The QCD Axion. Giovanni Villadoro

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1 The QCD Axion Giovanni Villadoro

2 the strong CP problem

3 The Strong CP problem

4 The Strong CP problem neutron EDM Pendlebury et al. '15

5 The Strong CP problem neutron EDM Pendlebury et al. '15

6 The Strong CP problem neutron EDM Pendlebury et al. '15

7 The Strong CP problem neutron EDM Pendlebury et al. '15

8 The Strong CP problem neutron EDM Pendlebury et al. '15

9 The PQ axion solution

10 the PQ solution symmetry with color anomaly: Peccei Quinn '77

11 the PQ solution symmetry with color anomaly: Peccei Quinn '77

12 the PQ solution symmetry with color anomaly: if exact: Peccei Quinn '77

13 the PQ solution Peccei Quinn '77 symmetry with color anomaly: if exact: in SM broken by: (a.k.a. mu = 0 solution)

14 the PQ solution Peccei Quinn '77 symmetry with color anomaly: if exact: in SM broken by: in BSM anomaly matching requires: (a.k.a. mu = 0 solution) a) massless color fermions b) Nambu-Goldstone boson

15 the PQ solution Peccei Quinn '77 symmetry with color anomaly: if exact: in SM broken by: in BSM anomaly matching requires: (a.k.a. mu = 0 solution) a) massless color fermions b) Nambu-Goldstone boson

16 the PQ solution Peccei Quinn '77 symmetry with color anomaly: if exact: in SM broken by: in BSM anomaly matching requires: (a.k.a. mu = 0 solution) a) massless color fermions b) Nambu-Goldstone boson axion Weinberg, Wilczek '78

17 the QCD axion solution

18 the QCD axion solution QCD Vafa Witten '84

19 QCD Axion properties

20 QCD axion couplings g

21 QCD axion couplings PQ g γ ψ

22 QCD axion couplings PQ g γ ψ γ ψ

23 QCD axion: mass & potential fa p,n,... K π a

24 QCD axion: mass & potential fa p,n,... K EFT π pion EFT a

25 QCD axion: mass & potential fa Weinberg '78 p,n,... K EFT π pion EFT a

26 QCD axion: mass & potential fa Weinberg '78 p,n,... K Di Vecchia Veneziano '80 EFT π cosine pion EFT a

27 mass & NLO Grilli et al. '15

28 mass & NLO Grilli et al. '15

29 mass & NLO Grilli et al. '15 ~1% accuracy

30 mass & NLO Grilli et al. '15 ~1% accuracy full potential with % accuracy: DW

31 mass & NLO Grilli et al. '15 ~1% accuracy full potential with % accuracy: DW for lattice QCD:

32 coupling to photons mo p. e ld e d mo n li e d p. e d Grilli et al. '15

33 coupling to photons mo n li e d p. e d CAST ADMX =0 /3 E/N /N=8 E =2 E/N SN1987A mo p. e ld e d Grilli et al. '15

34 coupling to nucleons N a Grilli et al. '15

35 coupling to nucleons Grilli et al. '15 N a model independent couplings model dependent couplings

36 coupling to electrons e a Srednicki '85

37 coupling to electrons e induced coupling to electrons: a Srednicki '85

38 QCD Axion as DM

39 QCD Axion DM T Λ QCD Preskill Wise Wilczek '83 Abbott Sikivie '83 Dine Foschler '83

40 QCD Axion DM T Λ QCD Preskill Wise Wilczek '83 Abbott Sikivie '83 Dine Foschler '83

41 QCD Axion DM T Λ QCD Preskill Wise Wilczek '83 Abbott Sikivie '83 Dine Foschler '83 within our visible Universe depending on inflation scale

42 QCD Axion DM T Λ QCD Preskill Wise Wilczek '83 Abbott Sikivie '83 Dine Foschler '83 within our visible Universe uncalculable calculable depending on inflation scale see talk by Redondo

43 QCD Axion DM occupation # = classical field!

44 QCD Axion DM occupation # oscillating scalar field: = classical field!

45 QCD Axion DM occupation # oscillating scalar field: = classical field! ~10-3 virial velocity

46 QCD Axion DM occupation # oscillating scalar field: osc. freq. = classical field! ~10-3 virial velocity

47 QCD Axion DM occupation # oscillating scalar field: osc. freq. = classical field! ~10-3 virial velocity line width

48 QCD Axion DM occupation # oscillating scalar field: osc. freq. = classical field! ~10-3 virial velocity line width Exploit!

49 QCD Axion searches

50 Parameter Space fa (GeV) HB BH ma (ev) coupling to gluon or gravity coupling to electrons SN1987A

51 Parameter Space fa (GeV) DM-1 BH ma (ev) 1015 DM coupling to gluon or gravity coupling to electrons HB SN1987A

52 Parameter Space fa (GeV) DM-1 BH DM HB ADMX ma (ev) coupling to gluon or gravity coupling to photons coupling to electrons DM search SN1987A

53 Parameter Space fa (GeV) DM-2 ABRACADABRA ADMX KLASH CASPER DM-1 BH ma (ev) SN1987A IAXO ARIADNE 10-3 coupling to gluon or gravity DM search coupling to photons non DM search coupling to electrons HB MADMAX QUAX

54 Models of Axions

55 Axion Models

56 Axion Models

57 Axion Models KSVZ Kim '79, Shifman et al. '80 Zhitnitsky '80, Dine et al. '81

58 Axion Models KSVZ Kim '79, Shifman et al. '80 Zhitnitsky '80, Dine et al. '81

59 Axion Models KSVZ DFSZ Kim '79, Shifman et al. '80 Zhitnitsky '80, Dine et al. '81

60 Axion Models KSVZ DFSZ Kim '79, Shifman et al. '80 Zhitnitsky '80, Dine et al. '81

61 Axion Models Composite axion models: ΨΨ Kim '85

62 Axion Models Composite axion models: PQ by Quantum Gravity... ΨΨ Kim '85 Accidental Axion models Randall '92, Dobrescu '96, Redi, Sato '16,...

63 Axion Models Composite axion models: ΨΨ PQ by Quantum Gravity... PQ only non-perturbative in GN Kim '85 Accidental Axion models Randall '92, Dobrescu '96, Redi, Sato '16,...

64 Axion Models Composite axion models: ΨΨ PQ by Quantum Gravity... Kim '85 Accidental Axion models PQ only non-perturbative in GN e.g. string axions from Wilson lines: Randall '92, Dobrescu '96, Redi, Sato '16,...

65 Axion Models Composite axion models: ΨΨ PQ by Quantum Gravity... Kim '85 Accidental Axion models Randall '92, Dobrescu '96, Redi, Sato '16,... PQ only non-perturbative in GN e.g. string axions from Wilson lines: And also: axion-flavon, axion-majoron, clockwork axions, etc...

66 Thank you

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