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Axionsand Stellar Physics

Maurizio Giannotti,Barry University (FL)

IAXO international meeting, April 18, 2016

Laboratori Nazionali di Frascati, Italy

G. Raffelt, “Stars as laboratories for fundamental physics” (1996)

Stars as Laboratories

G. Raffelt, “Stars as laboratories for fundamental physics” (1996)

Stars as Laboratories• Neutrino magnetic

moment (mn)

• Axion-electron coupling

(gae)

• HP

• Neutrino

magnetic

moment (mn)

• Axion-electron

coupling (gae)

• minicharged

fermions

• HP

• Extradimensions

• Axion-photon

coupling (gag)

• Axion-photon

coupling (gag)

Cooling Anomalies

Practically every stellar system seems to be cooling faster than predicted by the models.

Kepler et. al., (1991) + many others

Viaux et. al. (2013), Arceo-Daz et. al. (2015)

Ayala et. al. (2014), Straniero (proc. of XI Patras Workshop)

Shternin et. al. (2011)

Corsico et. al., (2014, 2015)

Bertolami (2014)

Corsico et. al., (2012)

[M.G., Irastorza, Redondo, Ringwald (2015)]

Light axions can be produced in stars through various mechanisms, e.g.

Primakoff conversion

Compton scattering/ bremsstrahlung

Nucleon Bremsstrahlung

The emission of axions could lead to an overly efficient energy drain, inconsistent with observations. This leads to bounds on the axioncouplings with photons, electrons and nuclei.

Axions and Stellar Evolution

ZeaZe g

aNNNN

g a

a

N

N

N

N

Relevant in He-burning stars

Relevant in RG and WD

Relevant in SN and neutron stars

aeAZAZ

eae

),(),(g

g

gag

gaN

)GeV10/

eV 07.070.5

12

a

af

mm

with a

a

af

Cg

g

g

2

a

aiiai

f

Cmg

ud

uda

mm

mm

N

EC

4

3

2 g

KSVZ and DSFZ axion couplings

- J.E. Kim (1979);- M. Shifman, A. Vainshtein, V.

Zakharov (1980);- A.R. Zhitnitskii (1980);

- M. Dine, W. Fischler, M. Srednicki (1980)

Most known example of QCD axion : DSVZ and KSVZ (hadronic) axions.

Mass and coupling have a peculiar dependence on the PQ constant.

)GeV10/

eV 07.070.5

12

a

af

mm

KSVZ DFSZ I DFSZ II

Caezero (at tree level) cos2b

3

sin2b

3

Cap-0.47 ± 0.03 -0.182(25) - 0.435 cos2b -0.182(25) + 0.435 cos2b

Can-0.02 ± 0.03 -0.160(25) + 0.414 cos2b -0.160(25) + 0.414 cos2b

Cag

𝐸

𝑁− 1.92(4)

8

3− 1.92(4)

2

3− 1.92(4)

with a

a

af

Cg

g

g

2

a

aiiai

f

Cmg

ud

uda

mm

mm

N

EC

4

3

2 g

“The QCD axion Precisely”

G. G. di Cortona, E.Hardy, J.P.Vega, G.Villadoro, JHEP 1601 (2016) 034

New results from recent NLO chiral perturbation theory and lattice

)GeV10/

eV 07.070.5

12

a

af

mm

with a

a

af

Cg

g

g

2

a

aiiai

f

Cmg

ud

uda

mm

mm

N

EC

4

3

2 g

KSVZ and DSFZ axion couplings

G. G. di Cortona, E.Hardy, J.P.Vega,

G.Villadoro, JHEP 1601 (2016) 034

KSVZ DFSZ I DFSZ II

Caezero (at tree level) cos2b

3

sin2b

3

Cap-0.47 ± 0.03 -0.182(25) - 0.435 cos2b -0.182(25) + 0.435 cos2b

Can-0.02 ± 0.03 -0.160(25) + 0.414 cos2b -0.160(25) + 0.414 cos2b

Cag

𝐸

𝑁− 1.92(4)

8

3− 1.92(4)

2

3− 1.92(4)

KSVZ axionsJ.Redondo (talk at the Axion Forum, Bonn, march 2016)

Cortona et. al. JHEP 1601 (2016) 034

White Dwarf Variables

Luminosity changes periodically with a slowly increasing period.

