Running !top !Yukawa ! ! for !the !naturalness GGI !2018 ! - PowerPoint PPT Presentation

Running !top !Yukawa ! ! for !the !naturalness GGI !2018 ! Florence, !Italy ! Aug !23, !2018 Hyung !Do !Kim ! (Seoul !National !University) ! with !Raffaele !D’agnolo

Higgs as pNGB works in Nnaturalness works in running Yukawa couplings 2

Is there a third road? ������������ �������������� It is important to fill up the loophole in all possible explanation ? of the hierarchy NATURALNESS MULTIVERSE by S Dimopoulos 3

Nnaturalness 4

������������ Arkani-Hamed !Cohen !D’agnolo ! ! Hook !HDK !Pinner, !PRL !(2016) 5

1m Higgs mass : 1m random dart to 1m*1m in the disk of the solar system 6

Arkani-Hamed !Cohen !D’agnolo ! ! Dvali !Redi !PRD(2009) Hook !HDK !Pinner, !PRL !(2016) N = 10 32 Λ ∗ = 100 GeV enormous reduction of dof if reheaton is a pNGB scenario I scenario II N = 10 16 N = 10 4 Λ ∗ = Λ H = 10 10 GeV Λ ∗ = 10 16 GeV Λ H = 10 TeV by N Arkani-Hamed 7

) ) ) ) ) ) ) c c ) c c c c c E ) E c E E E E E SU (3) c SU (3) E SU (3) SU (3) SU (3) SU (3) SU (3) E , SU (3) , SU L , , , SU (3) , , L L L L L , L L , L SU (2) , SU (2) , SU (2) , c SU (2) , SU (2) , SU (2) , SU (2) , c c c SU (2) , c D c c SU D SU (2) , c D D D D D c D D , U (1) , , c , U (1) , , , U (1) U (1) c U (1) U (1) U (1) U (1) c c , c c c U (1) U , c U U U (1) U U U c U U , , , Q , , , , Q Q Q Q , Q Q , Q ( ( Q ( ( ( ( ( ( × × ( × × × × × × 3 × 3 3 3 3 3 3 3 3 3 ⌘ ⌘ ⌘ ⌘ ⌘ ⌘ ⌘ ⌘ ⌘ 2 ⌘ m 2 m 2 m 2 us − 2 ⇣ 2 4 2 m 2 m 2 us − 1 m 2 ⇣ + 3 ⇣ + 2 3 ⇣ s 1 ⇣ ⇣ m H u ⇣ + ⇣ ⇣ + s s 2 H us − 4 H u s H u H s − H s H u m ⇣ H u H m u H { { { v > v us v = 0 v us = 246 GeV seen as dark sector seen as dark sector dominantly reheated Λ 2 − Λ 2 H H m 2 H i = � Λ 2 � N 2  i  N m 2 H � � � � 2 i + r , 2 , H N

scalar reheat A φ H † H population of the sectors fermion reheat λ SLH m 2 H > 0 T H γγ H + on φ HH H T on φ HH on φ HH H H γγ H - m 2 H < 0 H,W,Z W,Z on φ HH B H on φ HH H on φ HH H,W,Z W,Z B h � q q c ; L h H i6 =0 � C φ v 1 a y q m 2 φ H � W µ ν W µ ν , g 2 L h H i =0 � C φ 1 3 a 16 π 2 m 2 φ 9

different phase of deconstruction ��� VEV ��� ��� ��� ��� ��� � phase A : extra dimension ��� ��� � phase B : Nnaturalness ��� ��� ��� ���� �� ��� ��� ��� ��� ��� dark radiation 4 . 4 + 3 = 7 . 4 no VEV photon neutrino Br(i=2)~ 0.1 Arkani-Hamed !Cohen !D’agnolo ! ! generic prediction ∆ N e ff ∼ O (1) Hook !HDK !Pinner, !PRL !(2016) 10

Nnaturalness Cosmological solution to the naturalness It might explain no new physics at the LHC Cosmological observables might be interesting 11

Why is it working? Reheaton is pNGB (not Higgs itself) The presence of light scalar can be explained by pNGB idea and extra assumption of decay via Higgs can explain why it decays predominantly to the lightest Higgs sector 12

Higgs as pNGB does not work well since y t ∼ O (1) For the relevant operators, it is more important (relevant) at IR g e ff ( µ ) = c Λ c = ✏ ⌧ 1 µ 13

Running Yukawa Couplings 14

Talk at LHCP2017 , May 15-20 1709.00766 † ‡ One possible way out is to make the SM Yukawa and gauge couplings to be relevant. 3 ∆ [ Qt c ] = 2 ∆ [ y t ] = 1 y t ( Λ ) = ( µ Λ ) y t ( µ ) ⌧ y t ( µ ) 15

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10% to 20% fine tuning would be acceptable ∆ = δ m 2 δ m 2 H H ∼ ( m 2 (100 GeV) 2 2 ) H δ m 2 H ∼ (200 GeV) 2 ∆ ∼ 5 20% δ m 2 H ∼ (300 GeV) 2 10% ∆ ∼ 10 17