1. QWG5 DESY October 20, 2007 Miguel A. Sanchis-Lozano IFIC-Valencia 1 Miguel-Angel Sanchis-Lozano Department of Theoretical Physics & IFIC University of Valencia – CSIC Spain A light non-standard Higgs: to be or not to be @ a (Super) B factory* @ a (Super) B factory* email: mas@ific.uv.es *Based on arXiv:0709.3747 hep-ph/0702190, hep-ph/0610046 hep-ph/020156, hep-ph/0307313 Special thanks to J.Duboscq (CLEO) for many iIluminating discussions

2. QWG5 DESY October 20, 2007 Miguel A. Sanchis-Lozano IFIC-Valencia 2 Light neutral Higgs scenarios Higgs sector in the NMSSM: (seven) 2 neutral CP-odd Higgs bosons (A 1,2 ) 3 neutral CP-even Higgs bosons (H 1,2,3 ) 2 charged Higgs bosons (H ± ) The A 1 would be the lightest Higgs: Coupling of A 1 to down type fermions PQ symmetry or U(1) R slightly broken → a light pseudoscalar Higgs A 1  A 0 L & H Light dark matter? NMSSM candidate compatible with present bounds: Light neutralino with a singlet component McElrath [hep-ph/0506151] Light and heavy Higgs bosons can live together tan β = v 2 / v 1

3. QWG5 DESY October 20, 2007 Miguel A. Sanchis-Lozano IFIC-Valencia 3 Light Higgs windows at LEP (CPV MSSM) hep-ex/0406057 CPX MSSM 95% exclusion areas using scans with different values of arg (A t,b ). The region excluded by Yukawa searches, Z-width constraints or decay independent searches is shown in red CPX MSSM 95% exclusion areas using scans with different values of the top mass Diagram illustrating the effective coupling of a Higgs mass eigenstate H1 to the Z. Only the CP-even admixture h and H couple to Z while the CP-odd A does not: hence the coupling of the H 1 is reduced wrt a CPC scenario.

4. QWG5 DESY October 20, 2007 Miguel A. Sanchis-Lozano IFIC-Valencia 4 Next-to-Minimal Supersymmetric Model (NMSSM) Much less constrained by LEP data and B-physics observables than the MSSM Hiller, hep-ph/0404220 Higgs mass values allowed down to several GeV Similarly for Little Higgs models with an extended structure of global U(1) symmetries broken both spontaneously and explicitly, possibly leading to light pseudoscalar particles in the Higgs spectrum Kraml et al. hep-ph/0608079 Upsilon decays should be useful in the search for a light Higgs

5. QWG5 DESY October 20, 2007 Miguel A. Sanchis-Lozano IFIC-Valencia 5 Formalism  Leptonic decays

6. QWG5 DESY October 20, 2007 Miguel A. Sanchis-Lozano IFIC-Valencia 6 Mixing of a pseudoscalar Higgs A 0 and a  b resonance A 0 0,  b 0 unmixed states A 0,  b mixed (physical) states e + e -     τ + τ - 0 0 X d = cos  A tanβ Smaller coupling strength than in the MSSM

7. QWG5 DESY October 20, 2007 Miguel A. Sanchis-Lozano IFIC-Valencia 7  b / A 0 mixing  b / A 0 mixing X d = 10  b mass shift ? Hyperfine splitting m  -m  b unexpectedly large/or small broader  b ?   b >  [  b  2g] due to the new physics contribution X d = cos  A tanβ X d = 10,20,40 Possible spectroscopic consequences

8. QWG5 DESY October 20, 2007 Miguel A. Sanchis-Lozano IFIC-Valencia 8 Our proposal: Test of lepton universality in  leptonic decays Non-resonant decay Resonant decay Wilczek formula M1 transition probability Mixing effect QCD+binding energy effects small for the pseudoscalar A 0