𝑃/𝑃 is practically proportional to the cooling rate 𝑇/𝑇

Axion: 𝑇/𝑇 𝑃/𝑃

TESTs axion-electron coupling

g

a

gaee

e

Ze Ze

axion-electronBremsstrahlung

White Dwarf Variables

Corsico et. al., JCAP 1212 (2012). Corsico et. al., Mon. Not. R. Astron. Soc. 424, 2792–2799 (2012)

Battich et. al., proceeding of the Argentinian Annual Meeting of Astronomy (2016)

R548G117-B15A PG 1351+489

Observations:

13105.5 aeg 13100.6 aeg13102.3 aegBounds:

White Dwarf Variables

Corsico et. al., JCAP 1212 (2012). Corsico et. al., Mon. Not. R. Astron. Soc. 424, 2792–2799 (2012)

Battich et. al., proceeding of the Argentinian Annual Meeting of Astronomy (2016)

13104.85 aeg 131078.4 aeg131013.2 aeg

R548G117-B15A

Observations:

13105.5 aeg 13100.6 aeg13102.3 aeg

Hints:

Bounds:

PG 1351+489

White Dwarf Variables

Corsico et. al., JCAP 1212 (2012). Corsico et. al., Mon. Not. R. Astron. Soc. 424, 2792–2799 (2012)

Battich et. al., proceeding of the Argentinian Annual Meeting of Astronomy (2016)

13104.85 aeg 131078.4 aeg131013.2 aeg

R548G117-B15A PG 1351+489

Observations:

13105.5 aeg 13100.6 aeg13102.3 aeg

Hints:

Bounds

WD G117 - B15A

) 262

26 104/ aeg

R548

PG 1351+489

White Dwarfs Luminosity Function

White Dwarfs Luminosity Function:

) 75.4/log5.2Bol LLM

Bertolami, Melendez, Althaus,Isernd, JCAP 1410 (2014)

Axion bound:

x

WD

LLLdLdV

dN

ng

1

Lx= anomalous cooling, e.g. axions

M. Bertolami et. al. (2014)

13104.2 aeg

White Dwarfs Luminosity Function

White Dwarfs Luminosity Function:

) 75.4/log5.2Bol LLM

13104.1 aeg

Axion bound:

Axion Hint:

x

WD

LLLdLdV

dN

ng

1

Lx= anomalous cooling, e.g. axions

Bertolami, Melendez, Althaus,Isernd, JCAP 1410 (2014)

M. Bertolami et. al. (2014)

13104.2 aeg

13104.2 aegAxion bound:

Axion Hint:

White Dwarfs Luminosity Function

White Dwarfs Luminosity Function:

) 75.4/log5.2Bol LLM

) dtdLLddLdV

dN

xst

WD

/

1

WD G117 - B15A

) 262

26 104/ aeg

R548

PG 1351+489

WDLF

Bertolami, Melendez, Althaus,Isernd, JCAP 1410 (2014)

M. Bertolami et. al. (2014)

13104.1 aeg

White Dwarfs Luminosity Function The WDLF offers a unique way to test the functional dependence of the

additional cooling rather than just its amplitude.

The addition of axions coupled to electrons showed improvement of the fits.

The addition of an anomalous neutrino magnetic moment showed no improvement.

