidskaia Bylund etal,JHEP05,052(2016)

13TeV

L =gW2cW

t(vt � at�5)�µtZµ

DistinguishingthevectorandaxialvectorcomponentsofZtt coupling=>differentNPmodels

TopquarkNeutralcurrent&NP

7

F.Richard,arxiv:1403.2893

Lt:lefthandedZtt couplingRt:righthandedZtt coupling

vt =Lt +Rt

2

at =Lt �Rt

2

Howtodistinguishthetopquarkcouplings

8

A B

C

D

E

F

Ú SM

HaL

-0.10 -0.05 0.00 0.05 0.10-0.10

-0.05

0.00

0.05

0.10

FL

FR

Q.H.CaoandB.Yan,PRD92,094018(2015)

A,BandC:extradimensionalmodelsD,EandF:thecompositemodels

E.L.Berger,Q.H.Cao,I.Low,PRD80(2009)074020

A.TopquarkSpincorrelation

cos ✓ =�!st ·�!pl|�!st ||�!pl |

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B. ��(`+`�)<latexit sha1_base64="0o84bQELf5ApJaappqpERg722bs=">AAACAXicbVDLSsNAFJ3UV62vqBvBTbAIFbEkIuiyqAuXFewDmlgm05t26GQSZiZCCXXjr7hxoYhb/8Kdf+M0zUJbD9zL4Zx7mbnHjxmVyra/jcLC4tLySnG1tLa+sbllbu80ZZQIAg0SsUi0fSyBUQ4NRRWDdiwAhz6Dlj+8mvitBxCSRvxOjWLwQtznNKAEKy11zT33GpjCbjygFRcYuz/O+slR1yzbVTuDNU+cnJRRjnrX/HJ7EUlC4IowLGXHsWPlpVgoShiMS24iIcZkiPvQ0ZTjEKSXZheMrUOt9KwgErq4sjL190aKQylHoa8nQ6wGctabiP95nUQFF15KeZwo4GT6UJAwS0XWJA6rRwUQxUaaYCKo/qtFBlhgonRoJR2CM3vyPGmeVh276tyelWuXeRxFtI8OUAU56BzV0A2qowYi6BE9o1f0ZjwZL8a78TEdLRj5zi76A+PzBzuFlhU=</latexit><latexit sha1_base64="0o84bQELf5ApJaappqpERg722bs=">AAACAXicbVDLSsNAFJ3UV62vqBvBTbAIFbEkIuiyqAuXFewDmlgm05t26GQSZiZCCXXjr7hxoYhb/8Kdf+M0zUJbD9zL4Zx7mbnHjxmVyra/jcLC4tLySnG1tLa+sbllbu80ZZQIAg0SsUi0fSyBUQ4NRRWDdiwAhz6Dlj+8mvitBxCSRvxOjWLwQtznNKAEKy11zT33GpjCbjygFRcYuz/O+slR1yzbVTuDNU+cnJRRjnrX/HJ7EUlC4IowLGXHsWPlpVgoShiMS24iIcZkiPvQ0ZTjEKSXZheMrUOt9KwgErq4sjL190aKQylHoa8nQ6wGctabiP95nUQFF15KeZwo4GT6UJAwS0XWJA6rRwUQxUaaYCKo/qtFBlhgonRoJR2CM3vyPGmeVh276tyelWuXeRxFtI8OUAU56BzV0A2qowYi6BE9o1f0ZjwZL8a78TEdLRj5zi76A+PzBzuFlhU=</latexit><latexit sha1_base64="0o84bQELf5ApJaappqpERg722bs=">AAACAXicbVDLSsNAFJ3UV62vqBvBTbAIFbEkIuiyqAuXFewDmlgm05t26GQSZiZCCXXjr7hxoYhb/8Kdf+M0zUJbD9zL4Zx7mbnHjxmVyra/jcLC4tLySnG1tLa+sbllbu80ZZQIAg0SsUi0fSyBUQ4NRRWDdiwAhz6Dlj+8mvitBxCSRvxOjWLwQtznNKAEKy11zT33GpjCbjygFRcYuz/O+slR1yzbVTuDNU+cnJRRjnrX/HJ7EUlC4IowLGXHsWPlpVgoShiMS24iIcZkiPvQ0ZTjEKSXZheMrUOt9KwgErq4sjL190aKQylHoa8nQ6wGctabiP95nUQFF15KeZwo4GT6UJAwS0XWJA6rRwUQxUaaYCKo/qtFBlhgonRoJR2CM3vyPGmeVh276tyelWuXeRxFtI8OUAU56BzV0A2qowYi6BE9o1f0ZjwZL8a78TEdLRj5zi76A+PzBzuFlhU=</latexit><latexit sha1_base64="0o84bQELf5ApJaappqpERg722bs=">AAACAXicbVDLSsNAFJ3UV62vqBvBTbAIFbEkIuiyqAuXFewDmlgm05t26GQSZiZCCXXjr7hxoYhb/8Kdf+M0zUJbD9zL4Zx7mbnHjxmVyra/jcLC4tLySnG1tLa+sbllbu80ZZQIAg0SsUi0fSyBUQ4NRRWDdiwAhz6Dlj+8mvitBxCSRvxOjWLwQtznNKAEKy11zT33GpjCbjygFRcYuz/O+slR1yzbVTuDNU+cnJRRjnrX/HJ7EUlC4IowLGXHsWPlpVgoShiMS24iIcZkiPvQ0ZTjEKSXZheMrUOt9KwgErq4sjL190aKQylHoa8nQ6wGctabiP95nUQFF15KeZwo4GT6UJAwS0XWJA6rRwUQxUaaYCKo/qtFBlhgonRoJR2CM3vyPGmeVh276tyelWuXeRxFtI8OUAU56BzV0A2qowYi6BE9o1f0ZjwZL8a78TEdLRj5zi76A+PzBzuFlhU=</latexit>

