PROTOPHOBIC 8Be TRANSITION EVIDENCE FOR A NEW 17 MEV BOSON Flip Tanedo arXiv:1604.07411 & work in progress SLAC Dark Sectors 2016 (28 — 30 April) with Jonathan Feng, Bart Fornal, Susan Gardner, Iftah Galon, Jordan Smolinsky, & Tim Tait
BART SUSAN IFTAH 1 flip . tanedo @ uci . edu EVIDENCE FOR A 17 MEV NEW BOSON 14 week ending A 6.8σ nuclear transitionPRL 116, 042501 (2016) anomalyPHYSICAL REVIEW LETTERS 29 JANUARY 2016
shape of the resonance [40], but it is definitelyweek different ending pairs (rescaled for better separation) compared with the PRL 116, 042501 (2016) PHYSICAL REVIEW LETTERS 29 JANUARY 2016 from the shape of the forward or backward asymmetry [40]. simulations (full curve) including only M1 and E1 con- Therefore, the above experimental data make the interpre- tributions. The experimental data do not deviate from the Observation of Anomalous Internal Pairtation Creation of the in observed8Be: A Possible anomaly Indication less probable of a as Light, being the normal IPC. This fact supports also the assumption of the Neutralconsequence Boson of some kind of interference effects. boson decay. The deviation cannot be explained by any γ-ray related The χ2 analysis mentioned above to judge the signifi- A. J. Krasznahorkay,* M. Csatlós, L. Csige, Z. Gácsi,background J. Gulyás, M. either, Hunyadi, since I. Kuti, we B. cannot M. Nyakó, see any L. Stuhl, effect J. Timár, at off cance of the observed anomaly was extended to extract the T. G. Tornyi,resonance, and Zs. where Vajta the γ-ray background is almost the same. mass of the hypothetical boson. The simulated angular Institute for Nuclear Research, Hungarian Academy ofTo Sciences the best (MTA of Atomki), our knowledge, P.O. Box 51, the H-4001 observed Debrecen, anomaly Hungary can correlations included contributions from bosons with 2 notT. J. have Ketel a nuclear physics related origin. masses between m0c 15 and 17.5 MeV. As a result Nikhef National Institute for Subatomic Physics,The Science deviation Park 105, observed 1098 XG Amsterdam, at the bombarding Netherlands energy of of the χ2 analysis, we¼ determined the boson mass to be 2 Ep 1.10 MeV and at Θ ≈ 140° has a significance of 6.8 m0c 16.70 0.35 stat MeV. The minimum value for A. Krasznahorkay¼ 2¼ Æ ð Þ CERN, CH-1211 Geneva 23, Switzerland and Institute forstandard Nuclear Research,deviations, Hungarian corresponding Academy of to Sciences a background (MTA Atomki), fluc- the χ =f was 1.07, while the values at 15 and 17.5 MeV 12 P.O. Box 51, H-4001tuation Debrecen, probability Hungary of 5.6 × 10− . On resonance, the M1 were 7.5 and 6.0, respectively. A systematic error caused by (Received 7 April 2015;contribution published 26 should January be 2016) even larger, so the background the instability of the beam position on the target, as well as Electron-positron angular correlations wereshould measured decrease for the isovector faster than magnetic in other dipole cases, 17.6 MeV which would the uncertainties in the calibration and positioning of the π π (J 1þ, T 1) state → ground state (J make0þ, T the0) deviation and the isoscalar even magnetic larger dipoleand more 18.15 significant. MeV detectors is estimated to be 6°, which corresponds to ¼ ¼ ¼ ¼ ΔΘ (Jπ 1 , T 0) state → ground state transitions in 8Be. Significant− enhancement relative to the internal ¼ ¼ þ ¼ The eþe decay of a hypothetical boson emitted iso- 0.5 MeV uncertainty in the boson mass. pair creation was observed at large angles intropically the angular from correlation the target for the has isoscalar been transition simulated with together a with Since, in contrast to the case of 17.6 MeV isovector confidence level of > 5σ. This observation could possibly be due to nuclear reaction interference− effects or might indicate that, in an intermediatethe step, normal a neutral IPC isoscalaremission particle of eþe withpairs. a mass The of sensitivity of transition, the observed anomalous enhancement of the 2 theπ angular correlation measurements to the mass of the 18.15 MeV isoscalar transition could only be explained by 16.70 0.35 stat 0.5 syst MeV=c and J 1þ was created. Æ ð ÞÆ ð Þ assumed¼ boson is illustrated in Fig. 4. also assessing a particle, then it must be of isoscalar nature. DOI: 10.1103/PhysRevLett.116.042501 Taking into account an IPC coefficient of 3.9 × 10−3 for The invariant mass distribution calculated from the the 18.15 MeV M1 transition [32], a boson to γ branching measured energies and angles was also derived. It is shown DOI: 10.1103/PhysRevLett.116.042501 −6 ratio of 5.8 × 10 was found for− the best fit and was then2 in Fig. 5. Recently, several experimental anomalies were discussed