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Searching for axions and ALPs from string theory . Particles beyond the Standard Model?!. Standard Model of P article Physics : Fundamental des- cription of known matter par- ticles and gauge forces. Particles beyond the Standard Model?!.
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Particlesbeyondthe Standard Model?! • Standard Model ofParticlePhysics: Fundamental des-criptionofknown matter par-ticlesandgaugeforces
Particlesbeyondthe Standard Model?! • Standard Model ofParticlePhysics: Fundamental des-criptionofknown matter par-ticlesandgaugeforces • Standard Model ofCosmolo-gy: onlyabout 5 % ofenergycontentofpresentuniverseconsistsofknownparticles
Particlesbeyondthe Standard Model?! • Standard Model ofParticlePhysics: Fundamental des-criptionofknown matter par-ticlesandgaugeforces • Standard Model ofCosmolo-gy: onlyabout 5 % ofenergycontentofpresentuniverseconsistsofknownparticles • Extensionsofthe Standard Model ofParticlePhysics: severalgoodmotivatedcan-didatesforconstituentsofdark matter • SUSY: Neutralino, Gravitino • Peccei Quinn: Axion
Peccei-Quinn extensionofthe Standard Model • Motivation: Explanation ofunnaturalsmallness, ,, ofCP-violatingtopologicalterm in QCDLagrangian, • Axionfield
Peccei-Quinn extensionofthe Standard Model • Motivation: Explanation ofunnaturalsmallness, ,, ofCP-violatingtopologicalterm in QCDLagrangian, • Axionfield • Axion: ultralightparticle, cf. Weinberg `78; Wilczek `78
Peccei-Quinn extensionofthe Standard Model • Motivation: Explanation ofunnaturalsmallness, ,, ofCP-violatingtopologicalterm in QCDLagrangian, • Axionfield • Axion: ultralightparticle, cf. Weinberg `78; Wilczek `78 • extremelyweakinteractionswith Standard Model particles
Peccei-Quinn extensionofthe Standard Model • Motivation: Explanation ofunnaturalsmallness, ,, ofCP-violatingtopologicalterm in QCDLagrangian, • Axionfield • Axion: ultralightparticle, cf. Weinberg `78; Wilczek `78 • extremelyweakinteractionswith Standard Model particles • Welcome sideeffect: • Axion: candidatefordark matter: created non-thermally via misa-lignmentmechanism in form ofcoherentoscillationsofaxionfield
Coexistence: SUSY and PQ extension in stringtheory • Particularlystronglymotivatedextensionsof Standard Model based on stringtheory: • Unificationof all forces • Quantum gravity
Coexistence: SUSY and PQ extension in stringtheory • Particularlystronglymotivatedextensionsof Standard Model based on stringtheory: • Unificationof all forces • Quantum gravity • Spectrumoflow-energyeffec-tivetheory in (3+1)-dimensionsissupersymmetricandpossiblycontainsseveralkindsofveryweaklyinteractingslimparticles (WISPs): Axion, ALPs (Axion-LikeParticles • ifthecompactspacecomprisedofthe 6 extra dimensionshascertaingeometricalandtopological proper-ties (Calabi-Yau; severalcycles)
Axions in stringtheory • String compactificationsgenericallycontain pseudo-scalarfieldswithaxioniccouplingtogaugefieldsandanomalous global shiftsymmetry • These axionandaxion-likeparticle (ALP) candidatesarise in stringcompactificationsas KK zeromodesofantisymmetrictensorfields: cf. Witten `84
Axions in IIB stringtheory • Concentrate on IIB case (moduli stabilisation best understood): Realisationof brane-world scenarios in string theory • KK reduction (expansion in harmonicforms): • Numberofaxionicfieldsdeterminedbyto-pologyof CY orientifold: numberoftopolo-gically non-equivalent 2-cycles or 4-cycles
Axions in IIB stringtheory • Numberofcyclesgenerically O(100):
Axions in IIB stringtheory • Cycles can be wrapped by space-time filling D-branes • Each of these branes gives rise to a gauge theory at low energy • Visible sector gauge theory realized by stacks of D7 branes wrapping small 4-cycles • Hidden sectors, in particular hidden photons, realized by branes wrapping cycles not intersecting visible sector branes
