Evidence for the rare decay B+→Λˉpμ+μ−
Using LHCb proton-proton collision data at 13 TeV, researchers report evidence for the rare decay B+→Λˉpμ+μ− with a significance of 3.5 standard deviations in the low invariant-mass region of the Λˉp system, measuring a branching fraction of approximately 1.70×10−8 while setting upper limits for the high-mass region.
Original authors: LHCb collaboration, R. Aaij, A. S. W. Abdelmotteleb, C. Abellan Beteta, F. Abudinén, T. Ackernley, A. A. Adefisoye, B. Adeva, M. Adinolfi, P. Adlarson, C. Agapopoulou, C. A. Aidala, Z. Ajaltouni, S. Akar, K. Akiba, P. Albicocco, J. Albrecht, R. Aleksiejunas, F. Alessio, P. Alvarez Cartelle, R. Amalric, S. Amato, J. L. Amey, Y. Amhis, L. An, L. Anderlini, M. Andersson, P. Andreola, M. Andreotti, S. Andres Estrada, A. Anelli, D. Ao, C. Arata, F. Archilli, Z. Areg, M. Argenton, S. Arguedas Cuendis, L. Arnone, A. Artamonov, M. Artuso, E. Aslanides, R. Ataíde Da Silva, M. Atzeni, B. Audurier, J. A. Authier, D. Bacher, I. Bachiller Perea, S. Bachmann, M. Bachmayer, J. J. Back, P. Baladron Rodriguez, V. Balagura, A. Balboni, W. Baldini, Z. Baldwin, L. Balzani, H. Bao, J. Baptista de Souza Leite, C. Barbero Pretel, M. Barbetti, I. R. Barbosa, R. J. Barlow, M. Barnyakov, S. Barsuk, W. Barter, J. Bartz, S. Bashir, B. Batsukh, P. B. Battista, A. Bavarchee, A. Bay, A. Beck, M. 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Original paper licensed under CC BY 4.0 (http://creativecommons.org/licenses/by/4.0/). ✨ This is an AI-generated explanation of the paper below. It is not written or endorsed by the authors. For technical accuracy, refer to the original paper. Read full disclaimer
Imagine the universe as a giant, cosmic construction site where tiny building blocks called particles are constantly being built, smashed together, and broken apart. Most of the time, these particles follow a strict rulebook called the Standard Model, which predicts exactly how they should behave. But sometimes, nature throws a curveball. In a specific corner of this construction site, heavy particles known as "B mesons" are supposed to decay (fall apart) in very predictable ways. However, physicists are on the hunt for "rare decays"—moments where a B meson breaks apart into a strange combination of particles that shouldn't happen often, or perhaps shouldn't happen at all according to the old rulebook.
Think of a B meson like a heavy, fancy toy that usually breaks into two specific pieces. But what if, once in a blue moon, it shatters into a proton, an antiproton, and a pair of muons (which are like heavy electrons)? If we see this happen, it's a huge clue. It might mean there are invisible "ghost" particles or new forces at work, nudging the toy apart in a way the Standard Model didn't predict. These rare events are like finding a single, perfect diamond in a pile of gravel; they are incredibly hard to spot, but if you find one, it could rewrite the laws of physics.
The Hunt for the Ghostly Breakup
In this paper, the LHCb collaboration at CERN acts like a team of ultra-precise detectives scanning a massive pile of data. They looked at collisions from a giant particle accelerator called the Large Hadron Collider, where protons were smashed together at a speed of 13 TeV. Over three years (2016–2018), they collected a mountain of data equivalent to 5.4 inverse femtobarns (a unit of how many collisions they watched). Their goal? To catch the B+ meson in the act of decaying into a Lambda baryon, a proton, and two muons (B+→Λpμ+μ−).
This is a tricky case because the signal is incredibly faint. It's like trying to hear a single violin playing a specific note in the middle of a roaring stadium crowd. To do this, the team built a sophisticated filter using a "boosted decision tree" (a type of computer brain) to separate the real signal from the background noise. They also used a "control group"—a known, common decay (B+→J/ψΛp)—to calibrate their measurements, ensuring their tools were working correctly.
The Discovery: A Whisper, Not a Shout
After sifting through the data, the team found something exciting, though not quite a slam-dunk victory. In the region where the Lambda and proton are moving slowly relative to each other (specifically, when their combined mass is less than 2.8 GeV/c²), they spotted an excess of events. They counted about 15.5 events that looked like the rare decay they were hunting for.
This finding has a statistical significance of 3.5 standard deviations. In the world of particle physics, this is like hearing a very clear whisper that you are 99.9% sure isn't just the wind, but it's not quite a shout loud enough to be called a "discovery" (which usually requires a 5-sigma, or 99.9999% certainty). The paper calls this "Evidence" rather than a definitive "Observation."
The team measured how often this happens, known as the branching fraction. For the low-mass region, they found:
Blow(B+→Λpμ+μ−)=(1.70−0.56+0.65(stat)±0.17(syst)±0.14(ext))×10−8
This means the event happens roughly 1.7 times out of every 100 million B+ decays, with some wiggle room due to measurement uncertainties.
What They Didn't Find
The story isn't just about what they found; it's also about what they didn't. When they looked at the high-mass region (where the Lambda and proton are moving fast, above 2.8 GeV/c²), they found nothing. No excess, no signal, just background noise. Because of this, they set an upper limit: if this rare decay happens in that high-speed zone, it happens less than 2.8 times out of 100 million (at a 90% confidence level).
