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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 [email protected]
TopquarkasaprobeofNewPhysics
LittleHiggs
Electroweaksymmetrybreaking
SUSY .....
DecayproductofNPResonances
2
Naturalnesshierarchyproblem
Weakinteracting? Stronglyinteracting?
Composite
ExtraGaugeBosons NewHeavyQuarks Extrascalars
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
| cos ✓| < 0.8<latexit sha1_base64="UqvJbthXUgHZq/JLEFfYrOq9N9o=">AAAB+XicdVBNS0JBFJ1nX2Zfr1q2GZKglcxIpEILqU1Lg/wAFZk3jjo474OZ+wR5+k/atCiibf+kXf+meWpQUQcuHM65l3vv8SIlDRDy4WTW1jc2t7LbuZ3dvf0D9/CoYcJYc1HnoQp1y2NGKBmIOkhQohVpwXxPiaY3vkn95kRoI8PgHqaR6PpsGMiB5Ays1HPdWYeHpgMjAWx2RQrlnpsnBUIIpRSnhJYuiSWVSrlIy5imlkUerVDrue+dfshjXwTAFTOmTUkE3YRpkFyJea4TGxExPmZD0bY0YL4w3WRx+RyfWaWPB6G2FQBeqN8nEuYbM/U92+kzGJnfXir+5bVjGJS7iQyiGETAl4sGscIQ4jQG3JdacFBTSxjX0t6K+YhpxsGGlbMhfH2K/yeNYoGSAr27yFevV3Fk0Qk6ReeIohKqoltUQ3XE0QQ9oCf07CTOo/PivC5bM85q5hj9gPP2CTPvk14=</latexit><latexit sha1_base64="UqvJbthXUgHZq/JLEFfYrOq9N9o=">AAAB+XicdVBNS0JBFJ1nX2Zfr1q2GZKglcxIpEILqU1Lg/wAFZk3jjo474OZ+wR5+k/atCiibf+kXf+meWpQUQcuHM65l3vv8SIlDRDy4WTW1jc2t7LbuZ3dvf0D9/CoYcJYc1HnoQp1y2NGKBmIOkhQohVpwXxPiaY3vkn95kRoI8PgHqaR6PpsGMiB5Ays1HPdWYeHpgMjAWx2RQrlnpsnBUIIpRSnhJYuiSWVSrlIy5imlkUerVDrue+dfshjXwTAFTOmTUkE3YRpkFyJea4TGxExPmZD0bY0YL4w3WRx+RyfWaWPB6G2FQBeqN8nEuYbM/U92+kzGJnfXir+5bVjGJS7iQyiGETAl4sGscIQ4jQG3JdacFBTSxjX0t6K+YhpxsGGlbMhfH2K/yeNYoGSAr27yFevV3Fk0Qk6ReeIohKqoltUQ3XE0QQ9oCf07CTOo/PivC5bM85q5hj9gPP2CTPvk14=</latexit><latexit sha1_base64="UqvJbthXUgHZq/JLEFfYrOq9N9o=">AAAB+XicdVBNS0JBFJ1nX2Zfr1q2GZKglcxIpEILqU1Lg/wAFZk3jjo474OZ+wR5+k/atCiibf+kXf+meWpQUQcuHM65l3vv8SIlDRDy4WTW1jc2t7LbuZ3dvf0D9/CoYcJYc1HnoQp1y2NGKBmIOkhQohVpwXxPiaY3vkn95kRoI8PgHqaR6PpsGMiB5Ays1HPdWYeHpgMjAWx2RQrlnpsnBUIIpRSnhJYuiSWVSrlIy5imlkUerVDrue+dfshjXwTAFTOmTUkE3YRpkFyJea4TGxExPmZD0bY0YL4w3WRx+RyfWaWPB6G2FQBeqN8nEuYbM/U92+kzGJnfXir+5bVjGJS7iQyiGETAl4sGscIQ4jQG3JdacFBTSxjX0t6K+YhpxsGGlbMhfH2K/yeNYoGSAr27yFevV3Fk0Qk6ReeIohKqoltUQ3XE0QQ9oCf07CTOo/PivC5bM85q5hj9gPP2CTPvk14=</latexit><latexit sha1_base64="UqvJbthXUgHZq/JLEFfYrOq9N9o=">AAAB+XicdVBNS0JBFJ1nX2Zfr1q2GZKglcxIpEILqU1Lg/wAFZk3jjo474OZ+wR5+k/atCiibf+kXf+meWpQUQcuHM65l3vv8SIlDRDy4WTW1jc2t7LbuZ3dvf0D9/CoYcJYc1HnoQp1y2NGKBmIOkhQohVpwXxPiaY3vkn95kRoI8PgHqaR6PpsGMiB5Ays1HPdWYeHpgMjAWx2RQrlnpsnBUIIpRSnhJYuiSWVSrlIy5imlkUerVDrue+dfshjXwTAFTOmTUkE3YRpkFyJea4TGxExPmZD0bY0YL4w3WRx+RyfWaWPB6G2FQBeqN8nEuYbM/U92+kzGJnfXir+5bVjGJS7iQyiGETAl4sGscIQ4jQG3JdacFBTSxjX0t6K+YhpxsGGlbMhfH2K/yeNYoGSAr27yFevV3Fk0Qk6ReeIohKqoltUQ3XE0QQ9oCf07CTOo/PivC5bM85q5hj9gPP2CTPvk14=</latexit>
