THE HUNT FOR NEUTRINO HIERARCHY
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1 THE HUNT FOR NEUTRINO HIERARCHY Martina Gerbino OKC&NORDITA, Stockholm University Neutrino Oscillation Workshop 2016, Otranto 6 Sep 2016 based on Gerbino,Lattanzi,Mena,Freese,in prep
2 Roadmap The characters: neutrinos in cosmology A method to quantify cosmological sensitivity to the hierarchy Results from current and forecasted data Conclusion
3 Martina Gerbino, COSMO-16 Massive neutrinos alter background and perturbation evolution Linear regime ends roughly here { 3 H{+1L C { 9 mk 2 D Sm n = 0.06 ev Sm n = 0.2 ev Sm n = 0.4 ev Sm n = 0.6 ev Sm n = 0.8 ev WMAP9 data end here { credits: M.Lattanzi Abazaijan+, active families, sub-ev masses Relativistic at early times, non-relativistic today (Almost) peculiar effects on cosmological observables
4 Where are we? Present M nu <0.46eV (Planck TT,TE,EE+lowP) M nu <0.17eV (Planck TT,TE,EE+lowP+BAO) (see e.g. Planck collaboration XIII) M nu <0.13eV (Planck TT,TE,EE+lowP+BAO+ matter power shape) (see e.g. Cuesta et al, 2015) M nu <0.12eV (Planck TT,TE,EE+lowP+Lya) (see e.g. Palanque-Delabrouille et al, 2015) Future sigma(m nu )~0.02eV (COrE,Stage4,DESI,Euclid, )
5 Where are we? Questions: Present M nu <0.46eV (Planck TT,TE,EE+lowP) Will we be able to measure M nu <0.17eV (Planck TT,TE,EE+lowP+BAO) Mnu? M nu <0.13eV (Planck TT,TE,EE+lowP+BAO+ Will matter we power be shape) able to M nu <0.12eV (Planck TT,TE,EE+lowP+Lya) discriminate the hierarchy? Can we Future provide a statistically robust answer? sigma(m nu )~0.02eV (COrE,Stage4,DESI,Euclid, )
6 The standard method M nu (+other cosmological parameters) Degenerate spectrum: m,i = M /3, i=1, 2, 3 0.1eV Different authors obtain upper bounds from current data approaching the critical value of 0.1 ev. These results suggest that IH starts to get under pressure from cosmology. [ ] Such a claim should be based on a proper statistical analysis. The question to be answered is, whether the hypothesis of IH can be rejected with some confidence against NH. (Hannestad&Schwetz,2016)
7 The proposed method Mnu + other cosmological parameters + h Hyper-parameter h flat in [0,1] h<0.5 h>0.5 NORMAL HIERARCHY m,1 = m light q m,2 = m m2 12 q m,3 = m m2 13 Advantages: INVERTED HIERARCHY m,3 = m light q m,1 = m m2 13 q m,2 = m m2 12 neutrinos modelled with exact mass spectrum information from oscillations taken into account quantifies sensitivity to the hierarchy takes into account uncertainties related to the hierarchy
8 Sensitivity to the hierarchy: current data Preliminary P/Pmax TT+lowP TT+lowP+BAO TT,TE,EE+lowP TT,TE,EE+lowP+BAO h type Mild preference for NORMAL HIERARCHY (~5:3) CMB only mildly sensitive (with polarisation) Sensitivity increases when BAO are added
9 Constraints on Mnu: current data TT+lowP TT+lowP+BAO TT,TE,EE+lowP TT,TE,EE+lowP+BAO Preliminary P/Pmax M min M min M min M min M min =0.059 ev apple M apple ev apple M apple ev apple M apple ev apple M apple ev M [ev] 95%, Planck TT+lowP 95%, Planck TT+lowP+BAO 95%, Planck TT,TE,EE+lowP 95%, Planck TT,TE,EE+lowP+BAO
10 Sensitivity to the hierarchy: forecasts Preliminary M fid =0.1 ev P/Pmax COrE,M fid = 0.06 ev COrE+BAO,M fid COrE,M fid = 0.1 ev COrE+BA=,M fid = 0.06 ev = 0.1 ev h type M fid =0.06 ev If Mnu is minimal, 10:1 odds for NH!!! If Mnu=0.1eV, cosmology almost insensitive
11 Constraints on Mnu: forecasts COrE,M fid = 0.06 ev COrE+BAO,M fid COrE,M fid = 0.1 ev COrE+BA=,M fid = 0.06 ev = 0.1 ev Preliminary P/Pmax M [ev] M min apple M apple ev M = ev 95%, COrE+BAO, minimal mass 95%, COrE+BAO, 0.1eV fiducial
12 Implications for 0n2b: present KamLAND-Zen, pessimistic Preliminary m KamLAND-Zen, optimistic Cosmology+ oscillations only M 0n2b searches almost competitive cosmology (provided nuclear modelling under control)
13 Implications for 0n2b: forecasts Cosmology+oscillations only Preliminary m KamLAND-Zen H90%L M fid =0.1 ev nexo 10yr wê Ba tag H90%L m KamLAND-Zen H90%L M fid = 0.06 ev nexo 10yr wê Ba tag H90%L M M If Mnu=0.1eV, sigma(mbb)~10mev could guarantee 0n2b measurement If Mnu minimal, hard times
14 CONCLUSIONS Tight bounds on neutrino mass from cosmology Inverted hierarchy in trouble: how much? By introducing an hyper-parameter we can: 1) easily account for exact neutrino mass spectra; 2) quantify sensitivity to the hierarchy; 3) take into account uncertainty due to imperfect knowledge of the hierarchy NH favoured 5:3 by current data NH favoured 10:1 by future measurements, if the mass is minimal
SENSITIVITY OF COSMOLOGICAL DATA TO THE NEUTRINO MASS HIERARCHY
SENSITIVITY OF COSMOLOGICAL DATA TO THE NEUTRINO MASS HIERARCHY Martina Gerbino Oskar Klein Centre for Cosmoparticle Physics Stockholm University TeVPA 2017, Columbus - OH 9 Aug 2017 based on Gerbino,Lattanzi,Mena,Freese,2017
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