) 75.4/log5.2Bol LLM

Hot;n cooling becomes important. Nonlinear behavior. Large uncertainties

Cold. n cooling unimportant. Linear behavior (Mestel Law). Small uncertainties

M. Bertolami et. al. (2014)

White Dwarfs Luminosity Function

Figure reproduced using data from Bertolami (2014)

Theoretical WDLF (Bertolami 2014)

) 75.4/log5.2Bol LLM

The WDLF is expected to be approximately linear in the range between 8<Mbol<14

White Dwarfs Luminosity Function

The WDLF is expected to be approximately linear in the range between 8<Mbol<14

Figure reproduced using data from Bertolami (2014)

Theoretical WDLF (Bertolami 2014)

gg 7TLCL

Linear approximation

) 75.4/log5.2Bol LLM

WDLF and new physics

Consider the linear approximation before and add theoretical errors large enough to account for the difference between the actual theoretical prediction;

Several new physics models, including axions/ALPs, predict an additional energy loss of the form

n

xx TCL 7

This form gives testable predictions for

exp

obsexp

N

NN

WDLF and new physics

Consider the linear approximation before and add theoretical errors large enough to account for the difference between the actual theoretical prediction;

Several new physics models, including axions/ALPs, predict an additional energy loss of the form

n

xx TCL 7

This form gives testable predictions for

exp

obsexp

N

NN

The results (1 to 4s) are shown to the side

[M.G., Irastorza, Redondo, Ringwald (2015)]

1s2

3

4

RG CoolingA particularly useful observable in the CMD is the brightness of the tip of the RG branch.

Additional cooling would give rise to a brighter RGB tip.

1310)3.4( 6.2 aeg

Axion

Strong axion bound on the axion-electron coupling:

at 1 (2) s

[Viaux et. al., Phys.Rev.Lett. 111 (2013)]

g

a

gaee

e

Ze Ze

axion-electronBremsstrahlung

RG CoolingA particularly useful observable in the CMD is the brightness of the tip of the RG branch.

Viaux et. al. Astron.Astrophys. 558 (2013) A12Color-magnitude diagram of M5. Left: Original. Right: After field star decontamination.

Additional cooling would give rise to a brighter RGB tip.

Recent papers showed a tip slightly more luminous than expected

M5: (analysis of gae and mn) Viaux et. al., Phys.Rev.Lett. 111 (2013);Viaux et. al. Astron.Astrophys. 558 (2013) A12; for M5

w-Centauri: (analysis of mn)Arceo-Daz et. al. (2015)

RG CoolingA particularly useful observable in the CMD is the brightness of the tip of the RG branch.

Viaux et. al. Astron.Astrophys. 558 (2013) A12Color-magnitude diagram of M5. Left: Original. Right: After field star decontamination.

1320.1

18.1 1088.1

aegHint:

Viaux et. al., Phys.Rev.Lett. 111 (2013)

Additional cooling would give rise to a brighter RGB tip.

Recent papers showed a tip slightly more luminous than expected

Putting all together

WD G117 - B15A

) 262

26 104/ aeg

R548

PG 1351+489

RGB –Tip (M5)

WDLF

Hints on the axion- electron coupling

Putting all together

WD G117 - B15A

) 262

26 104/ aeg

R548

PG 1351+489

RGB –Tip (M5)

WDLF

Hints on the axion- electron coupling

Global Analysis of the cooling hints

[M.G., Irastorza, Redondo, Ringwald (2015)]

HB (R-parameter)

The R-parameter:

R=NHB/NRG

compares the number of stars in the HB (NHB) and in the upper portion of the RGB (NRG).

Straniero (proc. of XI PatrasWorkshop)

<R>=1.39±0.03

HB (R-parameter)

The R-parameter:

R=NHB/NRG

compares the number of stars in the HB (NHB) and in the upper portion of the RGB (NRG).

- Ayala, Dominguez, M.G., Mirizzi, Straniero (PRL 113 (2014) )- Straniero (proc. of XI PatrasWorkshop);- Straniero, Ayala, M.G., Mirizzi, Dominguez (in preparation)

g

gag

Ze Ze

g

a

Primakoff

HB (R-parameter)

The R-parameter:

R=NHB/NRG

compares the number of stars in the HB (NHB) and in the upper portion of the RGB (NRG).