particle decaying into an eþe pair, the angular correlation flipas . possible tanedo signatures@ uci for . a edu new light particle [1–3]. SomeusedEVIDENCE forbecomes the other FOR sharply boson A 17 peaked massesMEV at NEW larger in Fig. BOSON angles,4. the correlation14 The dashed line shows the result of the simulation predictions suggest light neutral bosons in the 10 MeVAccording– angle of to a two-particle the simulations, decay is the 180° contribution in the center-of-mass of the performed for M1 23%E1 mixed IPC transition (the 10 GeV mass range as dark matter candidates, whichassumedsystem. boson should be negligible for asymmetric pairs mixing ratio was determinedþ from fitting the experimental 8 couple to electrons and positrons [4–7], to explainwith the 0.5 ≤Toy populate≤ 1.0. the The 17.6, open and circles 18.15 MeV with1þ errorstates bars in Be in angular correlations), the dotted line shows the simulation anomalies. A number of attempts were made to find such selectively,j j we used the 7Li p; γ 8Be reaction at the Fig. 4 show the experimental data obtainedð Þ for asymmetric for the decay of a particle with mass of 16.6 MeV=c2 while particles [1,8–17]. Since no evidence was found, limits Ep 0.441, and 1.03 MeV resonances [29]. Proton beams were set on their mass and their coupling strength to from¼ a 5 MV Van de Graaff accelerator with typical current the dash-dotted line is their sum, which describes the 2 ordinary matter. In the near future, ongoing experiments are of -11.0 μA impinged on 15 μg=cm thick LiF2 and experimental data reasonably well. 10 2 − expected to extend those limits to regions in mass and 700 μg=cm thick LiO2 targets evaporated on 10 μmAl In conclusion, we have measured the eþe angular coupling strength which are so far unexplored. All of them backings. correlation in internal pair creation for the M1 transition − are designed to exploit the radiative production of the so- The eþe pairs were detected by five plastic ΔE E depopulating the 18.15 MeV state in 8Be, and observed a detector telescopes similar to those built by Stiebing− and called dark photons (γ0) by a very intense electron or peaklike deviation from the predicted IPC. To the best of positron beam on a high-Z target [18–23]. co-workers [34], but we used larger telescope detectors in In the present work, we reinvestigated the anomalies combination with position sensitive detectors to signifi- =17.6 MeV =15.6 MeV 2 observed previously in the internal pair creation of iso- cantly increase the coincidence efficiency by2 about 3 orders c c =16.6 MeV 0 0 2 3
vector (17.6 MeV) and isoscalar (18.15 MeV) M1 tran- c m of magnitude. E detectors of 38 × 45 × 1 mmm and the E Δ 0 800 8 3 sitions in Be [24–29]. The expected signature of the detectors of 78 × 60 × 70 mm werem placed perpendicu- anticipated particle is a very characteristic angular corre- larly to the beam direction at azimuthal angles of 0°, 60°, 700 − lation of the eþe pairs from its decay [30,31]. The angular 120°, 180°, and 270°. These angles ensured homogeneous correlation between the e and e− emitted in the internal IPCC (relative unit) 600 þ acceptance of the e e− pairs as a function of the correlation pair creation (IPC) drops rapidly with the separation angle þ angle. The positions of the hits were determined by 500 θ [32,33]. In striking contrast, when the transition takes =16.6 MeV −13 multiwire-2 proportional counters (MWPC) [35] placed in 2 c place by emission of a short-lived (τ < 10 s) neutral 10 400 0
front of the ΔE and E detectors. m The target strip foil was perpendicular to the beam 300 IPC, M1+E1
direction. The telescope detectors were placed around the (Weighted Counts/0.5 MeV) Published by the American Physical Society under the terms of 80 90 100 110 120 130 140 150 160 170 vacuum chamber made of a carbon-fiber tube. A detailed e+e- 200 the Creative Commons Attribution 3.0 License. Further distri- Θ (deg.) N bution of this work must maintain attribution to the author(s) and description of the experimental setup is published else- the published article’s title, journal citation, and DOI. where [36]. 100 − FIG. 4. Experimental angular eþe pair correlations measured 7 0 in the Li p; e e− reaction at E 1.10 MeV with 9 10 11 12 13 14 15 16 17 18 0031-9007=16=116(4)=042501(5) 042501-1ð þ PublishedÞ by the Americanp ¼ Physical Society −0.5 ≤ y ≤ 0.5 (closed circles) and y ≥ 0.5 (open circles). me+e- (MeV) The results of simulations of boson decayj j pairs added to those of IPC pairs are shown for different boson masses as described in FIG. 5. Invariant mass distribution derived for the 18.15 MeV the text. transition in 8Be.
