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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