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Search for the Higgs boson

The search for the Higgs boson was a 40-year effort by physicists to prove the existence or non-existence of the Higgs boson, first theorised in the 1960s. The Higgs boson was the last unobserved fundamental particle in the Standard Model of particle physics, and its discovery was described as being the "ultimate verification" of the Standard Model. In March 2013, the Higgs boson was officially confirmed to exist.

Background
The Higgs boson The Higgs boson, sometimes called the Higgs particle, is an elementary particle in the Standard Model of particle physics produced by the quantum excitation of the Higgs field, one of the fields in particle physics theory. Experimental techniques included examination of a wide range of possible masses (often quoted in GeV) in order to gradually narrow down the search area and rule out possible masses where the Higgs was unlikely, statistical analysis, and operation of multiple experiments and teams in order to see if the results from all were in agreement. ==Experimental search and discovery of unknown boson==
Experimental search and discovery of unknown boson
Early limits During the early 1970s there were only few constraints on the existence of the Higgs boson. The limits that did exist came from the absence of the observation of Higgs related effects in nuclear physics, neutron stars, and neutron scattering experiments. This resulted in the conclusion that the Higgs—if it existed—was heavier than . Thereafter the search for the Higgs boson became firmly established within the LEP program. But in the end the data was inconclusive and insufficient to justify another run after the winter break and the difficult decision was made to shut down and dismantle LEP to make room for the new Large Hadron Collider in November 2000. The inconclusive results of the direct search for the Higgs boson at LEP resulted in a final lower bound of the Higgs mass at the 95% confidence level. In parallel to the direct search program, LEP made precision measurements of many observables of the weak interactions. These observables are sensitive to the value of the Higgs mass through contributions of processes containing loops of virtual Higgs bosons. This allowed for the first time a direct estimate of the Higgs mass of about . The Superconducting Super Collider was to accelerate protons in an underground circular tunnel just outside Dallas, Texas to energies of each. One of the primary goals of this megaproject was finding the Higgs boson. On 22 December 2011, the DØ collaboration also reported limitations on the Higgs boson within the Minimal Supersymmetric Standard Model, an extension to the Standard Model. Proton-antiproton (p) collisions with a centre-of-mass energy of 1.96 TeV had allowed them to set an upper limit for Higgs boson production within MSSM ranging from 90 to 300 GeV, and excluding  > 20–30 for masses of the Higgs boson below 180 GeV ( is the ratio of the two Higgs doublet vacuum expectation values). following a magnet quench event nine days after its inaugural tests that damaged over 50 superconducting magnets and contaminated the vacuum system. The quench was traced to a faulty electrical connection and repairs took several months; electrical fault detection and rapid quench-handling systems were also upgraded. Data collection and analysis in search of Higgs intensified from 30 March 2010 when the LHC began operating at 7 Tev . Preliminary results from the ATLAS and CMS experiments at the LHC as of July 2011 excluded a Standard Model Higgs boson in the mass range 155- and 149-, respectively, at 95% CL. All of the above confidence intervals were derived using the CLs method. As of December 2011 the search had narrowed to the approximate region to 115–130 GeV, with a specific focus around 125 GeV, where both the ATLAS and CMS experiments had independently reported an excess of events, meaning that a higher than expected number of particle patterns compatible with the decay of a Higgs boson were detected in this energy range. The data was insufficient to show whether or not these excesses were due to background fluctuations (i.e. random chance or other causes), and its statistical significance was not large enough to draw conclusions yet or even formally to count as an "observation", but the fact that two independent experiments had both shown excesses at around the same mass led to considerable excitement in the particle physics community. At the end of December 2011, it was therefore widely expected that the LHC would provide sufficient data to either exclude or confirm the existence of the Standard Model Higgs boson by the end of 2012, when their 2012 collision data (at energies of 8 TeV) had been examined. Updates from the two LHC teams continued during the first part of 2012, with the tentative December 2011 data largely being confirmed and developed further. On the same date, the DØ and CDF collaborations announced further analysis that increased their confidence. The significance of the excesses at energies between 115 and 140 GeV was now quantified as 2.9 standard deviations, corresponding to a 1 in 550 probability of being due to a statistical fluctuation. However, this still fell short of the 5 sigma confidence, therefore the results of the LHC experiments were necessary to establish a discovery. They excluded Higgs mass ranges at 100–103 and 147–180 GeV. Discovery of new boson On 22 June 2012 CERN announced an upcoming seminar covering tentative findings for 2012, and shortly afterwards rumours began to spread in the media that this would include a major announcement, but it was unclear whether this would be a stronger signal or a formal discovery. Speculation escalated to a "fevered" pitch when reports emerged that Peter Higgs, who proposed the particle, was to be attending the seminar. On 4 July 2012 CMS announced the discovery of a previously unknown boson with mass 125.3 ± 0.6 GeV/c2 and ATLAS of a boson with mass 126.5 GeV/c2. Using the combined analysis of two decay modes (known as 'channels'), both experiments reached a local significance of 5 sigma — or less than a 1 in one million chance of a statistical fluctuation being that strong. When additional channels were taken into account, the CMS significance was 4.9 sigma. On July 31, the ATLAS collaboration presented further data analysis, including a third channel. They improved the significance to 5.9 sigma, and described it as an "observation of a new particle" with mass . Also CMS improved the significance to 5 sigma with the boson's mass at . On 14 March 2013 CERN confirmed that: : "CMS and ATLAS have compared a number of options for the spin-parity of this particle, and these all prefer no spin and even parity [two fundamental criteria of a Higgs boson consistent with the Standard Model]. This, coupled with the measured interactions of the new particle with other particles, strongly indicates that it is a Higgs boson." ==Events in 2012==
