Neutrinoless Double Beta Decay Beyond the “Lobster” Plot and Its Connection to Cosmology
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Neutrinoless double beta decay beyond the “lobster” plot and its connection to cosmology Julia Harz ACFI Snowmass Workshop 2020 Neutrinos – what do we know? Illustration by Sandbox Studio, Chicago “Neutrinos, the Standard Model misfits” Julia Harz BSM theory overview of neutrinoless double beta decay 2 Neutrinos – what do we know? ● Neutrinos in the Standard Model are massless ● Neutrino mixing ● Neutrino oscillations require massive neutrinos ● Normal vs. inverted hierarchy How do neutrinos get their masses? What nature do neutrinos have? Are they their own anti-particles? Julia Harz BSM theory overview of neutrinoless double beta decay 3 Why Lepton-Number Violation? ● Masses of the active neutrinos cannot be explained within the SM ● BUT right-handed neutrinos could help Dirac mass Majorana mass 1/2 -1/2 0 0 0 hypercharge -1/2 1/2 ● tiny Yukawa couplings 1/21/2 -1/2 1/2 not at tree-level within the SM possible ● Lepton number no accidental symmetry anymore ● higher dimensional operator ● Lepton number violation (LNV) Julia Harz BSM theory overview of neutrinoless double beta decay 4 Lepton-Number Violation ● LNV occurs only at odd mass dimension: 3/2 3/2 1 1 mass dimension Babu, Leung (2001), de Gouvea, Jenkins (2007), Deppisch, Graf, JH, Huang (2017) Julia Harz BSM theory overview of neutrinoless double beta decay 5 Radiative neutrino mass generation ● LNV occurs only at odd mass dimension: Deppisch, Graf, JH, Huang (2017) Julia Harz BSM theory overview of neutrinoless double beta decay 6 Probing LNV interactions – 0vββ decay Neutrinoless double beta decay Most stringent limits are currently set by GERDA and Kamland-Zen: u u d d nuclear matrix element d d particle physics u u phase space factor standard mass mechanism long range contribution short range contribution ? = 0vββ decay probes only first generation! Julia Harz BSM theory overview of neutrinoless double beta decay 7 Schechter-Valle Theorem – Black Box Theorem Schechter, Valle (1982) Any ΔL = 2 operator that leads to 0vbb will induce a Majorana mass contribution via loop Dürr, Merle, Lindner (2011) 9-dim ΔL = 2 operator will lead to 0vbb but only tiny contribution to neutrino mass Observation of 0vββ decay does not imply that the mass mechanism is the dominant contribution. Julia Harz BSM theory overview of neutrinoless double beta decay 8 Constraining LNV interactions long range contribution standard mass mechanism ? ? = = Leptonic and hadronic current with different chirality structure: Deppisch, Hirsch, Päs (2012) Julia Harz BSM theory overview of neutrinoless double beta decay 9 Scales of New Physics 1st generation couplings 7-dim Non-standard 9-dim mechanism 11-dim effective coupling can be related to the scale of the operator only mass mechanism Deppisch, Graf, JH, Huang (2017) Deppisch, JH, Huang, Hirsch, Päs (2015) Julia Harz BSM theory overview of neutrinoless double beta decay 10 Scales of New Physics 3rd generation couplings only mass mechanism 7-dim 9-dim non-standard mechanism 11-dim Deppisch, Graf, JH, Huang (2017) Deppisch, JH, Huang, Hirsch, Päs (2015) Julia Harz BSM theory overview of neutrinoless double beta decay 11 Uncertainties of Nuclear Matrix Elements nuclear physics ● Dependence on isotope and specific operator ● Differences between different nuclear models ● “the gA problem” quenching of the axial-vector coupling? e.g. Suhonen et al., Engel et al., and many more Engel, Menendez (2016) Julia Harz BSM theory overview of neutrinoless double beta decay 12 Topologies for Neutrinoless Double Beta Decay Bonnet, Hirsch, Ota, Winter (2014) Julia Harz BSM theory overview of neutrinoless double beta decay 13 Neutrinoless Double Beta Decay at the LHC Example: Left-Right Symmetric Model Helo, Kovalenko, Hirsch, Päs (2013) Julia Harz BSM theory overview of neutrinoless double beta decay 14 Neutrinoless Double Beta Decay at the LHC Different possible contributions to 0vbb: Corresponding process at LHC: Helo, Kovalenko, Hirsch, Päs (2013) Julia Harz BSM theory overview of neutrinoless double beta decay 15 Neutrinoless Double Beta Decay at the LHC Different possible contributions to 0vbb: Corresponding process at LHC: Helo, Kovalenko, Hirsch, Päs (2013) Julia Harz BSM theory overview of neutrinoless double beta decay 16 Neutrinoless Double Beta Decay at the LHC Refined study of one model: Including: ● SM + detector background ● running of the operators ● long distance contributions Peng, Ramsey-Musolf, Winslow (2015) Julia Harz BSM theory overview of neutrinoless double beta decay 17 QCD corrections and running Leading order QCD corrections to the complete set of the short-range d = 9 0νββ-operators covering the low-energy limits of any possible underlying high-energy