All Scalars from one Source: All Scalars from one Source: - PowerPoint PPT Presentation

All Scalars from one Source: All Scalars from one Source: Axiflavon-Higgs Axiflavon-Higgs Unification Unification Moriond EW 2019 Moriond EW 2019 La Thuile La Thuile Florian Goertz Florian Goertz 18.3.2019 18.3.2019 Alanne, Blasi, FG, PRD99 (2019) 015028 Calibbi, FG, Redigolo, Ziegler, Zupan, PRD95 (2017), 095009

Physics Beyond the SM Three of the Major Open Questions in Particle Physics ● Gravity SM ● Hierarchy Problem: m h << M PL ● Grand Unification of Forces? ● Hierarchical Flavor Structure ● Baryogenesis → Existence of Universe ● Dark Matter SM ● Trigger for Symmetry-Breaking Potential? ● Strong CP Problem M w ● … Florian Goertz Moriond EW 2019, La Thuile, 18.3.19

Solution to The Flavor Puzzle ● Large hierarchies in quark + lepton masses and in CKM matrix ... … can be addressed via horizontal U(1) H symmetry: Froggatt-Nielsen mechanism: NPB 147, 277,... ● LH and RH fermions feature different U(1) H charges ● Mass terms only after U(1) H broken via VEV of scalar field: Flavon F Florian Goertz Moriond EW 2019, La Thuile, 18.3.19

Solution to The Flavor Puzzle ● Large hierarchies in fermion masses and in CKM matrix ... Froggatt-Nielsen mechanism: NPB 147, 277,... heavy Q U(1) H charge → suppression by → O(1) flavor structure Florian Goertz Moriond EW 2019, La Thuile, 18.3.19

Solution to The Flavor Puzzle ● Large hierarchies in fermion masses and in CKM matrix ... Froggatt-Nielsen mechanism: NPB 147, 277,... heavy Q U(1) H charge → suppression by O(1) flavor structure Hierarchical masses and mixings: masses + mixings → Florian Goertz Moriond EW 2019, La Thuile, 18.3.19

Axion Solution to Strong CP Problem Why is the coefficient of the CP operator Neutron EDM: so tiny? Promote from parameter to dynamical variable: axion = PNGB of spontaneously broken U(1) PQ symmetry Potential induced by QCD instantons → minimum CP conserving → term vanishes Peccei, Quinn, PRL 38, 1440, Vafa, Witten, PRL 53, 535 Wilczek, PRL 40, 279 (1978), Weinberg, PRL 40, 223 (1978) Florian Goertz Moriond EW 2019, La Thuile, 18.3.19

A Unified Solution: The Axiflavon Can both frameworks be unified : 'single' solution for two problems? U(1) H ↔ U(1) PQ consider one complex scalar (single U(1)), unifying axion and flavon don't gauge U(1) H of FN mech. ... axiflavon flavon ^ → Solves flavor puzzle + solves strong CP problem: axiflavon = axion heavy flavon axiflavon = light PNGB, small mass induced by anomaly di Cortona, Hardy, Pardo Vega, Villadoro, 1511.02867 see also: Ema, Hamaguchi, Moroi, Nakayama, 1612.05492, Wilczek, PRL 49, 1549 (1982), ... Florian Goertz Moriond EW 2019, La Thuile, 18.3.19

The Axiflavon: Very Predictive axiflavon flavon ● axiflavon couplings to fermions non-universal (generation-dependent charges) → FCNCs Florian Goertz Moriond EW 2019, La Thuile, 18.3.19

New Way To Search for Axion: Flavor ● strong bounds from Kaon Physics ( transitions): stringent limit: E787, E949 Kamenik, Smith, 1111.6402 NA62 (Fantechi, 1407.821): O(10) improvement O(1) [model dependent] Florian Goertz Moriond EW 2019, La Thuile, 18.3.19

New Way To Search for Axion: Flavor ● strong bounds from Kaon Physics ( transitions): stringent limit: E787, E949 Kamenik, Smith, 1111.6402 ● further bounds from B-Physics ( transitions): Axion couplings as window to flavor dynamics Belle-II Florian Goertz Moriond EW 2019, La Thuile, 18.3.19

The Axiflavon: Photon Couplings ● axiflavon couplings to gluons/photons color anomaly electromagnetic anomaly → Can be directly related to fermion mass matrices: Froggatt, Nielsen: NPB 147, 277,... 99.9% not very sensitive to O(1) changes in a ij somewhat similar to DFSZ axion Florian Goertz Moriond EW 2019, La Thuile, 18.3.19

The Axiflavon: Dark Matter ● U(1) H -breaking before inflation → vacuum realignment mechanism → axions as cold dark matter misalignment angle ● Require → always possible (with q < p ) if vacuum realignment Sandbox Studio, Chicago with Ana Kova axion-string density diluted by inflation Florian Goertz Moriond EW 2019, La Thuile, 18.3.19