Howtodistinguishthetopquarkcouplings

9

Otherpossibility:Q.-H.Cao,B.Yan, C.-P.YuanandYa Zhang,

PRD102(2020)5,055010

TopquarkcouplingwillchangethepolarizationsofZbosonpair

PolarizationofZZscattering

10

BothquarkandgluoninitialstatesaredominantlybytheTTmode

qqôZZggôZZ

LLTLTT

200 400 600 800 10000 .00 .20 .40 .60 .81 .0

m ZZ @GeVD

Fraction

TTmode

T:transverseL:longitudinal

GoldstoneequivalencetheoremandUnitarity

11

ThelightquarkcontributiontoLLmodewillbesuppressed

ThereisacancellationbetweenthetriangleandboxdiagramsduetotheUnitarity

12

M⇤�1,�2,�3,�4

=�v2q + a2q

�A�1,�2,�3,�4

+�v2q � a2q

�B�1,�2,�3,�4 + a2qC�1,�2,�3,�4

EnergyDependenceinthehighenergylimit:

s = �t/2 = �u/2 � mt,mz

Axial current is not conserved for massive top quark.

Axialcurrentoftopquarkcoupling

E.W.N.GloverandJ.J.vanderBij,NPB321,561(1989)

L =gW2cW

t(vt � at�5)�µtZµ

UnitarityofGluonFusion

13

EnergyDependenceinthehighenergylimit:

StrongcancelationUnitarity+Axialcurrentis not conserved

at =1

2(SM)

LLmodeissensitivetotheaxialcurrentoftopquark

M⇤±,±,0,0 ⇠ �a2t

m2t

m2Z

log2

✓s

m2t

◆� 2i⇡ log

✓s

m2t

◆�.

M4±,±,0,0 ⇠ m2

t

4m2Z

log2

✓s

m2t

◆� 2i⇡ log

✓s

m2t

◆�.