scale model e.g. Gonzalez, Hirsch, Kovalenko (2015) Julia Harz BSM theory overview of neutrinoless double beta decay 18 QCD corrections and running ● QCD corrections can give sizeable impact to short range contribution Gonzalez, Hirsch, Kovalenko (2015) ● QCD corrections sub-dominant for long range contribution (less than 60%) Arbelaez, Gonzalez, Hirsch, Kovalenko (2016) ● Extrapolation of perturbative results to sub-GeV non-perturbative scales on the basis of QCD coupling constant “freezing” behavior using Background Perturbation Theory → only moderate dependence Gonzalez, Hirsch, Kovalenko (2018) Julia Harz BSM theory overview of neutrinoless double beta decay 19 “Master formula” Cirigliano, Dekens, de Vries, Graesser, Mereghetti (2017, 2018) Graf, Deppisch, Iachello, Kotila (2018) Julia Harz BSM theory overview of neutrinoless double beta decay 20 “Master formula” Cirigliano, Dekens, de Vries, Graesser, Mereghetti (2017, 2018) Graf, Deppisch, Iachello, Kotila (2018) Julia Harz BSM theory overview of neutrinoless double beta decay 21 A new leading contribution to 0vββ Cirigliano, Dekens, de Vries, Graesser, Mereghetti, Pastore, van Kolck (2018) Julia Harz BSM theory overview of neutrinoless double beta decay 22 Implications on Leptogenesis ● generation of lepton asymmetry via heavy neutrino decays ● competition with lepton number violating (LNV) washout processes ● conversion to baryon asymmetry via sphaleron processes Fukugita et al. 1986 source of CP violation L H L L H N N N N N sphaleron processes H H L L H N Q N L L L L H L H H N H N washout N u Q L u H H H processesL L H scattering processes washout processes Julia Harz BSM theory overview of neutrinoless double beta decay 23 Implications on Leptogenesis The generation of a baryon asymmetry – baryogenesis – can be created by a lepton asymmetry – leptogenesis: baryon asymmetry SM processes Possible tight link to neutrino physics lepton asymmetry lepton lepton Possibly asymmetry asymmetry at high generation washout scales (CPV and LNV) (LNV) In turn, lepton number violation (LNV) can destroy a lepton asymmetry, and thus even a baryon asymmetry! Julia Harz BSM theory overview of neutrinoless double beta decay 24 Lepton Asymmetry Washout ● LNV operator would cause washout of pre-existing net lepton asymmetry in the early Universe operator specific factor ● washout efficient if lepton density If 0vßß is observed, washout efficient in the temperature interval Julia Harz BSM theory overview of neutrinoless double beta decay 25 0vββ and Baryogenesis limit above which the washout is highly effective Potential to falsify baryogenesis models! Deppisch, Graf, JH, Huang (2018) Deppisch, JH, Huang, Hirsch, Päs (2015) Julia Harz BSM theory overview of neutrinoless double beta decay 26 Lepton asymmetry washout 1st generation couplings 7-dim 9-dim 11-dim Deppisch, Graf, JH, Huang (2017) Deppisch, JH, Huang, Hirsch, Päs (2015) Julia Harz BSM theory overview of neutrinoless double beta decay 27 Distinguishing different operators Dell’Oro, Marcocci, Viel, Vissani (2016) ● discrepancy between sum of neutrino masses from cosmology and 0vββ half life measurements could indicate non-standard mechanism ● Angular distributions allows to discriminate O7 - + from others, due to e R and e L in the final state Ali, Borisov, Zhuridov (2006), SuperNemo, Arnold et al. (2010) Julia Harz BSM theory overview of neutrinoless double beta decay 28 Distinguishing different operators ● distinguishing between different mechanisms via measurements in different isotopes Deppisch, Päs (2006) Gehmann, Elliot (2007) ● observation of 0vββ via O9 and O11 will imply observation of LNV at LHC Julia Harz BSM theory overview of neutrinoless double beta decay 29 Probing LNV interactions – LHC Washout processes could be observable at the LHC LNV Observation of any washout process at LHC would falsify high scale baryogenesis! (scale of asymmetry generation above M ) Deppisch, JH, Hirsch, Phys. Rev. Lett. (2014) X Deppisch, JH, Hirsch, Päs, Int. J. Mod. Phys. A (2015) Julia Harz BSM theory overview of neutrinoless double beta decay 30 Combining LHC & 0vββ collider 0vββ washout too big to generate collider Comprehensive analysis confirms EFT results and shows interesting interplay between collider and 0vββ reach. JH, Ramsey-Musolf, Shen, Urrutia, in preparation Julia Harz BSM theory overview of neutrinoless double beta decay 31 Constraining LNV interactions with rare kaon decays u K+ π+ u u K+ π+ u s d s d ● GIM suppressed ● No GIM suppression Not explicit LNV! ● Includes first and second generation How are higher dimensional operators constraint by rare kaon decays? Deppisch, Fridell, JH (2020) Julia Harz BSM theory overview of neutrinoless double beta decay 32 Constraining power at E949 ● SM, lepton number conserving vector current Deppisch, JH, Fridell (2020) signal region 1 SR 2