A recent analysis using the 39 GC from Salaris et. al. gave

- Ayala, Dominguez, M.G., Mirizzi, Straniero (PRL 113 (2014) )- Straniero (proc. of XI PatrasWorkshop);- Straniero, Ayala, M.G., Mirizzi, Dominguez (in preparation)

-110GeV1065.0 gag 95% C.L.

) -110GeV1018.029.0 gag 68% C.L.

and the upper bound on the axion-photon coupling

HB (R-parameter)

The R-parameter:

R=NHB/NRG

compares the number of stars in the HB (NHB) and in the upper portion of the RGB (NRG).

A recent analysis using the 39 GC from Salaris et. al. gave

- Ayala, Dominguez, M.G., Mirizzi, Straniero (PRL 113 (2014) )- Straniero (proc. of XI PatrasWorkshop);- Straniero, Ayala, M.G., Mirizzi, Dominguez (in preparation)

-110GeV1065.0 gag 95% C.L.

) -110GeV1018.029.0 gag 68% C.L.

and the upper bound on the axion-photon coupling

The apparent need for additional cooling may be a consequence of an incomplete understanding of the 12𝐶 𝛼, 𝛽 16𝑂 reaction rate. This reaction is among the main scientific cases of LUNA MV, a new nuclear astrophysics facility under construction at the Gran Sassounderground laboratory of INFN (LNGS). [Straniero (proc. of XI Patras Workshop)]

R=NHB/NRG

R-parameter: a new look

g

gag

Ze Ze

g

a

g

a

gaee

e

Ze ZeRGB: Very dense. Sensitive to gae

HB: Not very dense. Sensitive to gag M.G., Irastorza, Redondo,

Ringwald (2015)

Straniero, Mirizzi, M.G., in preparation

Very dense. Sensitive to gae

Not very dense. Sensitive to gag

R=NHB/NRG

The R-parameter may be modified also by processes efficient in the RGB stage, particularly by the axion bremsstrahlung process:

where

)

4

10213

26

aeg

and

R-parameter: a new look

R=NHB/NRG

The R-parameter is a function of both gae and gag.

Therefore, the hint could be explained by a combination of these couplings or even only by gae

) 4/102132

26 aeg

R-parameter: a new look

M.G., Irastorza, Redondo, Ringwald (2015)

1s

2s

best fit

ALP parameters region

Combined(1s)

WDLF

RGB tip (M5)

R-parameter

1310aeg

g ag×1

01

0 G

eV

M.G., Irastorza, Redondo, Ringwald, In preparation

best fit: , -110GeV1013.0 gag13105.1 aeg

IAXO

ALPS-IIc

CAST

WD+RG

) 4/102132

26 aeg

g ag[G

eV

-1]

combined (1s)

ALPS IIIAXO

ALP best fit

CAST

ALP parameters region

ALPS IIIAXO

ALP best fit

CAST

ALP parameters region

ALP best fit (1s)

Axion parameters regionM.G., Irastorza, Redondo, Ringwald, In preparation

best fit corresponds to:

a

a

af

Cg

g

g

2

a

aeeae

f

Cmg

2106.2 ga

ae

C

C

DSVZ 1:

92.13

8gaC

b2cos3

1aeC

06.0cos2 b

GeV 107.6 7af

Combined(1s)

WDLF

RGB tip (M5)

R-parameter

1310aeg

g ag×1

01

0 G

eV

M.G., Irastorza, Redondo, Ringwald, In preparation

best fit corresponds to:

a

a

af

Cg

g

g

2

a

aeeae

f

Cmg

2106.2 ga

ae

C

C

DSVZ 2:

92.13

2gaC

b2sin3

1aeC

9.0cos2 b

GeV 101.1 8af

Axion parameters region

Combined(1s)

WDLF

RGB tip (M5)