Summary of Constraints Telescopes, searching for Primakoff a losses affect stellar Primakoff production of a in core of SN: , irregularities in g -ray evolution (Globular Cluster) converted to photons in galactic B field → gamma rays spectrum ( g -a oscil.) (SMM satellite) a affects gravitational wave emission of rotating BH (rotating BEC of axions), imprint in spin vs. mass plots microwave signal in cavity (strong B-field) magnetic resonance exp. axion helioscope (a-> g in B-field) magn. flux in superc. loop a emissions in white dwarfs due to bremsstrahlung → coupling (WD cooling) flavor, cosmology, axion searches → potentially telling apart general axion solution from axiflavon Florian Goertz Moriond EW 2019, La Thuile, 18.3.19 KSVZ, DFSZ:

The Axiflavon Flavor Puzzle Strong CP Problem Axiflavon Dark Matter Strong CP ↔ Flavor ↔ Cosmology Florian Goertz Moriond EW 2019, La Thuile, 18.3.19

One Step Further Four of the Major Open Questions in Particle Physics ● Gravity SM ● Hierarchy Problem: m h << M PL ● Grand Unification of Forces? ● Hierarchical Flavor Structure ● Baryogenesis → Existence of Universe ● Dark Matter SM ● Trigger for Symmetry-Breaking Potential? ● Strong CP Problem M w ● … Florian Goertz Moriond EW 2019, La Thuile, 18.3.19

One Step Further: Axiflavon-Higgs Unification Unify axion, flavon, & Higgs in single multiplet transforms under enlarged global symmetry PQ-axion Florian Goertz Moriond EW 2019, La Thuile, 18.3.19

One Step Further: Axiflavon-Higgs Unification Unify axion, flavon, & Higgs in single multiplet transforms under enlarged global symmetry Spontaneous breaking of → axion & Higgs as (pseudo-)Goldstones see also Axion-Higgs Unif., flavon = heavy radial mode Redi, Strumia, 1208.6013 Radiative EWSB via Coleman-Weinberg Potential Florian Goertz Moriond EW 2019, La Thuile, 18.3.19

Setup ( ) ( ) alternative: instead of Florian Goertz Moriond EW 2019, La Thuile, 18.3.19

Setup ( ) ( ) Linear Sigma model for After spon. symmetry breaking: Florian Goertz Moriond EW 2019, La Thuile, 18.3.19

Setup ( ) ( ) Linear Sigma model for After spon. symmetry breaking: heavy doublet Goldstone Higgs Goldstone axion flavon (heavy) Florian Goertz Moriond EW 2019, La Thuile, 18.3.19

Setup Realization of FN messengers: , spinor of , vector-like under SM fermions: not filling SO(5) [spurions in spinorial rep]. Florian Goertz Moriond EW 2019, La Thuile, 18.3.19

Froggat Nielsen at work: t L -c R system Florian Goertz Moriond EW 2019, La Thuile, 18.3.19

The Coleman-Weinberg Potential top most relevant for explicit breaking → potential expand Match to SM potential at scale m Florian Goertz Moriond EW 2019, La Thuile, 18.3.19

The Coleman-Weinberg Potential Florian Goertz Moriond EW 2019, La Thuile, 18.3.19

The Coleman-Weinberg Potential Top mass → + all dimensionless numbers of order top yukawa, spread d Florian Goertz Moriond EW 2019, La Thuile, 18.3.19

Running of the quartic SM running allowed region from matching Florian Goertz Moriond EW 2019, La Thuile, 18.3.19

Axiflavon Constraints flavor Florian Goertz Moriond EW 2019, La Thuile, 18.3.19

Including RH neutrinos Envisage realizing neutrino masses via FN assisted Type-I seesaw no standard QCD axion Gherghetta, Nagata, Shifman, 1604.01127 Gaillard, Gavela, Houtz, Quilez, Rey, 1805.06465 Florian Goertz Moriond EW 2019, La Thuile, 18.3.19

Axiflavon-Higgs Unification … solves Flavor Puzzle, strong CP problem, Dark Matter + dynamical EWSB connected with origin of fermion mass hierarchies Vanishing of Higgs quartic around 10 10 GeV, just around natural scale for axiflavon dark matter, might hint both to Goldstone nature of the Higgs and to a connection between these two scalar sectors Florian Goertz Moriond EW 2019, La Thuile, 18.3.19

The Axiflavon-Higgs Flavor Puzzle Strong CP Problem ● Electroweak Symmetry Dark Matter Breaking Strong CP ↔ Flavor ↔ Cosmology ↔ EWSB Florian Goertz Moriond EW 2019, La Thuile, 18.3.19

Axiflavon-Higgs Unification Four of the Major Open Questions in Particle Physics ● Gravity SM ● Hierarchy Problem: m h << M PL ● Grand Unification of Forces? ● Hierarchical Flavor Structure ● Baryogenesis → Existence of Universe ● Dark Matter SM ● Trigger for Symmetry-Breaking Potential? ● Strong CP Problem M w ● … Florian Goertz Moriond EW 2019, La Thuile, 18.3.19

Future Directions Five of the Major Open Questions in Particle Physics ● Gravity SM ● Hierarchy Problem: m h << M PL ● Grand Unification of Forces? ● Hierarchical Flavor Structure ● Baryogenesis → Existence of Universe ● Dark Matter SM ● Trigger for Symmetry-Breaking Potential? ● Strong CP Problem M w ● … Florian Goertz Moriond EW 2019, La Thuile, 18.3.19