The status of asymptotic safety for quantum gravity and the Standard Model
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1 The status of asymptotic safety for quantum gravity and the Standard Model Aaron Held Institut für Theoretische Physik, Universität Heidelberg (A. Eichhorn & AH) Phys.Lett. B777 (2018) (A. Eichhorn & AH) Phys.Rev. D96 (2017) no.8, (A. Eichhorn & AH) Phys.Rev. D94 (2016) no.10, (A. Eichhorn, J.M. Pawlowski & AH) 674 WE-Heraeus Seminar on: Quantum spacetime and the Renormalization Group Physikzentrum Bad Honnef June 21th 2018
2 Planck-scale physics at the electroweak scale observables Strings Loops... EDT/CDT Causal Sets Tensor Models Spin Foams... Mew MPlanck Asymptotic safety Horava-Lifsihtz...
3 Planck-scale physics at the electroweak scale observables Strings Loops... EDT/CDT Causal Sets Tensor Models Spin Foams... Mew ing l a c al s c i n cano MPlanck canonical scaling Asymptotic safety Horava-Lifsihtz... fixed-point scaling quantum fluctuations Codello, Percacci, Rahmede 08 : dimfull : dimless
4 observables Planck-scale physics at the electroweak scale matter might bridge the gap Standard Model 1-loop running, cf. Buttazzo et.al. 13 Weinberg 76 Mew ing l a c al s c i n cano Asymptotic safety MPlanck canonical scaling fixed-point scaling quantum fluctuations Codello, Percacci, Rahmede 08 : dimfull : dimless
5 Quantum-gravity effects on matter higher order couplings Gies, Eichhorn 11 Eichhorn 12 gravitational induction all higher-order couplings allowed by symmetry are expected at Eichhorn, Held 17 k>mplanck... power-law suppressed suppressed by power-law running at k<mplanck Standard Model couplings marginal Standard Model couplings are not induced connect Planck- to electroweak-scale physics via logarithmic running
6 observables Planck-scale physics at the electroweak scale logarithmic running bridges the gap Standard Model 1-loop running, cf. Buttazzo et.al. 13 perturbative running couplings k>mplanck Weinberg 76 Mew ing l a c al s c i n cano Asymptotic safety MPlanck canonical scaling fixed-point scaling quantum fluctuations Codello, Percacci, Rahmede 08 : dimfull : dimless
7 Planck-scale physics at the electroweak scale observables desert Standard Model 1-loop running, cf. Buttazzo et.al. 13 Weinberg 76 Mew ing l a c al s c i n cano Asymptotic safety MPlanck canonical scaling fixed-point scaling quantum fluctuations Codello, Percacci, Rahmede 08 : dimfull : dimless
8 Planck-scale physics at the electroweak scale observables desert no-desert: bsm scenarios Eichhorn, AH, Wetterich, PLB 782 (2018) Christiansen, Eichhorn, AH, PRD 96 (2017) Eichhorn, AH, Vander Griend, Standard Model 1-loop running, cf. Buttazzo et.al. 13 Weinberg 76 Mew ing l a c al s c i n cano Asymptotic safety MPlanck canonical scaling fixed-point scaling quantum fluctuations Codello, Percacci, Rahmede 08 : dimfull : dimless
9 Gravitational anomalous dimension schematic expected leading order Standard Model Fixed points fluctuations quantum gravity fluctuations enhances symmetry admits for asymptotically free structure perturbative asymptotically safe UV-completion
10 Signatures within Standard Model physics schematic expected leading order Standard Model Fixed points fluctuations quantum gravity fluctuations parameters of the SM non-abelian g2,3 : Higgs quartic λ4 : U(1) gauge gy : Yukawas yt,b : fixed point asymptotically safe phenomenology
11 Signatures within Standard Model physics schematic expected leading order anti anti parameters of the SM non-abelian g2,3 : anti Higgs quartic λ4 : U(1) gauge gy : Yukawas yt,b : fixed point anti Daum, Harst, Reuter, 10 Folkerts, Litim, Pawlowski, 12 Christiansen, Eichhorn, 17 Christiansen, Litim, Pawlowski, Reichert, 17 asymptotically safe phenomenology