Axions in IIB stringtheory • Eachaxionicfieldcomesalongwith a real scalarfield– saxion– whichis real partoflowestcomponentofchiralsuperfield, • … Kähler modulusmeasuringthevolumeof 4-cycle • 4D EFT from KK reductionof D-braneaction • isgaugekineticfunctionfortheory on D7-brane: • volumemeasuresgaugecoupling, • hasaxioniccoupling,
Axions in IIB stringtheory • 4D effectivefieldtheory, cf. Jockers, Louis `05 • Decayconstantsandcouplingtogaugebosons via canonicalnormali-zationofaxionandgaugekinetictermsandmatchingto:
IIB axiverse • An axiverse - QCD axion plus possiblymanyultra-light ALPs whosemassspectrumislogarithmicallyhierarchical – maynaturallyarisefromstrings, cf. Arvanitaki et al. `09 • Challengestoobtain an axiverse: • Onlyaxionswhichare not projected out byorientifoldprojectionappear in LE EFT • Onlyaxionswhich do not gettoo heavy by Kähler modulistabilisationcanbecandidatesfor QCD axionandother light ALPs, cf. Conlon `06 • Onlyaxionswhichare not eatenbyStückelbergmechanismtogivemassestobrane-localizedanomalous U(1) gaugebosons will appear in LE EFT • Acharya, Bobkov, Kumar `11: Modulistabilisation via single non-pertur-bativecorrectionto superpotential (cf. Bobkov,Braun, Kumar, Raby `10) fixes all Kähler moduli plus oneaxioncombination: axiversewithand • Cicoli, Goodsell, AR, 1206.0819: Modulistabilisationofthe so-called LARGE Volume Scenario (LVS) whichexploitsbothperturbativeand non-perturbativeeffectsto fix Kähler moduligivesriseto an axiversewithand
LVS axiverse • Strategyto fix moduli in LVS: (cf. Cicoli, Mayrhofer, Valandro `11) • Exploit del Pezzofour-cyclesupportingsingle non-perturbativeeffect; dPmodulusfixedatsmallsize, dPsaxionandaxion heavy; interplaywithleadingorderalpha´ correctionyieldsexponentially large CY volume • Visible sectorwithchiralitybuiltbywrapping mag-netised D7-branes around rigid but not del Pezzofourcycles; D-term conditionsstabilise d combi-nationsof Kähler moduli, leaving . flat directions; latterfixedbypert. corrections • LVS requires : oneoftheremainingcyclesshouldbesmalltoobtaincorrectvalueof . , whilethereshouldbeat least onefurtherwhichcanbelarge; latterfixedat • More on this: talkbyMichele Cicoli
LVS axiverse • Massscalesfor : • Nocosmologicalmoduliproblemsincedilutedbyentropyproduction due todecayof . reheatinguniverseto O(GeV)
LVS axiverse • Scalingofaxiondecayconstantsandcouplings: • : QCD axionwith • : essentiallymassless ALP with , but nearlydecoupled,
LVS axiverse • Scalingofaxiondecayconstantsandcouplings: • : QCD axionwith • : essentiallymassless ALP with , but nearlydecoupled, • Possiblymoreultralight, , ALPs with
Axionand ALPs with intermediate scaledecayconstant? • Currentlimitsandpossiblehintsfromastrophysicsandcosmology:
Hintsforaxionor ALP effects in propagationofTeVphotonsthroughuniverse? • TeVphotonsofdistantActiveGa-lactic Nuclei (AGN) shouldfeatureabsorptionbreaks due toelectron-positron pairproduction on the Ex-tragalacticBackground Light (EBL)
Hintsforaxionor ALP effects in propagationofTeVphotonsthroughuniverse? • TeVphotonsofdistantActiveGa-lactic Nuclei (AGN) shouldfeatureabsorptionbreaks due toelectron-positron pairproduction on the Ex-tragalacticBackground Light (EBL) • Not thecase: (e.g. Horns, Meyer `12) • 50 spectra (HESS, MAGIC, Veritas), assumption: minimal EBL; absorptionruled out bymorethan 4 sigma
Hintsforaxionor ALP effects in propagationofTeVphotonsthroughuniverse? • TeVphotonsofdistantActiveGa-lactic Nuclei (AGN) shouldfeatureabsorptionbreaks due toelectron-positron pairproduction on the Ex-tragalacticBackground Light (EBL) • Not thecase: (e.g. Horns, Meyer `12) • 50 spectra (HESS, MAGIC, Veritas), assumption: minimal EBL; absorptionruled out bymorethan 4 sigma • Possibleexplanation: Photon <-> ALP conversion in astrophysicalmagneticfields(Roncadelli et al.,Sanchez-Conde et al.)