042501-4 1138 M. J. SAVAGE, B.W. FILIPPONE, AND L. W. MITCHELL 37
sistent in yield, energy, and angular correlation with decays with a 44% branch to the ( J"=0+, T =0) ' —100 ppm of F contamination in the target and the ground state and a 56% branch to the (J =2+, T =0) 95-keV-wide resonance in ' F(p, a)' 0' at 1.720 MeV first excited state at 3.04 MeV, both of which promptly (Ref. 30). The broad peak appearing on the high-energy decay to two a particles. There are also small branches side of the ' N peak is present with the beam off and is to the isospin mixed levels at 16.6 and 16.9 MeV which due to cosmic-ray interactions. To produce the angular- also a decay. The a particles are stopped in the lexan correlation spectrum shown in Fig. 5(a), an energy re- window at the end of the target chamber, and are not quirement was imposed on the total energy spectrum seen by the detector. The transition to the ground state is such that only events in the upper-half of the full energy pure M1 but has a AT=1 isospin admixture of the order peak were accepted. With this cut, the contribution from of 10%; ' however, the ratio of the E2 to M1 com- ' F pairs and cosmic rays was negligible. The efficiency ponents of the transition to the first excited state has not of the detector to M1 pairs, ' ' passing the energy cuts, been experimentally determined. The isospin-triplet state from the 9.17-MeV state was calculated to be 3.7)& 10 at 17.4 MeV, for which the decay to the first excited state and hence, from the y-ray yield observed during the data has an E2 component two orders of magnitude lower acquisition, the expected number of IPC pairs was than the M1 component, has similar nuclear structure (6.6+0.6) X 10, in good agreement with the (6.0 to the 18.1-MeV state; however, hT =0, M1 transitions +0.6)X10 actually seen. The uncertainty quoted in- are inhibited in self-conjugate nuclei by 1 to 2 orders of cludes the uncertainty in the NaI efficiency and in the magnitude. The inhibition is due to the near cancella- efficiency of the software cuts. tion of the isoscalar and isovector magnetic moments in ' As for the scalar-particle case, we define the upper lim- the sum LM' '=p~+IM", where p' is the isoscalar magnetic it on particle decay to be the branch which increases I, moment of the nucleon and p~ and p" are the proton and of the fit between the data and the Monte Carlo simula- neutron magnetic moments, respectively. It is therefore tion by 2. The X, for a Monte Carlo simulation without not easy to estimate the amount of E2 in this transition particle emission [shown in Fig. 5(a)] is 1.5. Figure 5(b) to the first excited state; however, the uncertainty does shows the correlation spectrum that would be produced if not significantly effect the expected number of pairs be- this state had a 4)&10 branch to a 1.8-MeV particle cause the branching ratio of internal pairs for E2 and M1 that decayed to e+e, which is our quoted limit. transitions is comparable. Transitions involving pseu- doscalar particles are not inhibited a priori, and so are in- 2. Isoscalar transition in Be cluded in the Monte Carlo simulations of the experiment. It is important to note that the uncertainty in the M 1 The third transition studied was the decay of the component of the decay to the broad (I =1.5 MeV) first 18.15-MeV (J =1+, T =0) level in Be. The level excited state has little effect ( & 15%) on our sensitivity to scheme for the relevent states in Be is shown in Fig. 6. particle emission because particle decay to this state The 18.1-MeV state, which is apparently the isospin- would produce a broad feature, rather than a peak, in the singlet partner of the triplet state at 17.4 MeV (Ref. 33}, correlation spectrum. The bulk of our sensitivity comes from the ground-state