9. QWG5 DESY October 20, 2007 Miguel A. Sanchis-Lozano IFIC-Valencia 9 Lepton universality in the SM Γ ll is an inclusive quantity:   l + l - is accompanied by an infinite number of soft photons The test of lepton universality can be seen as complementary to searches for monochromatic photons in the  γ ττ channel (see B. Heltsley talk) To order α 3 : Γ ll = Γ ll 0 [1+ δ vac +δ vertex ]  Γ ll 0 [1+ δ vac ] Divergencies/singularities free at any order: Bloch and Nordsieck theorem & Kinoshita-Sirlin-Lee-Nauenberg theorem Kinoshita-Sirlin-Lee-Nauenberg theorem 3α /4 π ~ 0.17% 7.6% Contribution potentially dangerous for testing lepton universality if final-state radiation is not properly taken into account in the MC to obtain the detection efficiency in the analysis of experimental data Albert et al. Nucl. Phys. B 166 (1980) 460 Warning! δ vac =δ ee +δ  +δ  + δ quarks Neglecting phase space and helicity flip effects. Higher-order SM effects are negligible

10. QWG5 DESY October 20, 2007 Miguel A. Sanchis-Lozano IFIC-Valencia 10 Testing Lepton Universality Channel: * BF[e + e - ] BF[μ + μ - ] BF[  +  - ] R/lR/lR/lR/l  (1S) 2.38 ± 0.11 % 2.60 ± 0.10 % 0.09 ± 0.06  (1S) 2.48 ± 0.05 % 2.60 ± 0.10 % 0.05 ± 0.04  (2S) 1.91 ± 0.16 % 2.00 ± 0.21 % 0.05 ± 0.14  (2S) 1.93 ± 0.17 % 2.00 ± 0.21 % 0.04 ± 0.14  (3S) 2.18 ± 0.20 % 2.29 ± 0.30 % 0.05 ± 0.16  (3S) 2.18 ± 0.21 % 2.29 ± 0.30 % 0.05 ± 0.16 Lepton Universality in Upsilon decays implies = 0 * From PDG ‘07

11. QWG5 DESY October 20, 2007 Miguel A. Sanchis-Lozano IFIC-Valencia 11 Lepton Universality Breaking? A0A0 LU R  /l 0.00.10.2 R  / e (1S) R  /  (1S) R  /e (2S) R  /  (2S) R  / e (3S) R  /  (3S) 0.30.4 0.0-0.1

12. QWG5 DESY October 20, 2007 Miguel A. Sanchis-Lozano IFIC-Valencia 12 Expected LU breaking Green line: non-resonant decay Black line: resonant decay Red line: sum X d =10,   b 0 = 5 MeV

13. QWG5 DESY October 20, 2007 Miguel A. Sanchis-Lozano IFIC-Valencia 13 A closer look at the NMSSM parameter space

14. QWG5 DESY October 20, 2007 Miguel A. Sanchis-Lozano IFIC-Valencia 14 λ A λ = -200 GeV μ = 150 GeV A κ = -15 GeV tanβ= 50 A λ ~ - Κ μ / λ Κ - (4/3) λ =0 0.1 ≤| cos  A |≤ 0.5 XdXdXdXd κ λ tanβ ~ 1/ [ tanβ ~ 1/ [A λ +Κ (μ / λ) ] Ananthanarayan & Pandita, hep-ph/9601372 X d > 5`` X d =10

15. QWG5 DESY October 20, 2007 Miguel A. Sanchis-Lozano IFIC-Valencia 15 In several NMSSM parameter regions, it may happen at the same time: Large tanβ (for A λ + κ s ≈ 0) Large tanβ (for A λ + κ s ≈ 0) 0.1 ≤ | cos  A | ≤ 0.5 ( A 0 mainly singlet but not completely ) 0.1 ≤ | cos  A | ≤ 0.5 ( A 0 mainly singlet but not completely ) |X d | = 5 – 25 for tanβ = 50 |X d | = 5 – 25 for tanβ = 50 Low mass (e.g. 10 GeV) of the lightest CP-odd Higgs boson A 0 Low mass (e.g. 10 GeV) of the lightest CP-odd Higgs boson A 0 Low fine-tunning in order to get a Higgs-like boson explaining the Low fine-tunning in order to get a Higgs-like boson explaining the Z+b-jets event excess at LEP (Dermisek & Gunion, hep-ph/0510322) Z+b-jets event excess at LEP (Dermisek & Gunion, hep-ph/0510322) Suggestive coincidence ! There should be one thousand reasons for not running a B factory at  (3S) “ There should be one thousand reasons for not running a B factory at  (3S) but right now I cannot think of one”