Events in 2012
2012 (post-discovery) In 2012, observations were considered consistent with the observed particle being the Standard Model Higgs boson. The particle decays into at least some of the predicted channels. Moreover, the production rates and branching ratios for the observed channels match the predictions by the Standard Model within the experimental uncertainties. However, the experimental uncertainties still left room for alternative explanations. It was therefore considered too early to conclude that the found particle was indeed the Standard Model Higgs boson. Further confirmation required more precise data on some of the characteristic of the new particle, including its other decay channels and various quantum numbers such as its parity. To allow for further data gathering, the LHC proton-proton collision run had been extended by seven weeks, postponing the planned long shutdown for upgrades in 2013. Physicist Matt Strassler highlighted "considerable" evidence that the new particle is not a pseudoscalar negative parity particle (a required finding for a Higgs boson), "evaporation" or lack of increased significance for previous hints of non-Standard Model findings, expected Standard Model interactions with W and Z bosons, absence of "significant new implications" for or against supersymmetry, and in general no significant deviations to date from the results expected of a Standard Model Higgs boson. However some kinds of extensions to the Standard Model would also show very similar results; based on other particles that are still being understood long after their discovery, it could take many years to know for sure, and decades to understand the particle that has been found. Forbes, Slate, NPR, and others announced incorrectly that the existence of the Higgs boson had been confirmed. Numerous statements by the discoverers at CERN and other experts since July 2012 had reiterated that a particle was discovered but it was not yet confirmed to be a Higgs boson. It was only in March 2013 that it was announced officially. This was followed by the making of a documentary film about the hunt. ==Timeline of experimental evidence==
Timeline of experimental evidence
: All results refer to the Standard Model Higgs boson, unless otherwise stated. • 2000–2004 – using data collected before 2000, in 2003–2004 Large Electron–Positron Collider experiments published papers which set a lower bound for the Higgs boson of at the 95% confidence level (CL), with a small number of events around 115 GeV. • 24 April 2011 – media reports "rumors" of a find; these were debunked by May 2011. They had not been a hoax, but were based on unofficial, unreviewed results. • 24 July 2011 – the LHC reported possible signs of the particle, the ATLAS Note concluding: "In the low mass range (c. 120–140 GeV) an excess of events with a significance of approximately 2.8 sigma above the background expectation is observed" and the BBC reporting that "interesting particle events at a mass of between 140 and 145 GeV" were found. These findings were repeated shortly thereafter by researchers at the Tevatron with a spokesman stating that: "There are some intriguing things going on around a mass of 140GeV." • 23–24 July 2011 – Preliminary LHC results exclude the ranges 155– (ATLAS) • 18 November 2011 – a combined analysis of ATLAS and CMS data further narrowed the window for the allowed values of the Higgs boson mass to 114–141 GeV. • 13 December 2011 – experimental results were announced from the ATLAS and CMS experiments, indicating that if the Higgs boson exists, its mass is limited to the range 116–130 GeV (ATLAS) or 115–127 GeV (CMS), with other masses excluded at 95% CL. Observed excesses of events at around 124 GeV (CMS) and 125–126 GeV (ATLAS) are consistent with the presence of a Higgs boson signal, but also consistent with fluctuations in the background. The global statistical significances of the excesses are 1.9 sigma (CMS) and 2.6 sigma (ATLAS) after correction for the look elsewhere effect. • 7 March 2012 – the DØ and CDF collaborations announced that they found excesses that might be interpreted as coming from a Higgs boson with a mass in the region of 115 to in the full sample of data from Tevatron. The significance of the excesses is quantified as 2.2 standard deviations, corresponding to a 1 in 250 probability of being due to a statistical fluctuation. This is a lower significance, but consistent with and independent of the ATLAS and CMS data at the LHC. This new result also extends the range of Higgs-mass values excluded by the Tevatron experiments at 95% CL, which becomes 147-. • 2 July 2012 – the ATLAS collaboration further analysed their 2011 data, excluding Higgs mass ranges of 111.4 GeV to 116.6 GeV, 119.4 GeV to 122.1 GeV, and 129.2 GeV to 541 GeV. Higgs bosons are probably located at 126 GeV with significance of 2.9 sigma. On the same day, the DØ and CDF collaborations also announced further analysis, increasing their confidence that the data between 115 and 140 GeV is corresponding to a Higgs boson to 2.9 sigma, excluding mass ranges at 100–103 and 147–180 GeV. • 4 July 2012 – the CMS collaboration announced the discovery of a boson with mass within 4.9 σ (sigma) (up to 5 sigma depending on the analysed channel), and the ATLAS collaboration a boson with mass of ~126.5 GeV/c2. • 31 July 2012  – the ATLAS collaboration further improved their analysis and announced the discovery of a boson with mass . Also CMS improved the significance to 5 sigma with the boson's mass at . ==Statistical analysis==
Statistical analysis
In 2012, the "5-sigma" criterion required by the scientists at the LHC, and its underlying frequentist interpretation of probability, triggered the interest of some statisticians, especially Bayesians: "five standard deviations, assuming normality, means a p-value of around 0.0000005 [...] Are the particle physics community completely wedded to frequentist analysis?". However, the research at LHC being already too advanced, the discussion didn't seem to have led to a Bayesian re-analysis of the data. ==Notes==
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