‡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
2�, 3000 fb�1<latexit sha1_base64="QaM/jKhCF+NAbmeuQ1s8GLJCMy8=">AAACBHicdVDLSgMxFM3UV62vqstugkVwoSUzLW3dFd24rGAf0NaSSTNtaDIzJBmhDBXc+CtuXCji1o9w59+YaSuo6IELh3Pu5d573JAzpRH6sFJLyyura+n1zMbm1vZOdnevqYJIEtogAQ9k28WKcubThmaa03YoKRYupy13fJ74rRsqFQv8Kz0JaU/goc88RrA2Uj+bc7qKDQU+hkWE0G3clQJ67vQ6PrGn/WweFU6rZadUhqiAUMV27IQ4lVKxBG2jJMiDBer97Ht3EJBIUF8TjpXq2CjUvRhLzQin00w3UjTEZIyHtGOojwVVvXj2xBQeGmUAvUCa8jWcqd8nYiyUmgjXdAqsR+q3l4h/eZ1Ie9VezPww0tQn80VexKEOYJIIHDBJieYTQzCRzNwKyQhLTLTJLWNC+PoU/k+aTsFGBfuylK+dLeJIgxw4AEfABhVQAxegDhqAgDvwAJ7As3VvPVov1uu8NWUtZvbBD1hvn9oclvY=</latexit><latexit sha1_base64="QaM/jKhCF+NAbmeuQ1s8GLJCMy8=">AAACBHicdVDLSgMxFM3UV62vqstugkVwoSUzLW3dFd24rGAf0NaSSTNtaDIzJBmhDBXc+CtuXCji1o9w59+YaSuo6IELh3Pu5d573JAzpRH6sFJLyyura+n1zMbm1vZOdnevqYJIEtogAQ9k28WKcubThmaa03YoKRYupy13fJ74rRsqFQv8Kz0JaU/goc88RrA2Uj+bc7qKDQU+hkWE0G3clQJ67vQ6PrGn/WweFU6rZadUhqiAUMV27IQ4lVKxBG2jJMiDBer97Ht3EJBIUF8TjpXq2CjUvRhLzQin00w3UjTEZIyHtGOojwVVvXj2xBQeGmUAvUCa8jWcqd8nYiyUmgjXdAqsR+q3l4h/eZ1Ie9VezPww0tQn80VexKEOYJIIHDBJieYTQzCRzNwKyQhLTLTJLWNC+PoU/k+aTsFGBfuylK+dLeJIgxw4AEfABhVQAxegDhqAgDvwAJ7As3VvPVov1uu8NWUtZvbBD1hvn9oclvY=</latexit><latexit sha1_base64="QaM/jKhCF+NAbmeuQ1s8GLJCMy8=">AAACBHicdVDLSgMxFM3UV62vqstugkVwoSUzLW3dFd24rGAf0NaSSTNtaDIzJBmhDBXc+CtuXCji1o9w59+YaSuo6IELh3Pu5d573JAzpRH6sFJLyyura+n1zMbm1vZOdnevqYJIEtogAQ9k28WKcubThmaa03YoKRYupy13fJ74rRsqFQv8Kz0JaU/goc88RrA2Uj+bc7qKDQU+hkWE0G3clQJ67vQ6PrGn/WweFU6rZadUhqiAUMV27IQ4lVKxBG2jJMiDBer97Ht3EJBIUF8TjpXq2CjUvRhLzQin00w3UjTEZIyHtGOojwVVvXj2xBQeGmUAvUCa8jWcqd8nYiyUmgjXdAqsR+q3l4h/eZ1Ie9VezPww0tQn80VexKEOYJIIHDBJieYTQzCRzNwKyQhLTLTJLWNC+PoU/k+aTsFGBfuylK+dLeJIgxw4AEfABhVQAxegDhqAgDvwAJ7As3VvPVov1uu8NWUtZvbBD1hvn9oclvY=</latexit><latexit sha1_base64="QaM/jKhCF+NAbmeuQ1s8GLJCMy8=">AAACBHicdVDLSgMxFM3UV62vqstugkVwoSUzLW3dFd24rGAf0NaSSTNtaDIzJBmhDBXc+CtuXCji1o9w59+YaSuo6IELh3Pu5d573JAzpRH6sFJLyyura+n1zMbm1vZOdnevqYJIEtogAQ9k28WKcubThmaa03YoKRYupy13fJ74rRsqFQv8Kz0JaU/goc88RrA2Uj+bc7qKDQU+hkWE0G3clQJ67vQ6PrGn/WweFU6rZadUhqiAUMV27IQ4lVKxBG2jJMiDBer97Ht3EJBIUF8TjpXq2CjUvRhLzQin00w3UjTEZIyHtGOojwVVvXj2xBQeGmUAvUCa8jWcqd8nYiyUmgjXdAqsR+q3l4h/eZ1Ie9VezPww0tQn80VexKEOYJIIHDBJieYTQzCRzNwKyQhLTLTJLWNC+PoU/k+aTsFGBfuylK+dLeJIgxw4AEfABhVQAxegDhqAgDvwAJ7As3VvPVov1uu8NWUtZvbBD1hvn9oclvY=</latexit>
A. ZZpolarizationonlysensitivetotheaxial-vectorcomponentofZtt coupling;
B. ZZproductioniscomplementarytotheZtt andZtj productionsinmeasurementsoftheZttcoupling.
Thankyou!
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t(vt � at�5)�µtZµ
Topquarkgaugecouplings
19
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)