Outlook: Higgs, SUSY, flavor

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Outlook Higgs, SUSY, flavor

• Ken-ichi Hikasa (Tohoku U.)

Fourth Workshop, Origin of Mass and SUSY March 8,
2006, Epochal Tsukuba
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Apology

• This is not designed to be a summary talk, so no
  reference to most of the talks

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Standard Model
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SM GHY

• Three elements
• G gauge
• H Higgs
• Y Yukawa

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SM GHY

• Three elements
• G gauge Dm
• H Higgs
• Y Yukawa
• All gauge interactions from Dm ?m ig Am
• ? Universality unique coupling,
• blindness to
  generations

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SM GHY

• Three elements
• G gauge
• H Higgs l j4
• Y Yukawa
• Symmetry breaking, W,Z masses
• Higgs mass term m2 only dimensional parameter in
  SM (classically)
• ? sets the weak scale

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SM GHY

• Three elements
• G gauge
• H Higgs
• Y Yukawa y f f j
• Fermion couplings to Higgs field
• give masses to quarks/leptons

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SM GHY

• Three elements
• G gauge Dm
• H Higgs
• Y Yukawa
• Only interaction experimentally confirmed
• 2/3 of SM still to be tested

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SM GHY

• Three elements
• G gauge
• H Higgs
• Y Yukawa yij fi fj j
• No universality origin of flavor difference
  and mixing
• Most of parameters in SM

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Generation mixing
If no Yukawa coupling, generation labels has no
meaning
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Generation mixing
Charged current interactions connects ups and
downs
W
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Generation mixing
Yukawa couplings breaks the generation symmetry
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Generation mixing
Mismatch of ups and downs gives the Cabibbo mixing
u2
c
u1
u
d2
W
s
d1
?C
d
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Leptons
If the neutrinos were massless
n 2
n1
? 2
m
?1
e
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Leptons
Neutrino eigenstates can be defined only by
charged current and the lepton flavors are
conserved
n2
nm
n1
ne
? 2
m
?1
e
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Neutrino mass (side remark)

• In SM, n is made to be massless
• Quark-lepton correspondence
• Naturally expect nR Yukawa
• nR gauge blind particle (hard to see)
• Ultratiny mass suggests different origin
• Important question Dirac or Majorana?

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Higgs sector
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DIweak ½ Rule

• Quark/lepton masses have to be DIweak ½
• W, Z masses can have any DIweak
• Precision measurements experimental evidence for
  DIweak ½ dominance

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DIweak ½ Rule
r1 to high precision ? doublet vev dominance
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Indirect Higgs limit
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Direct Higgs searches

• Still a long way to go, but worth pursueing

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MSSM implies light Higgs
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MSSM/two doublet

• Large tan b region started to be excluded at
  Tevatron

A0? tt-
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Beyond SM

• Standard Model is not the final story

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(Observational) reasons we need FBSM

• Gravity
• Dark Matter
• Dark Energy
• Baryon asymmetry
• CMB
• Neutrino mass

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(Theoretical) reasons we need FBSM

• No strong CP violation
• Hierarchy problem?
• Too many parameters?
• Unification of gravity

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Where to seek for FBSM

• New particles
• Energy frontier
• Faint interactions (can be light)
• Forbidden processes
• baryon violation
• lepton violation
• lepton flavor violation
• (seen in n oscillations, but very
  small)
• Suppressed processes

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Weak interaction processes

• Superallowed
• t ? b, c ? s
• CKM suppressed (tree-allowed but small)
• b ? c, u s ? u
• GIM suppressed (tree-forbidden)
• FCNC b ? s, d s ? d
• Good place to look for new physics

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FBSM Scenarios
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Supersymmetry

• Raison dêtre aka excuse
• Unique nontrivial extension of the Poincaré
  group ( Einsteins relativity)
• Motivation _at_ weak scale
• Stabilize Fermi-Planck hierarchy by cancelling
  loop corrections

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Extra Dimensions

• Raison dêtre aka excuse
• Superstrings require 10 spacetime dimensions for
  consistency
• Motivation _at_ weak scale
• (Originally) trading the Fermi-Planck hierarchy
  for large extra-dim size
• More recently, branes, Randall-Sundrum
  hierarchy,

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Extra Dimensions

• All SM interactions are nonrenormalizable for Dgt5
• ? Couplings tend to blow up above weak scale
• Strong-coupling phenomena at TeV
• (Technicolor-type physics)
• Higgsless models Heavy W,Z recurrences should
  appear

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And many others
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Minimal Supersymmetric Standard Model
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MSSM

• Many parameters (gt100)
• New sources of flavor structure
• Sfermion masses (left and right)
• LR mixing (A term)
• New sources of CP violation
• LSP neutralino good DM candidate

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D-squark mass matrix
One new source of flavor mixing
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D-squark mass matrix
Chiral substructure of sfermion mass
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Vast parameter space

• Most regions contradict with neutral Kaon mixing
• mSUGRA, CMSSM tiny regions in the parameter
  space
• Useful as a guideline
• Should not trust too much

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Varied phenomenology

• Different mass patterns
• Generally colored gt noncolored
• Split SUSY scalars gt gauginos
• Focus point light higgsinos
• Interesting alternatives
• Gauge mediation stau LSP
• Anomaly mediation light wino
• R parity violation exotic resonances

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Dark Matter
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Rare b decays

• In SM, b ? s is much more suppressed than b ? c
• ? good place for new physics
• b-s sfermion mixing can contribute to CP asymmetry

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New physics effects on b ? s
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Sign of SUSY contributions

• Extra contribution to sL
• ? Same sign deviation for B ? fK and hK
• New mixing of sR
• ? Opposite sign deviation for B ? fK and hK

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Consequence of possible deviation

• If both fK and hK deviates in the same
  direction, new physics are in the left-handed
  sector
• (the data are old)

Endo, Mishima, Yamaguchi
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Lepton-flavor violation

• Neutrino mass mixing way too small effect on
  charged lepton FV
• Supersymmetry slepton mass matrix gives new LFV
  source
• GUT quark mixing ? lepton mixing
• Right-handed n ? new mixing source
• Observable effect expected in
• t ? mg, m ? eg etc.

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Conclusions
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Conclusions

• Tevatron has plunged into new luminosity frontier
• SM Higgs important target to pursue
• MSSM/Two doublet already started to constrain
  parameter space
• Supersymmetry, XD, etc
• Dont wait for LHC

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Conclusions (contd)

• B factories
• Very rich physics output
• Good measurements of all 3 angles
• Hint of new physics??
• t LFV unique place to seek for FBSM
• Kaon physics
• should not be discontinued

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Future
LHC, ILC
K physics
B physics
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One final remark

• Mass-origin priority-area grant ends in one
  month,
• but
• We are still on the way!