The QCD axion, precisely.

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1 The QCD axion, precisely. Giovanni Villadoro based on: [JHEP 1601, 034] G. Grilli di Cortona E. Hardy J. Pardo Vega [JHEP 1603., 155] C.Bonati M.D'Elia M.Mariti G.Martinelli M.Mesiti F.Negro F.Sanfilippo

2 the problem

3 The Strong CP problem

4 The Strong CP problem neutron EDM

5 The Strong CP problem neutron EDM

6 The Strong CP problem neutron EDM

7 The Strong CP problem neutron EDM

8 The Strong CP problem neutron EDM

9 the axion solution

10 the QCD axion: what it is

11 the QCD axion: what it is PQ

12 the QCD axion: what it is PQ

13 the QCD axion: what it is PQ

14 the QCD axion: how it solves the problem QCD Vafa Witten '84

15 2 birds with 1 stone

16 the QCD axion: relic abundance

17 the QCD axion: relic abundance T Λ QCD

18 the QCD axion: relic abundance T Λ QCD

19 the QCD axion: relic abundance T Λ QCD

20 the QCD axion: relic abundance

21 the QCD axion: relic abundance misalignment contribution fixed

22 the QCD axion: relic abundance misalignment contribution fixed extra axion from strings + domain walls large uncertainties

23 the QCD axion: relic abundance misalignment contribution fixed extra axion from strings + domain walls large uncertainties

24 the QCD axion: relic abundance misalignment contribution fixed extra axion from strings + domain walls large uncertainties

25 the QCD axion: relic abundance misalignment contribution fixed extra axion from strings + domain walls large uncertainties only contribution from misalignment but not calculable

26 the QCD axion: relic abundance misalignment contribution fixed extra axion from strings + domain walls large uncertainties only contribution from misalignment but not calculable

27 axion hunting

28 fa (GeV)

29 fa (GeV) 1018 BH HB SN1987A

30 fa (GeV) 1018 BH Dark Matter? HB SN1987A

31 fa (GeV) 1018 BH Dark Matter? HB SN1987A ADMX

32 fa (GeV) Dark Matter? BH ABRACADABRA CASPER HB SN1987A ADMX Dish Antenna QUAX IAXO ARIADNE

33 fa (GeV) Dark Matter? BH ABRACADABRA CASPER Axion DM: HB SN1987A ADMX Dish Antenna QUAX IAXO ARIADNE

34 fa (GeV) Dark Matter? BH ABRACADABRA CASPER Axion DM: HB SN1987A ADMX Dish Antenna QUAX IAXO ARIADNE

35 fa (GeV) Dark Matter? BH ABRACADABRA Axion DM: Resonant Exp.:! 108 HB SN1987A ADMX Dish Antenna QUAX CASPER 109 IAXO ARIADNE

36 fa (GeV) Dark Matter? BH ABRACADABRA ADMX Axion DM: Resonant Exp.: 108 HB SN1987A Dish Antenna QUAX CASPER 109! Other couplings? IAXO ARIADNE

37 QCD axion properties

38 fa p,n,... K π a the QCD axion: and its EFT

39 the QCD axion: and its EFT fa p,n,... K π a EFT

40 the QCD axion: and its EFT fa p,n,... K π a EFT

41 the QCD axion: and its EFT fa p,n,... K π a EFT

42 the QCD axion: and its EFT fa p,n,... K π a EFT the axion is an external source in the EFT at LO in 1/fa

43 the QCD axion: potential

44 the QCD axion: potential Di Vecchia Veneziano '80 cosine

45 the QCD axion: potential Di Vecchia Veneziano '80 cosine Weinberg '78

46 the QCD axion: the

47 the QCD axion: the

48 the QCD axion: the

49 the QCD axion: the lattice average:

50 the QCD axion: the lattice average:

51 the QCD axion:

52 the QCD axion:

53 the QCD axion: cosine 1

54 the QCD axion: cosine 1 domain wall

55 the QCD axion: cosine 1 domain wall cosine 8

56 the QCD axion: photon

57 the QCD axion: photon E/N = 0 (KSVZ,...) 8/3 (DFSZ, GUT KSVZ,...) 2 (Unificaxion,...)

