Moriond EWK, LaThuile, March 23, 2019

THEORY SUMMARY

Gudrun Hiller, TU Dortmund

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Theory themes 2019

29 (+ 6 in YSF) TH-talks ; broad range of Theory/Pheno topics

2019: ”feeble”, ”dark”, ”flavor”, ”precision”

the quest for BSM-physics:

Goertz

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Going ahead

– precision (SM background+interpretation)

– correlations/fits/overconstraining

– new directions (models, phenomena, enlarging parameter space)

– handshake TH + EXP

Tytgat Yamazaki

leaving no stone unturned

(indeed, you’ll see)

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PRECISION

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Precision EWK

Giardino

”... obsessing about precision to look for BSM”: Fits on EWKparameters, and in SMEFT LSMEFT = LSM +

∑i,nC

(n)i O

(n)i /Λn

”SM [from this side] looks healthy.. but room for deviations”interesting new 2σ ”hint” in α, known from atomic precision andelectron g − 2

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Polarization @ NLO pp→ WZ +X

BaglioExcellent agreement for NLO EW full vs DPADouble-pole approx:A(ab→ WZ → 3`ν) =

∑λi

A(ab→WZ)A(W→`1ν)A(Z→`2`3)Q1Q2

,Qi = q2

i −M2 + iMΓ

obs in angular distribution: precision tests and nulltests †

† big business in rare B decays

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muon g − 2

Hadronic light by light contribution from lattice QCD

Blum

”Prel. QEDL a→ 0, L→∞ limits taken; QED∞ w.i.p. Unlikely thatHLBL will rescue SM”

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g − 2, both of them

Hoferichter

Note, ∆aµ > 0; possible correlation with µ→ eγ, and muon EDM.”[Model with VL fermions] works for ae but tensions with aµ”.Modification with extra scalar (for aµ) and ae from Higgs work –interesting lepton flavor structure beyond (me/mµ)n scaling Hormigos

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ν-fits Update PMNS, masses

Hernandez

Some tensions (Kamland 2σ -∆m221, NOvA-T2K (δCP ), Normal ordering favored

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0νββ in EFT

Connecting BSM model with ∆L = 2 data

Dekens

”Renormalization in χEFT requires counterterms beyond NDA. ...appears at leading order, O(1) impact on amplitude”. Hadronic’obstacle’ in precision, beyond nuclear matrix elements.

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THE FEEBLE-WORLD

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Feeble with or without Darkness, or Flavor

massive, emerging TH activities∑

= 14 + 4 talks

Ongoing quest for BSM, here, in particular DM and the flavor puzzle,the latter revived by the flavor anomalies, triggered new type ofmodel building: ”data-driven”, ”simplified”, ”bottom-up”; Broad rangeof (novel) signatures and correlations; multi-experiments (directdetection, axion serach, collider, astro, cosmo,..)

Allanach,Ruderman, private comm.

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Feebleness

Bauer E.g.: goldstones, new gauge bosons, ”axions, hidden/dark photons”, slow decays (by

kinematics)

strategies: high statistics, displaced vertices, exotic decays of Z,H,B,D∗, µ, ....; signatures at many

exp settings

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8Be anomaly

Simon King light Z′ with feeble g ∼ 10−4, g′ ∼ 10−5 and lepton -nonuniversal interactions, M ∼ 17

MeV

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dark, darker,...

The particle physics connection

Bauer, Schwaller, Tytgat, Goertz, Covi, Hati, May,Reig, King,Arias-Aragon

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Minimal ADM, mν and BAU

asymmetric dark matter scen. mDM ∼ 5mp gives ΩDM ' 5Ω;”minimal” 2 RH neutrinos, SM×SU(2)D × Z3

Covi

Works with Yukwas with large CP-phase; only one Majoranaphase a low enery; effective mass

meff = |∑miU

2ei| within few meV.

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Flavorful dark matter

QCD × QCDDARK ; colored heavy mediator, couples to SM quarkflavors; light dark pions m ∼ GeV

Schwaller

Dark pions with or without flavor light, long-lived; searchable in fixed target and ∆F = 1 invisible

decays (Belle II, NA62), and fixed target πD → SM pions, K. ”emerging jets-signatures”

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Flavor hierachies and strong CP

Horizontal U(1)H to explain SM flavor hierachies (masses, CKM);Peccei-Quinn axion from U(1)PQ to explain smallness of EDMs (ϑ);take one scalar:field for both: Φ = 1/

√2(vϕ + ϕ) exp ia/vϕ, where ϕ:

lavon, a: axiflavon/ (pseudo)goldstone, light

Goertz

Link with flavor and axion very predictive – in reach of NA 62 K → πa;Axiflavon can be CDM if

ma . 10−4 − 10−5 eV.

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dark, darker,...

The (very) LHC-friendly connection

Harz, Lucente, Schwaller, Soualah, Hung

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Testing Leptogenesis – heavy RH neutrino decays

Neutrino masses from GeV seesaw with feeble Yukawas; 3 RHneutrinos mv ∼ v2F 1

MF ' 0.3(GeV

M)( F2

10−14 ) eV low scale leptogenesisphenomenology with ∼ GeV heavy RH neutrinos.