Crosssectionandpolarization

14

dat=-0 .4 dat=0 .4dvt=-0 .4 dvt=0 .4SM

200 400 600 800 10000 .0

0 .2

0 .4

0 .6

0 .8

1 .0

m ZZ @GeVDLLfraction

dat=-0 .4 dat=0 .4dvt=-0 .4 dvt=0 .4

200 400 600 800 1000123456

mZZ @GeVD

sêsSMHggÆZZL

�vt = vt � vSMt , �at = at � aSMt .

TheaxialcurrentoftopquarkwillchangethetotalcrosssectionandLLfractionremarkably

HowtomeasureLLmodeattheLHC?

PolarizationofZbosonsinZZscattering

15

Z

`+

`�

�T =3

8(1 + cos ✓2)

�L =3

4(1� cos ✓2)

fT fL

-1 .0 -0 .6 -0 .2 0 .2 0 .6 1 .00 .0

0 .2

0 .4

0 .6

cos @qD

Normalized

distribution Transverse:

Longitudinal:

Zboson restframe:

qqôZZ ggôZZqq MG5 gg MG5

-1 .0 -0 .5 0 .0 0 .5 1 .00 .4

0 .5

0 .6

0 .7

cosq

1êsdsêdc

osq d�

�d cos ✓= fL�L + fT�T

ThetheoreticalcalculationagreeswithMG5verywell

ZZ polarizationfractions: fL,T

ColliderSimulation@13TeV LHC

16

|⌘l| < 2.5, PT ` > 15 GeV

80 < m`+`� < 100 GeV

m4` > 600 GeVmZZ > 600 GeV

|⌘Z | < 2.Effectively

Detectoreffectsfortheedges

Ha L

qqôZZ ggôZZqq MG5 gg MG5

-1 .0 -0 .5 0 .0 0 .5 1 .00 .0

0 .2

0 .4

0 .6

0 .8

cosq

1êsdsêdc

osq Hb L qqôZZ ggôZZ

-0 .6 -0 .2 0 .2 0 .60 .6

0 .8

1 .0

1 .2

1 .4

cosq

TheoryêMG5

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‡SM

Øoff-she ll Higgs

ttZ tZjZZû1 3 ZZû1 0 0

-0 .4 -0 .2 0 .0 0 .2 0 .4-1 .2

-0 .8

-0 .4

0 .0

0 .4

0 .8

dvt

dat

ZZpolarizationandtopquark

17

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A. ZZpolarizationonlysensitivetotheaxial-vectorcomponentofZtt coupling;

B. ZZproductioniscomplementarytotheZtt andZtj productionsinmeasurementsoftheZttcoupling.

Thankyou!

L =gW2cW

t(vt � at�5)�µtZµ

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Topquarkgaugecouplings

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𝑂"#(%) = 𝑖 𝜙*𝐷,𝜙 𝑞.𝛾,𝑞

𝑂"#(0) = 𝑖 𝜙*𝜏2𝐷,𝜙 𝑞.𝛾,𝜏2𝑞𝑂"3 = 𝑖 𝜙*𝐷,𝜙 𝑡6𝛾,𝑡6

𝑂"" = 𝑖 𝜙7*𝐷,𝜙 t6𝛾,𝑏6

𝑞 = 𝑡𝑏 :

𝜙7 = 𝑖𝜏;𝜙∗

E.L.Berger,Qing-Hong Cao,IanLow,Phys.Rev.D80:074020(2009)

Topquarkgaugecouplings

𝑂=3> =𝑐"#(0)𝑣;

𝛬;𝑔2𝑊,*��:𝛾,𝑏: +

𝑐""𝑣;

2𝛬;𝑔2𝑊,*��6𝛾,𝑏6 + ℎ. 𝑐.

𝑂H33 =𝑐"#(0) − 𝑐"#

(%) 𝑣;

𝛬;𝑔2𝑐=

𝑍,��:𝛾,𝑡: −𝑐"3𝑣;

2𝛬;𝑔2𝑐=

𝑍,��6𝛾,𝑡6

−8×10OP ≤𝑐""𝑣;

2𝛬; ≤ 2.1×10O0

Q.-H.Cao,B.Yan,J.H,YuandC.Zhang,CPC41(2017)6,063101

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