transition which is pure M1, and so for the purpose of deriving limits on particle emission we assume that the first-excited-state transition is pure 8-Beryllium Levels E (Mev) E2 (i.e., no particle emission). The excitation function of the Li(p, y)'Be reaction in- many other states not shown dicated a large direct capture yield to the first excited 1+;0 18.15 state which reduced the sensitivity of the measurement 1;1 17 64 2+;0+ 1 16.92 since the direct capture proceeds via an E 1 (Ref. 36) tran- Li+p 2+;0+1 16.63 sition for which 0 particles cannot be emitted. For an 17.25 MeV E1 transition the IPC to y-ray ratio is somewhat greater —— than that of an M1: I ~z&/I z 4.3X10 compared M1 M1 with I I&/I ~=3.5X10 for the 18.15-MeV transi- 4+.0 11.4 tion. The ratio of the yield of high-energy y rays on resonance to that off resonance was used to estimate the 44% 56% 67K 33% direct capture contribution to the pairs and was used as input for the Monte Carlo simulation. Even with the un- certainty in the nature of the multipolarity of the radia- tion to the first excited state, the number of pairs expect- ed was 464+50, which is significantly less than the 1001 2+;0 3.04 events recorded. The summed-energy spectrum [Fig. 7(a}]is broad and shows little structure (except for a pos- sible small contribution from ' F contamination) in con- o+-o 0.00 trast with the expected spectrum [Fig. 7(b)] that is Savage et al. Phys. Rev. D37 (1987) 11348Be skewed3 toward the high-energy end. The maximum of flip . tanedo @ uci . edu EVIDENCE FOR A 17 MEV NEW BOSON 14 FIG. 6. Level scheme of Be showing the branches of interest the Monte Carlo spectrum occurs at 14 MeV and not 18 from the two J =1+ states at —18-MeV excitation. MeV as naively expected for an 18-MeV transition, since Experiment & interpretation
ATOMKI PAIR SPECTROMETER
FT, based on Gulyás et al. (1504.00489) 4 flip . tanedo @ uci . edu EVIDENCE FOR A 17 MEV NEW BOSON 14 A 6.8σ anomaly: two measurements
-1 10
m=15.6 MeV 800 symmetric e m=16.6 MeV 700 m=17.6 MeV dN/d θ 600 + e - 500 [per 0.5 MeV]
ee 400 backgroundm=16.6 MeV
300
asymmetric e 200 -2 ÷1.9 Counts, N 10 + 100 e - signal 0 80 90 100 110 120 130 140 150 160 170 9 10 11 12 13 14 15 16 17 18
Opening Angle [Deg] Invariant Mass, mee [MeV]
Krasznahorkay et al. Phys. Rev. Lett 116 (2016) 042501 5 flip . tanedo @ uci . edu EVIDENCE FOR A 17 MEV NEW BOSON 14 Sanity Checks
1. Bump, not monotonically decreasing background
2. Opening angle and invariant mass agree (17 MeV)
3. Bump disappears off resonance not interference with other decays
4. Bump disappears for asymmetric energies consistent with kinematics for on-shell particle
5. Large energy splitting, wouldn’t see in other nuclei
6 flip . tanedo @ uci . edu EVIDENCE FOR A 17 MEV NEW BOSON 14 1138 M. J. SAVAGE, B.W. FILIPPONE, AND L. W. MITCHELL 37
sistent in yield, energy, and angular correlation with decays with a 44% branch to the ( J"=0+, T =0) ' —100 ppm of F contamination in the target and the ground state and a 56% branch to the (J =2+, T =0) 95-keV-wide resonance in ' F(p, a)' 0' at 1.720 MeV first excited state at 3.04 MeV, both of which promptly (Ref. 30). The broad peak appearing on the high-energy decay to two a particles. There are also small branches side of the ' N peak is present with the beam off and is to the isospin mixed levels at 16.6 and 16.9 MeV which due to cosmic-ray interactions. To produce the angular- also a decay. The a particles are stopped in the lexan correlation spectrum shown in Fig. 5(a), an energy re- window at the end of the target chamber, and are not quirement was imposed on the total energy spectrum seen by the detector. The transition to the ground state is such that only events in the upper-half of the full energy pure M1 but has a AT=1 isospin admixture