12 non-abelian gauge couplings schematic expected leading order anti anti Reinforces asymptotic freedom Non-Abelian gauge couplings remain free parameters
13 Signatures within Standard Model physics schematic expected leading order anti anti parameters of the SM non-abelian g2,3 : anti Higgs quartic λ4 : U(1) gauge gy : Yukawas yt,b : fixed point anti Daum, Harst, Reuter, 10 Folkerts, Litim, Pawlowski, 12 Christiansen, Eichhorn, 17 Christiansen, Litim, Pawlowski, Reichert, 17 asymptotically safe phenomenology reinforces asymptotic freedom
14 Signatures within Standard Model physics schematic expected leading order parameters of the SM fixed point non-abelian g2,3 : anti Higgs quartic λ4 : U(1) gauge gy : Yukawas yt,b : anti Daum, Harst, Reuter, 10 Folkerts, Litim, Pawlowski, 12 Christiansen, Eichhorn, 17 Christiansen, Litim, Pawlowski, Reichert, 17 Percacci, Perini 03 Narain, Percacci 09 asymptotically safe phenomenology reinforces asymptotic freedom vanishing quartics at the Planck scale Shaposhnikov, Wetterich, 09 Eichhorn, Hamada, Lumma, Yamada, 17
15 Signatures within Standard Model physics schematic expected leading order anti parameters of the SM fixed point non-abelian g2,3 : anti Higgs quartic λ4 : U(1) gauge gy : Yukawas yt,b : anti Daum, Harst, Reuter, 10 Folkerts, Litim, Pawlowski, 12 Christiansen, Eichhorn, 17 Christiansen, Litim, Pawlowski, Reichert, 17 Percacci, Perini 03 Narain, Percacci 09 anti Harst, Reuter, 11 Eichhorn, Versteegen 17 asymptotically safe phenomenology reinforces asymptotic freedom vanishing quartics at the Planck scale Shaposhnikov, Wetterich, 09 Eichhorn, Hamada, Lumma, Yamada, 17
16 Asymptotically safe abelian gauge coupling schematic expected leading order anti beta-function running of the coupling free UV-repulsive FP triviality problem
17 Asymptotically safe abelian gauge coupling schematic expected leading order anti beta-function interacting UV-repulsive FP free UV-repulsive FP running of the coupling
18 Asymptotically safe abelian gauge coupling schematic expected leading order anti beta-function running of the coupling Einstein Hilbert truncation interacting UV-repulsive FP free UV-repulsive FP Eichhorn, Versteegen 17 talk to Fleur Versteegen
19 Signatures within Standard Model physics schematic expected leading order anti parameters of the SM fixed point non-abelian g2,3 : anti Higgs quartic λ4 : U(1) gauge gy : Yukawas yt,b : anti Daum, Harst, Reuter, 10 Folkerts, Litim, Pawlowski, 12 Christiansen, Eichhorn, 17 Christiansen, Litim, Pawlowski, Reichert, 17 Percacci, Perini 03 Narain, Percacci 09 anti Harst, Reuter, 11 Eichhorn, Versteegen 17 asymptotically safe phenomenology reinforces asymptotic freedom vanishing quartics at the Planck scale Shaposhnikov, Wetterich, 09 Eichhorn, Hamada, Lumma, Yamada, 17 g 0.47 Y Eichhorn, Versteegen 17
20 Signatures within Standard Model physics (anti) parameters of the SM fixed point non-abelian g2,3 : anti Higgs quartic λ4 : U(1) gauge gy : Yukawas yt,b : anti Daum, Harst, Reuter, 10 Folkerts, Litim, Pawlowski, 12 Christiansen, Eichhorn, 17 Christiansen, Litim, Pawlowski, Reichert, 17 Percacci, Perini 03 Narain, Percacci 09 anti Harst, Reuter, 11 Eichhorn, Versteegen 17 (anti) Oda, Yamada, 16 Eichhorn, Held, Pawlowski, 16 Eichhorn, Held, 17 asymptotically safe phenomenology reinforces asymptotic freedom vanishing quartics at the Planck scale Shaposhnikov, Wetterich, 09 Eichhorn, Hamada, Lumma, Yamada, 17 g 0.47 Y Eichhorn, Versteegen 17
21 Asymptotically safe Yukawa couplings anti
22 Asymptotically safe Yukawa couplings anti perturbatively small
23 Asymptotically safe Yukawa couplings anti perturbatively small beta-function free UV-attractive FP interacting UV-repulsive FP running of the coupling