58 the QCD axion: photon E/N = 0 (KSVZ,...) 8/3 (DFSZ, GUT KSVZ,...) 2 (Unificaxion,...) tree ~ 2

59 the QCD axion: photon E/ N = 0 (KSVZ,...) 8/3 (DFSZ, GUT KSVZ,...) 2 (Unificaxion,...) tree ~ 2

60 the QCD axion: photon E/ N = 0 (KSVZ,...) 8/3 (DFSZ, GUT KSVZ,...) 2 (Unificaxion,...) tree ~ 2 NLO from

61 the QCD axion: photon

62 fa EFT p,n,... K π a the QCD axion: matter coupling

63 the QCD axion: matter coupling fa p,n,... K a π a p EFT

64 the QCD axion: matter coupling from β decays: from lattice QCD:

65 the QCD axion: matter coupling from β decays: from lattice QCD:

66 the QCD axion: matter coupling from β decays: from lattice QCD: model independent couplings

67 the QCD axion: matter coupling from β decays: from lattice QCD: from RGE effects model independent couplings

68 the hot axion

69 the QCD axion: relic abundance

70 the QCD axion: relic abundance

71 the QCD small temperature T < Tc~155 MeV

72 the QCD small temperature T < Tc~155 MeV

73 the QCD higher temperature Gross Pisarski Yaffe '81 T >> Tc

74 the QCD higher temperature Gross Pisarski Yaffe '81 T >> Tc integral over instanton sizes

75 the QCD higher temperature Gross Pisarski Yaffe '81 T >> Tc integral over instanton sizes

76 the QCD higher temperature Gross Pisarski Yaffe '81 T >> Tc integral over instanton sizes Debye screening cut off from 1 loop thermal corrections

77 the QCD higher temperature Gross Pisarski Yaffe '81 T >> Tc integral over instanton sizes Debye screening cut off from 1 loop thermal corrections

78 the QCD higher temperature Gross Pisarski Yaffe '81 T >> Tc Bad convergence of thermal QCD good only above T~105 6 GeV!!

79 the QCD higher temperature Gross Pisarski Yaffe '81 T >> Tc Bad convergence of thermal QCD good only above T~105 6 GeV!! can we trust the instanton approx.?

80 the QCD axion from Lattice QCD 2+1 flavors with physical mq

81 the QCD axion from Lattice QCD 2+1 flavors with physical mq Temp. up to ~ 600 MeV (~ 4 Tc)

82 the QCD axion from Lattice QCD 2+1 flavors with physical mq Temp. up to ~ 600 MeV (~ 4 Tc) Importance of continuum limit T=0 a = fm a 1 ~ GeV

83 the QCD axion from Lattice QCD

84 the QCD axion from Lattice QCD ChPT GA DI

85 the QCD axion from Lattice QCD ChPT

86 the QCD axion from Lattice QCD ChPT

87 the QCD axion from Lattice QCD ChPT single cosine potential

88 More Lattice Results: Petreczky et al. [ ] Borsanyi et al. [ ]

89 More Lattice Results: Petreczky et al. [ ] Borsanyi et al. [ ]

90 More Lattice Results: Petreczky et al. [ ] Borsanyi et al. [ ]

91 the QCD axion: relic abundance

92 the QCD axion: relic abundance

93 the QCD axion: relic abundance Lattice

94 the QCD axion: relic abundance Lattice

95 ABRACADABRA the QCD axion: parameter space Lattice DIGA DIGA? QUAX Lattice

96 ABRACADABRA the QCD axion: parameter space Lattice DIGA DIGA? QUAX Lattice

97 Conclusions: Precision QCD axion physics: 1% 10% accuracy (room for improvement) High temperature: instantons unreliable first lattice computations available further studies required To Do: CP violating couplings relic abundance from topological defects?

98 Backup

99 Comparisons with Trunin et al. '15 freezing of topological charge Volume dependence

100 the QCD axion: NLO

101 the QCD axion: relic abundance

102 the QCD axion: relic abundance

103 the QCD axion: relic abundance

104 the QCD axion: relic abundance

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