R-parameter

1310aeg

g ag×1

01

0 G

eV

M.G., Irastorza, Redondo, Ringwald, In preparation

best fit corresponds to:

a

a

af

Cg

g

g

2

a

aeeae

f

Cmg

2106.2 ga

ae

C

C

KSVZ: coupling to

electrons naturally small

9.1N

E

GeV 104.1 6afg

gag

e e

g

a

Axion parameters region

Combined(1s)

WDLF

RGB tip (M5)

R-parameter

1310aeg

g ag×1

01

0 G

eV

M.G., Irastorza, Redondo, Ringwald, In preparation

best fit corresponds to:

a

a

af

Cg

g

g

2

a

aeeae

f

Cmg

2106.2 ga

ae

C

C

KSVZ: coupling to

electrons naturally small

0N

E

) GeV 1064.44.1 8afg

gag

e e

g

a

Axion parameters region

Combined(1s)

WDLF

RGB tip (M5)

R-parameter

1310aeg

g ag×1

01

0 G

eV

forcing

ALPS IIIAXO

ALP best fit

CAST

DFSZ 1

DFSZ 2

KSVZ (E/N=0)

Axion parameters region

Axion-Nucleons Couplings

Measured surface temperature over 10 years of the NS in Cas Areveals unusually fast cooling rate.

The thermal energy losses are approximately twice more intensive than it can be explained by the neutrino emission.[Shternin et. al., Mon. Not. R. Astron. Soc. 412 (2011)]

-10108.3 ang

Leinson, JCAP 1408 (2014)

could be explained by introducing an ALP coupled to nucleons[Leinson, JCAP 1408 (2014)]

The effect could have a different origin, for example as a phase transition of the neutron condensate into a multicomponent state [Leinson, Phys. Lett. B 741, (2015)]Leinson, JCAP 1408 (2014)

a

gaNN

N

N N

Axion-Nucleons Couplings

-10108.3 ang

Supernova 1987A

See Alessandro Mirizzi’s talkEnormous amount of neutrinos expected from core collapse SN.

If weakly coupled, axions escape from the core without interactions.

Neutrino events observed from SN1987 A restrict how much energy can be lost in ALPs.

a

gaN

NN

N N

10109 apgPDG bound: This is compatible with the NS hint.

However, not a very solid bound: very few data and the interaction is difficult to model.

ALPS IIIAXO

CAST

DFSZ 1 (cos2b=0)

DFSZ 1 (cos2b=0.4)

KSVZ

Supernova 1987AEstimates on the axion bounds from SN 1987 A

ALP best fit

DFSZ 1

DFSZ 2

KSVZ (E/N=0)

ALPS IIIAXO

CAST

KSVZ (E/N=6)

ALP best fit

SN bound (KSVZ)

Supernova 1987AEstimates on the axion bounds from SN 1987 A

ALPS IIIAXO

CAST

ALP best fit

DFSZ -1s

including NS and SN

The fit for the DFSZ axion is good.

SN 1987A and NS in Cas A

GeV 105.2 8af

best fit:

1...

2

fod

IAXO and

D. Wouters & P.B., JCAP 2014

Cooling hints

This region is completely accessible to IAXO

Astrophysical hints (including the transparency hints) can be explained by an ALP with

A. Ringwald, Karlsruhe colloquium, 2014

A. Ringwald, XVI International Workshop on Neutrino Telescopes, 2015

28 10,1,GeV10 anaeaa CCCf gμeV1.0amand

Cooling anomalies and new physics

[M.G., Irastorza, Redondo, Ringwald (2015)]

n

xx TCL 7

linear section of WDLF1s

23

4

Analysis of the linear portion of the WDLF reveals preference for ALPs and HP while strongly rejects anomalous neutrino electromagnetic factors.

Neutrino anomalous magnetic moment

Cooling anomalies and new physics

[M.G., Irastorza, Redondo, Ringwald (2015)]

Massive HP can explain the WDLF and other hints but not all of them simultaneously.