of the order peak were accepted. With this cut, the contribution from of 10%; ' however, the ratio of the E2 to M1 com- ' F pairs and cosmic rays was negligible. The efficiency ponents of the transition to the first excited state has not of the detector to M1 pairs, ' ' passing the energy cuts, been experimentally determined. The isospin-triplet state from the 9.17-MeV state was calculated to be 3.7)& 10 at 17.4 MeV, for which the decay to the first excited state and hence, from the y-ray yield observed during the data has an E2 component two orders of magnitude lower acquisition, the expected number of IPC pairs was than the M1 component, has similar nuclear structure (6.6+0.6) X 10, in good agreement with the (6.0 to the 18.1-MeV state; however, hT =0, M1 transitions +0.6)X10 actually seen. The uncertainty quoted in- are inhibited in self-conjugate nuclei by 1 to 2 orders of cludes the uncertainty in the NaI efficiency and in the magnitude. The inhibition is due to the near cancella- efficiency of the software cuts. tion of the isoscalar and isovector magnetic moments in ' As for the scalar-particle case, we define the upper lim- the sum LM' '=p~+IM", where p' is the isoscalar magnetic it on particle decay to be the branch which increases I, moment of the nucleon and p~ and p" are the proton and of the fit between the data and the Monte Carlo simula- neutron magnetic moments, respectively. It is therefore tion by 2. The X, for a Monte Carlo simulation without not easy to estimate the amount of E2 in this transition particle emission [shown in Fig. 5(a)] is 1.5. Figure 5(b) to the first excited state; however, the uncertainty does shows the correlation spectrum that would be produced if not significantly effect the expected number of pairs be- this state had a 4)&10 branch to a 1.8-MeV particle cause the branching ratio of internal pairs for E2 and M1 that decayed to e+e, which is our quoted limit. transitions is comparable. Transitions involving pseu- doscalar particles are not inhibited a priori, and so are in- 2. Isoscalar transition in Be cluded in the Monte Carlo simulations of the experiment. It is important to note that the uncertainty in the M 1 The third transition studied was the decay of the component of the decay to the broad (I =1.5 MeV) first 18.15-MeV (J =1+, T =0) level in Be. The level excited state has little effect ( & 15%) on our sensitivity to scheme for the relevent states in Be is shown in Fig. 6. particle emission because particle decay to this state The 18.1-MeV state, which is apparently the isospin- would produce a broad feature, rather than a peak, in the singlet partner of the triplet state at 17.4 MeV (Ref. 33}, correlation spectrum. The bulk of our sensitivity comes from the ground-state transition which is pure M1, and so for the purpose of deriving limits on particle emission Not a dark Higgs we assume that the first-excited-state transition is pure E (Mev) E2 (i.e., no particle emission). The excitation function of the Li(p, y)'Be reaction in- dicated a large direct capture yield to the first excited ANGULAR MOMENTUM 1+;0 18.15 state which reduced the sensitivity of the measurement 1;1 17 64 2+;0+ 1 16.92 since the direct capture proceeds via an E 1 (Ref. 36) tran- ` =1 Li+p 2+;0+1 16.63 sition for which 0 particles cannot be emitted. For an 17.25 MeV E1 transition the IPC to y-ray ratio is somewhat greater than that of an M1: I ~z&/I ——4.3X10 compared PARITY z with I I&/I ~=3.5X10 for the 18.15-MeV transi- ` 4+.0 11.4 P =( ) PBe PX tion. The ratio of the yield of high-energy y rays on + + resonance to that off resonance was used to estimate the - 44% 56% 67K 33% direct capture contribution to the pairs and was used as input for the Monte Carlo simulation. Even with the un- certainty in the nature