Lucente

Exploration for pp and heavy metal (ion) collisions, from W and B-decays. Suggests opportunity for

Argon. Simple model (HNL) – other models as well testable.

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Testing dark matter and more

Feebly-interacting dark matter through Freeze-inL = SM+ singlet scalar S + SU(2)L-singlet vector-like fermions F ;Yukawa-portal yf FSfSM to SM-fermions + Z2-symmetry

HarzFF -pair production and slow decay to DM plus SM-lepton or quark. For hadronic mode reach at 13

TeV LHC up to mF ∼ 1.8 TeV. Determination of mF and cτ allows to understand relation with relic

density – sensitive to reheating temperature TR; Vector-like fermions, LLPs, also Hung

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dark, darker,...

The Astro- connection

Randall, Stefanek, Ruderman, Kuehnel, Yamazaki

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ALPs in GR waves

S =∫d4x√−g(

1/2dµϕdµϕ− V (ϕ)− 1/4XµνXµν − α4fϕXµνXµν

), expl breaking

V = m2f2[1− cosϕ/f ] Dark photon X and axion-like particle (ALP) ϕ

Stefanek

ALP reach in Pulsar Timing Arrays (green), LISA (red), future highfrrequencey detectors (blue) Sensitivity to large decay constants inGR - complementarity to other ALP searches

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DM, post-modern

1.new ideas from particle physics for astonomy: Darkly charged DM(self-interacting, not necessarily with SM) viable!

Randall

2. Dwarf galaxies challenge ΛCDM

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Dark photons in 21 cm CMB

Upsetting photon spectra thu interaction with dark photons (theycould come from dark matter ALP), e.g ma = 10−3eV, τa ' 1012y,ε ∼ 10−7

Ruderman

”probing the low end of the CMB – a new arena for particle physics”

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FLAVOR

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Flavor

12+4 TH contributions partial overlap with feeble-world

Flavor puzzle/ flavor origins Steven King, Dev, Soualah, May,Rowley, Goertz, Hati (horizontal/family, Left-right symmetries)

anomalies Soni, Gisbert, Hati, Toledo, Heeck,Straub, Allanach,Angelescu, Hormigos, May, Rowley,Arias-Aragon

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Anomalies

– ε′/ε ? Gisbert finds ε′/ε compatible with SM

–g − 2 Hormigos asymptotically safe BSM

– RD∗ , RDπ τ vs e, µ lepton universality Toledo changed SM prediction

– RK , RK∗ : µ vs e lepton universality1. Leptoquarks,2. Z ′,3. model-independent

Leptons maybe more different than we thought. Hints for leptonnon-universality triggered new bottom-up model building and couldhelp to progress with flavor. Correlations, e.g. LFV, direct searches,K,D,B copiously, help narrow down model. Great opportunity, so..

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Single leptoquark solution

minimal, predictive: Vector LQ, for RK and RD ”just around thecorner” Angelescu

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Pati-Salam leptoquark solution

Heeck Pati-Salam LQ’s for RK and RD and seesaw II with NO

2 scalar LQs, S1 ”just around the corner”

2LQs Hati connecion with (radiative) mν , dark matter and LFV

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Z′ solutions

simplified LZ = (QλQγµQ+ LλLγµL)Z ′µ Collider reach depends onup-vs down flavor in couplings λQ,L in mass basis; third famillyhypercharge U(1)′; anomaly cancllation

Angelescu

Planck/GUT scale framework, mν seesaw, with VL fermions King

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Fits -update

Thanks, David, updates made in LaThuile Straub

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Charm is the new Beauty

Betti

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Charm is the new Beauty

Constraints on up-sector FCNCs are at the level of b-physics in thelast millenium. c→ uµµ, γ: |C(′)

9,10| . 1, |C(′)7 | . 0.3, |CT,T5| . 1, |C(′)

S,P | . 0.1.

versus |CeffSM7 | = O(0.001) , |CeffSM

9 | . 0.01 , CSM10 = 0 , (GIM !) C′SM, CSM

S,P,T,T5 = 0

Plenty of opportunities for BaBar, BESIII, Belle, Belle II and LHCb.Unique information on flavor in the up-sector

TH on rare radiative and sl ∆C = 1 nulltests and suficiently cleanobservables started. clean = clean enough

Lepton-nonunversality contest started! D0 → hhµµ LHCb D0 → hhee

BESIII, progress from BaBar Ben Haim

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Summary Summary

SM is alive, but challenged from increasing number of strategies

We are still in business with RK = 0.846+0.060+0.016−0.054−0.014 LHCb Humair with

RK ’14 and follow-ups – Looking forward to check lepton-universalityfurther in K, charm and B’s, and beyond.

Not just ”a hint”. but one that deeply rooted in flavor. If true it is agreat opportunity

It’s been a terrific week with great talks and discussions. Continue tomkae sure that no stone left unturned.

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