Why It Matters
The fact that they saw this "whisper" in the low-mass region is significant because it hints at a phenomenon called "threshold enhancement." This is a fancy way of saying that when the Lambda and proton are just barely moving apart, they seem to stick together or interact in a special way that boosts the number of events. This behavior has been seen in other particle breakdowns, but seeing it in this specific, rare decay involving muons is a new piece of the puzzle.
While the result is currently lower than some older theoretical predictions, it is still compatible with them within a margin of error. The paper concludes that this is the first time anyone has looked for this specific baryon-antibaryon decay with muons. It doesn't prove new physics exists yet, but it lays the foundation. It shows that the "ghostly breakup" is real enough to be seen, and it invites more detailed studies to understand exactly how these heavy particles turn into light ones. The search continues, and this time, the detectives have a very strong lead.
Technical Summary: Evidence for the rare decay B+→Λpμ+μ−
Problem and Motivation
Rare decays of heavy-flavored hadrons mediated by flavor-changing neutral currents (FCNCs), such as the b→sℓ+ℓ− transition, are highly suppressed in the Standard Model (SM) as they occur only via loop-level processes. This suppression renders them sensitive probes for New Physics (NP), including potential contributions from new gauge bosons, leptoquarks, or supersymmetric states. While mesonic channels are well-explored, baryonic decays offer a complementary environment for studying nonperturbative hadronization dynamics and multibody kinematics.
The specific decay B+→Λpμ+μ− is of particular interest due to its baryonic final state. Theoretical predictions for this channel are scarce and limited by nonperturbative effects. Existing SM predictions vary significantly; an earlier estimate suggested a branching fraction of ∼10−7, while a more recent calculation using updated baryonic form factors implies a value nearly an order of magnitude smaller. Furthermore, baryonic B decays often exhibit a "threshold enhancement" mechanism near the baryon-antibaryon invariant-mass threshold, a phenomenon observed in other modes like B+→ΛpK+K− and B+→Λpπ+π−. Prior to this work, no experimental measurement existed for B+→Λpμ+μ−, though an upper limit had been set for the related neutrino mode B+→Λpννˉ.
Methodology
The analysis utilizes proton-proton collision data collected by the LHCb experiment at a center-of-mass energy of s=13 TeV, corresponding to an integrated luminosity of 5.4 fb−1 (collected between 2016 and 2018). The search targets the decay chain B+→Λpμ+μ− with Λ→pˉπ+.
- Event Selection: Candidates are reconstructed using a high-precision tracking system and particle identification (PID) detectors. The Λ baryon is reconstructed in two categories: "long" (tracks in all detectors) and "downstream" (tracks excluding the Vertex Locator). To suppress combinatorial background, a Boosted Decision Tree (BDT) classifier is trained on signal simulation and data sidebands (m(Λpμ+μ−)>5400 MeV/c2). The selection optimizes the Punzi figure of merit.
- Normalization: The branching fraction is measured relative to the topologically similar normalization mode B+→J/ψΛp (with J/ψ→μ+μ−), which shares the same final-state particles and reconstruction categories.
- Analysis Strategy: A simultaneous extended unbinned maximum-likelihood fit is performed on the invariant mass distributions m(Λpμ+μ−) for both the signal and normalization modes. The analysis is split into two regions of the Λp invariant mass (m(Λp)): a low-mass region (m(Λp)<2.8 GeV/c2) where threshold enhancement is expected, and a high-mass region (m(Λp)>2.8 GeV/c2).
- Systematics: Uncertainties are evaluated regarding fit models (signal and background shapes), reconstruction efficiencies (tracking, PID, trigger), kinematic corrections between simulation and data, and external inputs for the normalization branching fraction.
Key Results
- Low m(Λp) Region: An excess of events is observed over the background-only expectation. The simultaneous fit yields a signal count of Nlow=15.5−5.1+5.9. The statistical significance is 3.7σ, which reduces to 3.5σ when systematic uncertainties are included. This constitutes evidence for the decay in this region.
- The measured partial branching fraction is:
Blow(B+→Λpμ+μ−)=(1.70−0.56+0.65(stat)±0.17(syst)±0.14(ext))×10−8 - The ratio relative to the normalization mode is 1.95−0.64+0.75(stat)±0.20(syst)%.
- The measured partial branching fraction is:
- High m(Λp) Region: No significant signal is observed in the region m(Λp)>2.8 GeV/c2. The fit converges to a negative central value. An upper limit is set using the CLs method:
- Bhigh(B+→Λpμ+μ−)<2.8×10−9 at 90% confidence level (CL).
- Bhigh(B+→Λpμ+μ−)<3.7×10−9 at 95% CL.
- Total Branching Fraction: Integrating over the full available m(Λp) region, the total branching fraction is measured as:
B(B+→Λpμ+μ−)=(1.53−0.60+0.69(stat)±0.16(syst)±0.13(ext))×10−8
Significance and Claims
The paper claims the first search for a semileptonic b→sμ+μ− decay with a baryon-antibaryon pair in the final state. The observation of a 3.5σ excess in the low m(Λp) region provides evidence for the decay and hints at the manifestation of the threshold enhancement mechanism in a b→sℓ+ℓ− decay.
The measured branching fraction is lower than the earlier theoretical prediction of ∼10−7 [10] but remains compatible within 2σ. The authors state that these measurements provide essential constraints for understanding baryonic form factors in B-meson decays into light baryon pairs. The results are expected to motivate more detailed theoretical and experimental studies of the rich dynamics in this channel, though the paper does not claim a discovery of New Physics or a definitive confirmation of specific NP models.
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