of the multipolarity of the radia- Decay is forbidden tion to the first excited state, the number of pairs expect- up to parity violation ed was 464+50, which is significantly less than the 1001 2+;0 3.04 events recorded. The summed-energy spectrum [Fig. 7(a}]is broad and shows little structure (except for a pos- sible small contribution from ' F contamination) in con- o+-o 0.00 trast with the expected spectrum [Fig. 7(b)] that is 8Be skewed toward the high-energy end. The maximum of FIG. 6. Level scheme of Be showing the branches of interest the Monte Carlo spectrum occurs at 14 MeV and not 18 from the two J =1+ states at —18-MeV excitation. 7 MeV as naively expected for an 18-MeV transition, since flip . tanedo @ uci . edu EVIDENCE FOR A 17 MEV NEW BOSON 14 6.2 Physics Motivation 135
fa GeV 1014 1013 1012 1011 1010 109 108 107 106 105 104 103 102 101 1
String decay $ % 2.0 Hot!DM CMB BBN
Misalignment Telescope EBL 1.5 Cold DM Burst Duration ! SK ! SN1987A 1.0 ! gae Globular Clusters gaΓ
WD cooling hint White Dwarfs gae 0.5 " # gae Solar Neutrino flux g"aΓ # 0.0 ADMX ADMX!II IAXO Helioscopes " # Beam Dump " # " # !0.5 10!7 10!6 10!5 10!4 10!3 10!2 10!1 1 10 102 103 104 105 106 107 Not an axion-likema eV particle -2 + - Vacuum $ % e +e -> g+inv. -4 Birefringence Beam Dump largely ruled out -6 LSW SN1987a for many decades in ALP— couplings
D -8 � 1
- Solar n Helioscopes Telescopes HB GeV -
@ 10
˝ SN g-burst REAPR, ALPS-II IAXO a g xion See also: 10 -12 WD cooling hint BBN Log Yale 1512.03069 CMB -14 ADMX-HF
Cavities ADMX Microwave EBL
-16 non-Thermal DM DM X axion - Rays KSVZ -18 Thermal -12 -10 -8 -6 -4 -2 0 2 4 6 8 10
Log10 mALP eV Figure 6-1.HewettParameter et al. space “Fundamental for axions (top) Physics and axion-like at the particles Intensity (ALPs) Frontier” (bottom). 1205.2671 In the bottom plot, the QCD axion models lie within an order of magnitude from the explicitly shown “KSVZ” axion 8 line. Coloredflip regions . tanedo are: experimentally@ uci . edu excluded regions@ (darkDEVIDENCE green), constraints FOR A 17 fromMEV astronomicalNEW BOSON 14 observations (gray) or from astrophysical or cosmological arguments (blue), and sensitivity of planned experiments (light green). Shown in red are boundaries where ALPs can account for all the dark matter produced either thermally in the big bang or non-thermally by the misalignment mechanism.
Fundamental Physics at the Intensity Frontier Not your mother’s dark photon
2 KLOE ε WASA
) σ (3 2) e − 10-5 (g
HADES
(g−2) APEX " 0.011 µ A1 10-6 ⇡ BaBar
E774 NA48/2 Proposal: separate 10-7 E141
2 u, d and e couplings 10 0 10 2 ⇡ X mA’ (MeV/c ) Figure 4: Obtained upper limits at 90% CL! on the mixing parameter ε2 versus the DP mass + − mA′ ,comparedtootherpublishedexclusionlimitsfrommesondecay, beam dump and e e NA46/2 1504.00607collider experiments [16–22]. Also shown is the band where the inconsistency9 of theoretical and experimental values of muon (g 2) reduces to less than 2 standard deviations, as well as the flip . tanedo @ uci . edu EVIDENCE− FOR A 17 MEV NEW BOSON 14 region excluded by the electron (g 2) measurement [2, 23, 24]. −
± the mass range 2me
Conclusions
Asearchforthedarkphoton(DP)productionintheπ0 γA′ decay followed by the prompt → A′ e+e− decay has been performed using the data sample collected by the NA48/2 experiment → in 2003–2004. No DP signal is observed, providing new and morestringentupperlimitsonthe mixing parameter ε2 in the mass range 9–70 MeV/c2.Incombinationwithotherexperimental searches, this result rules out the DP as an explanation for the muon (g 2) measurement − under the assumption that the DP couples to quarks and decays predominantly to SM fermions. The NA48/2 sensitivity to the dark photon production in the K± π±A′ decay has also been → evaluated.