Leaves only ALPs and massless HP. ALPs are slightly preferred since can cool HB stars

WDLF

Conclusions

Stars are excellent tools to study the properties of light, weakly interacting particles, particularly axions.

Several anomalies seem to indicate the need for additional cooling and require further investigation.

ALPs (together with massless HPs) are the best candidate among WISPs. Astrophysical hints (including the transparency hints) can be explained by an ALP with

The ALP hinted region is accessible to IAXO and partially to APS II.

The KSVZ and DFSZ may be harder to probe.

28 10,1,GeV10 anaeaa CCCf gμeV1.0amand

What to do next

The hints are not very strong and the uncertainties are still not well known.

1. Investigate stellar cooling, systematics and uncertainties, and see if the cooling anomalies are actually a hint to new physics

2. Build IAXO.

Additional material

Discussion

D. Wouters & P.B., JCAP 2014

Cooling hints

This region is completely accessible to IAXO

Astrophysical hints (including the transparency hints) can be explained by an ALP with

A. Ringwald, Karlsruhe colloquium, 2014

A. Ringwald, XVI International Workshop on Neutrino Telescopes, 2015

28 10,1,GeV10 anaeaa CCCf gμeV1.0amand

Observable Comments USE

Sun Best known star. • Low mass HP

• Minicharges

RGB-tip

Sensitive to processes efficient at high densities.

• Neutrino

magnetic

moment (mn)

• Axion-electron

coupling (gae)

• Massive HP

WD pulsation

WDLF

AGB (?)“very bright and so their photometric and spectroscopic properties are well known” [I. Dominguez, O. Straniero, J. Isern

(1999)]. So far not used often for particle physics

R-parameter

R=NHB/NRGB

can probe processes efficient at low density and high

temperature.

• gae, mn

• Fermion

minicharges

• Axion-photon

coupling (gag)Blue loop

Not very numerous. Have a blue loop which is observable.

The microphysics is difficult to model

SN progenitorCan be probed from SN light curves, SN remnant,

nucleosynthesis… [Heger et. al. 2008; Aoyama & Suzuki, 2015)]• mn , gae , gag

SNUnique environment but rare. Probes interactions with

nuclei (See A. Mirizzi Talk later today)• Couplings to

nuclei

• Extra dim.NS cooling Colder than SN but hotter and denser than standard stars

Stars as Laboratories

KSVZ and DSFZ axionsMost known example of QCD axion : DSVZ and KSVZ (hadronic) axions

- J.E. Kim (1979);- M. Shifman, A. Vainshtein, V. Zakharov (1980);- A.R. Zhitnitskii (1980);- M. Dine, W. Fischler, M. Srednicki

Mass and coupling have a peculiar dependence on the PQ constant. New results from recent NLO chiral perturbation theory and lattice

G. G. di Cortona, E.Hardy, J.P.Vega, G.Villadoro, JHEP 1601 (2016) 034

Observable Upper bound observable

Axion-electron coupling

gae2.6 (4.3) × 10-13 at 1 (2) s

RGB tip in M5 [Viaux et. al. (2013)]

Axion e-bremsstrahlung →

additional cooling →brighter tip

Axion-photon coupling

gag

0.66 × 10-10 GeV-1 at 2 s

R-parameter =NHB/NRGB from

analysis of 39 GC [Ayala et. al.

(2014), Straniero, proceedings of the

2015 Patras Workshop]

Axion Primakoff production

accelerate HB evolution. Also, e-

bremsstrahlung modifies RGB

evolution [Giannotti et. al.

(2016)]

Axion-nucleon coupling

gaN~ 9 × 10-10 See A Mirizzi’s talk later

Stars bounds on axions

Discussion

Some particularly interesting areas can be identified in the ALP parameter space

Interesting area from analysis of HB and massive stars

ALPS II and especially IAXO have potential to explore large portions of these areas

Stars as Laboratories