Hintsforaxionor ALP effects in propagationofTeVphotonsthroughuniverse? • TeVphotonsofdistantActiveGa-lactic Nuclei (AGN) shouldfeatureabsorptionbreaks due toelectron-positron pairproduction on the Ex-tragalacticBackground Light (EBL) • Not thecase: (e.g. Horns, Meyer `12) • 50 spectra (HESS, MAGIC, Veritas), assumption: minimal EBL; absorptionruled out bymorethan 4 sigma • Possibleexplanation: Photon <-> ALP conversion in astrophysicalmagneticfields(Roncadelli et al.,Sanchez-Conde et al.) • Hastobe an ALP: too light for a QCD axionwith such a decaycon-stant
Hintforaxion/ALP-production in whitedwarfs? • Non-standard energie-lossmechanism in whitedwarfs, cf. Isern et al. • Compatiblewithaxionor ALP production in electron-bremsstrahlung
Can weexplainthesehintswithin IIB axiverse? • Anomaloustransparencyofuniverseandanomalousenergylossofwhitedwarfscouldbeexplainedby • Model wherevisiblesectorbuildfromintersectingbranes in geometricregime • Yieldsrequiredvaluesfor • ALP masscouldbegeneratedbysingle Kähler potential instanton, e.g. requires • Astrophyicalhintscompatiblewith intermediate string-scalescenario
Laboratory probesofaxionand ALPs with intermediate scaledecayconstant?
Search for solar axionsand ALPs • Sun strong sourceofaxionsand ALPs • Helioscopesearchesforaxions/ALPs and HPs
Search for solar axionsand ALPs • Sun strong sourceofaxionsand ALPs • Helioscopesearchesforaxions/ALPs and HPs • CAST … CERN Axion Solar Telescope
Search for solar axionsand ALPs • Sun strong sourceofaxionsand ALPs • Helioscopesearchesforaxions/ALPs and HPs • CAST … CERN Axion Solar Telescope • IAXO … International Axion Observatory (underinvestigation)
Search for ALPs via light-shining-through-walls • ALPs can pass walls • Light-shining-through-walls experiments: (here ALPS (@DESY)):
Search for ALPs via light-shining-through-walls • ALPS: • HERA dipole (8.4 m, 5 T) • Primary laser: enhanced LIGO laser (1064 nm, 35 W) • Frequencydoubled: 523 nm • 300-fold power build-up in cavity
Search for ALPs via light-shining-through-walls • ALPS: • HERA dipole (8.4 m, 5 T) • Primary laser: enhanced LIGO laser (1064 nm, 35 W) • Frequencydoubled: 523 nm • 300-fold power build-up in cavity
Search for ALPs via light-shining-through-walls • ALPS: • HERA dipole (8.4 m, 5 T) • Primary laser: enhanced LIGO laser (1064 nm, 35 W) • Frequencydoubled: 523 nm • 300-fold power build-up in cavity • ALPS-II plans (2016+): • 12 + 12 HERA dipoles • Increased power build-up (~5000) • Cavity also on regenerationpart
Search for ALPs via light-shining-through-walls • ALPS: • HERA dipole (8.4 m, 5 T) • Primary laser: enhanced LIGO laser (1064 nm, 35 W) • Frequencydoubled: 523 nm • 300-fold power build-up in cavity • ALPS-II plans (2016+): • 12 + 12 HERA dipoles • Increased power build-up (~5000) • Cavity also on regenerationpart • Similarplans also atFermilab (REAPR)
Summary andconclusions • String phenomenologyholdsthepromiseof an axiverse – the QCD axion plus a (possibly large) numberoffurtherultralightaxion-like par-ticles, possiblypopulatingeachdecadeofmass down tothe Hubble scale • Promisefulfilled in LARGE Volume Scenario of IIB stringcompactifi-cations • Models thatexhibit a QCD axionwith an intermediate-scaledecayconstantand additional evenlighteraxion-likeparticleshavingthe same decayconstantandcouplingtothephotoncanexplainastrophysicalanomaliesandbetested in thenextgenerationofhelioscopesand light-shining-through-walls experiments • Cosmologyof LVS axiverse still tobeinvestigated in detail
Backup: More probesofultralightaxionsand ALPs cf. Arvanitaki, Dimopoulos, Dubovsky, Kaloper, March-Russell `09