12 π0-phobia = p+-phobia To avoid NA46/2, prohibit π0 decay to X� X X 1 1 ⇡0 = uu¯ dd¯ ⇡0 = upu¯ dd¯ p2 Np=2 1 Goldstone uu¯ dd¯ n p of SU(2)L SU(2)R 2 ⇥ ✓ ◆
FROM QUARK CONTENT FROM CHIRAL PERT. THEORY
QuQu0 QdQd0 =0 p N = Qd0 = 2Qu0 n ✓ ◆
- For spin-1 10 flip . tanedo @ uci . edu EVIDENCE FOR A 17 MEV NEW BOSON 14 Production and Decay 0.03
PRODUCTION 8 8 3 Br( Be⇤ Be X) 2 p~X 6 ! =("p + "n) | | 5.6 10 Br(8Be⇤ 8Be ) p~ 3 ⇡ ⇥ ! | |
DECAY
5 "e & 1.4 10 “Dark photon” with ⇥ separate couplings g " e i ⌘ i 11 flip . tanedo @ uci . edu EVIDENCE FOR A 17 MEV NEW BOSON 14 4
its bounds are derived from X-bremsstrahlung from the initial p beam and ⇡0 decays to X bosons [24]. Both of these are suppressed in protophobic models. The CHARM experiment at CERN also bounds the param- eter space through searches for ⌘, ⌘0 X , followed by + ! X e e [25]. At the upper boundary of the region ex- cluded! by CHARM, the constraint is determined almost completely by the parameters that enter the X decay length, and so the dark photon bound on " applies to 5 "e and requires "e > 2 10 . A similar, but weaker constraint can be| derived| ⇥ from LSND data [26–28]. There are also bounds on the neutrino charge "⌫ .Inthe present case, where "e is non-zero, a recent study of B L gauge bosons [29] finds that these couplings are most stringently bounded by precision studies of⌫ ¯ e scat- tering from TEXONO for the mX of interest here [30]. Reinterpreted for the present case, these studies require 1/2 5 "⌫ "e . 7 10 . There are also bounds from co- herent| | neutrino-nucleus⇥ scattering. Dark matter experi- ments with Xe target nuclei require a B L gauge boson FIG. 2. The 8Be signal region, along with current constraints 5 discussed in the text (gray) and projected sensitivities of fu- to have coupling gB L . 4 10 [31]. Rescaling this to 8 the current case, given Z =⇥ 54 and A = 131 for Xe, we ture experiments in the (mX , "e)plane.Forthe Be signal, 1/2 4 the other couplings are assumed to be in the ranges given in find "⌫ "n < 2 10 . Eq. (10); for all other contours, the other couplings are those | | ⇥8 To explain the Be signal, "n must be significantly of a dark photon. larger than "e. Nevertheless, the⌫ ¯ e scattering con- 8 8 8 straint provides a bound on "⌫ that is comparable to or explains the Be anomaly by Be⇤ Be X, followed by + ! stronger than the ⌫ N constraint throughout parameter X e e , consistent with existing constraints. For "e ! | | space, and so we use the⌫ ¯ e constraint below. Note near the upper end of the allowed range in Eq. (10) and also that, given the range of acceptable " , the bounds "µ "e ,theX boson also solves the (g 2)µ puzzle, e | | ⇡ | | on "⌫ are more stringent than the bounds on "e, and so reducing the current 3.6 discrepancy to below 2 [9]. + B(X e e ) 100%, justifying our assumption above. Conclusions. We find evidence in the recent obser- ! ⇡ + Although not our main concern, there are also bounds vation of a 6.8 anomaly in the e e distribution of on second-generation couplings. For example, NA48/2 nuclear 8Be decays for a new vector gauge boson. The also derives bounds on K+ ⇡+X, followed by X new particle mediates a fifth force with a characteristic + ! ! e e [10]. However, this branching ratio vanishes for length scale of 12 fm. The requirements of the signal, massless X and is highly suppressed for low mX . For along with the many constraints from other experiments mX = 17 MeV, the bound on "n is not competitive with that probe these low energy scales, constrain the mass those discussed above [9, 11]. KLOE-2 also searches for and couplings of the boson to small ranges: its mass is Production (quark) couplings ⌘X followed by X e+e and excludes the dark mX 17 MeV, and it has milli-charged couplings to ! ! 3 ⇡ photon parameter " 7 10 [32]. This is similar up and down quarks and electrons, but with relatively . ⇥ numericallyShaded Regions to bounds discussed above, and the strange suppressed (and possibly vanishing) couplings to protons (and neutrinos) relative to neutrons. If its lepton cou- quark chargeAllowed"s can be chosen to satisfy this constraint. In summary, in the extreme protophobic case with plings are approximately generation-independent, the 17 MeV vector boson may simultaneously explain the exist- mX 17 MeV, the charges are required to satisfy ⇡ 2 4 3 ing 3.6 deviation from SM predictions in the anomalous "n < 2.5 10 and 2Barbieri10