On the Edge of Safety: Charge-Charge Correlation in the Back-to-Back Limit
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arXiv
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| Format: | Preprint |
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2025
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| author | Monni, Pier Francesco Vita, Gherardo Xu, Zhen Zhu, Hua Xing |
| author_facet | Monni, Pier Francesco Vita, Gherardo Xu, Zhen Zhu, Hua Xing |
| contents | We investigate the Charge-Charge Correlation (QQC) in electron-positron annihilation as a probe of charge dynamics in Quantum Chromodynamics. While generally divergent beyond leading order, we show that the QQC is infrared and collinear safe in the back-to-back limit, a property that we dub leading-power safety. This enables an analytic perturbative treatment that bypasses the reliance on non-perturbative track or fragmentation functions. Using Soft-Collinear Effective Field Theory, we derive a factorization theorem and determine its logarithmic behavior analytically up to four loops in QCD, uncovering remarkable connections with the Energy-Energy Correlation (EEC). Prior to this work, the behavior of the QQC beyond leading order was entirely unknown; we now establish its resummation to next-to-next-to-next-to-next-to-leading logarithmic (N$^4$LL) accuracy, placing it among the observables with the highest perturbative precision alongside the EEC. Our results are validated through a numerical analysis using Event2, exhibiting excellent agreement with the predicted singular terms. This work establishes the QQC as a novel, calculable probe of charge dynamics and unveils a new window into the inner workings of non-Abelian gauge theories. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2508_00977 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the Edge of Safety: Charge-Charge Correlation in the Back-to-Back Limit Monni, Pier Francesco Vita, Gherardo Xu, Zhen Zhu, Hua Xing High Energy Physics - Phenomenology High Energy Physics - Experiment High Energy Physics - Theory We investigate the Charge-Charge Correlation (QQC) in electron-positron annihilation as a probe of charge dynamics in Quantum Chromodynamics. While generally divergent beyond leading order, we show that the QQC is infrared and collinear safe in the back-to-back limit, a property that we dub leading-power safety. This enables an analytic perturbative treatment that bypasses the reliance on non-perturbative track or fragmentation functions. Using Soft-Collinear Effective Field Theory, we derive a factorization theorem and determine its logarithmic behavior analytically up to four loops in QCD, uncovering remarkable connections with the Energy-Energy Correlation (EEC). Prior to this work, the behavior of the QQC beyond leading order was entirely unknown; we now establish its resummation to next-to-next-to-next-to-next-to-leading logarithmic (N$^4$LL) accuracy, placing it among the observables with the highest perturbative precision alongside the EEC. Our results are validated through a numerical analysis using Event2, exhibiting excellent agreement with the predicted singular terms. This work establishes the QQC as a novel, calculable probe of charge dynamics and unveils a new window into the inner workings of non-Abelian gauge theories. |
| title | On the Edge of Safety: Charge-Charge Correlation in the Back-to-Back Limit |
| topic | High Energy Physics - Phenomenology High Energy Physics - Experiment High Energy Physics - Theory |
| url | https://arxiv.org/abs/2508.00977 |