Existe uma nova física além do modelo padrão da física de partículas? Nossa descoberta ajudará a resolver a questão
Apesar de seu tremendo sucesso em prever a existência de novas partículas e forças, o modelo padrão da física de partículas , projetado há mais de 50 anos para explicar os menores blocos de construção da natureza, não é a 'teoria de tudo'...
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)
Experimento Muon g2. Crédito: Fermilab
Apesar de seu tremendo sucesso em prever a existência de novas partículas e forças, o modelo padrão da física de partículas , projetado há mais de 50 anos para explicar os menores blocos de construção da natureza, não é a "teoria de tudo" completa que os físicos esperavam. .
A teoria tem vários problemas. Não descreve a gravidade nem os componentes desconhecidos que compõem a maior parte da densidade de energia no universo: matéria escura e energia escura. Os físicos de partículas estão, portanto, em uma caça ao tesouro em busca de qualquer possível desvio do comportamento "esperado" que possa sugerir uma nova física.
Agora, nossa grande equipe internacional de físicos trabalhando no experimento Muon g-2 no Fermilab nos EUA, fez uma medição de como uma certa partícula fundamental oscila que pode ter impactos maciços no status do modelo padrão .
Nosso resultado, que ainda não foi revisado por pares, mas foi submetido à Physical Review Letters , confirma os resultados de 2021 e lança luz sobre um enorme quebra-cabeça na física teórica – para o qual uma solução possível poderia ser novas partículas ou forças influenciando a medição.
Um bloco de construção fundamental no modelo padrão é o múon , uma partícula semelhante a um elétron, mas 200 vezes mais massiva. O múon tem uma longa história de revolução na física de partículas – até mesmo sua descoberta foi um choque .
Nosso experimento estuda como essas partículas interagem com um campo magnético de 1,45 Tesla. Isso faz com que os múons oscilem como piões, com a taxa de oscilação proporcional à força do campo.
O experimento produz e armazena bilhões de múons em um ímã circular de 14 metros de diâmetro chamado anel de armazenamento. Eventualmente, os múons decaem para elétrons, que são contados por detectores no interior do anel.
Outra peculiaridade da natureza significa que o número de elétrons detectados varia proporcionalmente à taxa da oscilação. Portanto, contar elétrons nos diz a taxa de oscilação dos múons. E quanto mais elétrons você contar, mais precisa será a medição.
A interação entre a oscilação do múon e o campo é quantificada por uma constante adimensional chamada "g", a razão giromagnética. O físico Paul Dirac previu que seu valor seria g = 2. Mas de acordo com a mecânica quântica , a teoria que rege o mundo subatômico em que o modelo padrão se baseia é que o espaço vazio é preenchido com partículas "virtuais", que aparecem por um momento fugaz. e depois desaparecer novamente por aniquilação.
Essas partículas afetam a interação do múon com o campo magnético, aumentando g para pouco mais de 2. É por isso que o experimento, que estuda essa diferença, é chamado de "g-2". Quaisquer peças faltantes no modelo padrão modificariam a taxa em um valor ligeiramente maior ou menor do que o previsto, tornando-o uma poderosa ferramenta de pesquisa para novas físicas.
Uma medição no Brookhaven National Laboratory, nos Estados Unidos, causou sensação em 2004 , depois de descobrir que a oscilação era um pouco mais rápida do que o esperado, sugerindo potencialmente algo novo. O valor foi medido novamente no Fermilab em abril de 2021, confirmando a medição original e aumentando o tamanho da lacuna entre o experimento e a teoria.
Agora, nosso novo resultado do Fermilab, usando dados coletados em 2019 e 2020, examina quatro vezes mais múons do que o resultado de 2021, reduzindo a incerteza total em um fator de dois. Isso torna a medição a determinação mais precisa da oscilação do múon já feita.
Aumente a precisão
Na prática, o experimento é muito mais desafiador do que simplesmente contar múons. Embora a incerteza estatística tenha sido reduzida, outras melhorias foram necessárias para tornar a medição ainda mais precisa. A direção do campo magnético determina o eixo da oscilação, portanto, manter as flutuações de temperatura do ímã sob controle era crucial.
As diferenças de temperatura também fazem com que as peças do ímã se expandam e se contraiam, o que altera ligeiramente o campo magnético. Em nosso nível de precisão, mesmo uma alteração de um milésimo de milímetro poderia ter um efeito enorme na oscilação. Para isso, foi instalado um revestimento térmico ao redor do ringue e um sistema de refrigeração na sala experimental.
Outro desafio é o fato de que os múons no anel não querem ficar em uma órbita perfeitamente circular – ao contrário, eles gostam de nadar e explorar todas as regiões do anel. Portanto, atualizamos os sistemas de alta tensão que empurram o feixe para o lugar certo.
Convencionalmente, os físicos de partículas estimam quão bem dois resultados (por exemplo, um teórico e um experimental) concordam usando uma medida estatística chamada sigma. Isso pode estimar as chances de qualquer diferença ser um acaso estatístico. No entanto, isso não faz sentido desta vez, porque está ficando cada vez mais incerto com qual previsão de modelo padrão devemos comparar o resultado.
Uma colaboração de teóricos, chamada Muon g-2 Theory Initiative , calculou seu valor em 2020. Foi o que foi usado em 2021, dando um sigma de 4,2, o que sugeria que a chance de o resultado ter sido um acaso era de uma em 40.000. Mas, desde então, houve desenvolvimentos que renderam novas previsões: uma de uma nova abordagem de outro grupo de teóricos .
Também houve uma medição experimental atualizada da colaboração CMD-3 na Rússia que alimentará qualquer novo cálculo. Isso pode modificar o valor de 2020, potencialmente aproximando-os do modelo padrão.
É evidente que existem enormes desafios em ambos os lados da história, onde a teoria nem sequer concorda com a teoria. Nossa colaboração agora está trabalhando em direção ao nosso resultado experimental final, esperado para 2025, usando todo o conjunto de dados – mais do que o dobro de dados. Mas até que a controvérsia da teoria seja resolvida, haverá uma nuvem de dúvida pairando sobre qualquer interpretação da discrepância.
Existem dois resultados possíveis. A teoria e o experimento podem eventualmente não concordar, significando que novas partículas ou forças da natureza estiveram escondidas aqui o tempo todo. Isso pode significar que o modelo padrão acaba falhando - precisando de uma atualização. Ou as previsões atualizadas fecham a lacuna, o que seria um grande impulso para o modelo padrão .
De qualquer forma, nossa medição ultraprecisa prepara o palco para o confronto final.
Informações do periódico: cartas de revisão física