16. QWG5 DESY October 20, 2007 Miguel A. Sanchis-Lozano IFIC-Valencia 16 Summary What if... there exists a light Higgs-like particle about 10 GeV? A high luminosity B factory would be the ideal place to discover/study it, e.g. looking at - decay into τ + τ - (  ): Lepton universality test (M.A.S.L., arXiv:0709.3747) - decay into τ + τ - (  ): Lepton universality test (M.A.S.L., arXiv:0709.3747) - direct searches for monochromatic photons (see B. Heltsley talk) - direct searches for monochromatic photons (see B. Heltsley talk) Dermisek, Gunion and McElrath, hep-ph/0612031 Dermisek, Gunion and McElrath, hep-ph/0612031 ( also Mangano and Nason in  γ μμ decays, arXiv:0704:1719 ) ( also Mangano and Nason in  γ μμ decays, arXiv:0704:1719 ) Complementary/Implications to LHC/ILC searches! + related topics: muon g-2 anomaly, light dark matter + related topics: muon g-2 anomaly, light dark matter

17. QWG5 DESY October 20, 2007 Miguel A. Sanchis-Lozano IFIC-Valencia 17 Back up

18. QWG5 DESY October 20, 2007 Miguel A. Sanchis-Lozano IFIC-Valencia 18 Proposal of testing lepton universality (to the percent level) @ a (Super) B factory With the machine sitting on the  (3S) Final state & BF With the machine sitting on the  (3S) Final state & BF  (3S)  π + π -  (1S,2S) →  +  - π + π -  +  -  (3S)  π + π -  (1S,2S) →  +  - π + π -  +  - BF  2-4 x 10 -2 BF  2 x 10 -2 BF  4 - 8 x 10 -4 BF  2-4 x 10 -2 BF  2 x 10 -2 BF  4 - 8 x 10 -4  (3S)  π + π -  (1S,2S) →  +  - π + π - l + l -  (3S)  π + π -  (1S,2S) →  +  - π + π - l + l - BF  10 -1  +  - → l + l - X, l = e,  BF  5 - 10 x 10 -5 BF  10 -1  +  - → l + l - X, l = e,  BF  5 - 10 x 10 -5  (3S)   +  -  +  -  (3S)   +  -  +  - BF  2 x 10 -2 BF  2 x 10 -2 BF  2 x 10 -2 BF  2 x 10 -2  (3S)   +  - l + l - X  (3S)   +  - l + l - X → l + l - X, l = e,  BF  2 x 10 -3 → l + l - X, l = e,  BF  2 x 10 -3 With the machine sitting on the  (4S) With the machine sitting on the  (4S)  (4S)  π + π -  (1S,2S) →  +  - π + π -  +  -  (4S)  π + π -  (1S,2S) →  +  - π + π -  +  - BF  10 -4 BF  2 x 10 -2 BF  2 x 10 -6 BF  10 -4 BF  2 x 10 -2 BF  2 x 10 -6  (4S)  π + π -  (1S,2S) →  +  - π + π - l + l - X  (4S)  π + π -  (1S,2S) →  +  - π + π - l + l - X BF  10 -1  +  - → l + l - X, l = e,  BF  2 x 10 -7 BF  10 -1  +  - → l + l - X, l = e,  BF  2 x 10 -7 Compare rates Compare rates Compare rates Statistical error ≈ 0.07 / √ # fb -1 Systematic error ≤ 0.037 hep-ph/0610046

19. QWG5 DESY October 20, 2007 Miguel A. Sanchis-Lozano IFIC-Valencia 19 Entangled both theoretically and experimentally?  b resonance A 0 Higgs boson / Searches for  b states over more than 20 years No signal found so far! Petit bourgeois Enfant terrible Spectroscopic consequences: quite larger or smaller hyperfine splitting An unlikely but not impossible situation:  (ns) and  b (nS) mass levels might be reversed! Mixing