24 Asymptotically safe Yukawa couplings anti perturbatively small beta-function running of the coupling free UV-attractive FP interacting UV-repulsive FP Eichhorn, Held 17,
25 Asymptotically safe Yukawa couplings anti perturbatively small Eichhorn and Held 17 Eichhorn, Held and Pawlowski 16 Christiansen & Eichhorn, 2017 Oda, Yamada, 16 Eichhorn, Held, Pawlowski, 16 Eichhorn, Held, 17
26 Asymptotically safe Yukawa couplings anti perturbatively small Oda, Yamada, 16 Eichhorn, Held, Pawlowski, 16 Eichhorn, Held, 17 minimally coupled matter NV=12, NS=4, NW=0 no fermion family simplified form: Donà, Eichhorn, Percacci 13
27 Asymptotically safe Yukawa couplings anti perturbatively small Oda, Yamada, 16 Eichhorn, Held, Pawlowski, 16 Eichhorn, Held, 17 minimally coupled matter NV=12, NS=4, NW=15 1 fermion family simplified form: Donà, Eichhorn, Percacci 13
28 Asymptotically safe Yukawa couplings anti perturbatively small Oda, Yamada, 16 Eichhorn, Held, Pawlowski, 16 Eichhorn, Held, 17 minimally coupled matter NV=12, NS=4, NW=30 2 fermion family simplified form: Donà, Eichhorn, Percacci 13
29 Asymptotically safe Yukawa couplings anti perturbatively small Oda, Yamada, 16 Eichhorn, Held, Pawlowski, 16 Eichhorn, Held, 17 minimally coupled matter NV=12, NS=4, NW=45 3 fermion family simplified form: Donà, Eichhorn, Percacci 13 Gravitational scaling regime persists with minimally coupled Standard Model Donà, Eichhorn, Percacci 13 Meibohm, Pawlowski, Reichert 16 Biemans, Platania, Saueressig 17 fermionic matter leads to fy > 0 generically leads to perturbative regime as Λ acts as an effective mass
30 Asymptotically safe Yukawa couplings anti perturbatively small Oda, Yamada, 16 Eichhorn, Held, Pawlowski, 16 Eichhorn, Held, 17 minimally coupled matter simplified form: Donà, Eichhorn, Percacci 13 Eichhorn, Held 17 asymptotic safety Eichhorn, Held 17 within Einstein Hilbert truncation
31 assume: desert: no new physics at intermediate scales UV scaling-regime for quantum gravity (asymptotic safety) leading order quantum-gravity effects can be parametrized in (fg, fy) Mass difference for charged quarks
32 Mass difference for charged quarks Scale dependence most predictive fixed point Daum, Harst, Reuter, 10 Folkerts, Litim, Pawlowski, 12 Christiansen, Eichhorn, 17 Christiansen, Litim, Pawlowski, Reichert, 17 Eichhorn, Held 18
33 Mass difference for charged quarks Scale dependence most predictive fixed point Eichhorn, Held 18
34 Mass difference for charged quarks Scale dependence most predictive fixed point Eichhorn, Held 18
35 Mass difference for charged quarks Scale dependence most predictive fixed point Eichhorn, Held 18
36 Mass difference for charged quarks Scale dependence most predictive fixed point Eichhorn, Held 18
37 Mass difference for charged quarks Scale dependence most predictive fixed point Standard Model charges Eichhorn, Held 18
38 Mass difference for charged quarks Scale dependence most predictive fixed point Standard Model charges Eichhorn, Held 18
39 Mass difference for charged quarks Scale dependence most predictive fixed point Eichhorn, Held 18
40 Mass difference for charged quarks Proposed scenario Links quantum numbers (charges) of top and bottom to their mass difference Eichhorn, Held 18 Hints towards a universal force (quantum gravity) Eichhorn, Held 18 Eichhorn, Held 18 points towards the Planck scale (quantum gravity)
41 Summary Standard Model couplings at electroweak scale might constrain Planck-scale physics Potentially higher predictive power than the Standard Model effectively perturbative regime relies on masslike suppression of gravitational fluctuations
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