First-principle evaluation of inclusive hadronic $τ$ decays in QCD+QED
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arXiv
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| Autori principali: | , , , , , , , , , , , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866912990134009856 |
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| author | Di Carlo, Matteo Bacchio, Simone Bäske, Erik De Santis, Alessandro Evangelista, Antonio Frezzotti, Roberto Gagliardi, Giuseppe Holan, Lukas Lubicz, Vittorio Maio, Lorenzo Margari, Francesca Patella, Agostino Sanfilippo, Francesco Simula, Silvano Tantalo, Nazario |
| author_facet | Di Carlo, Matteo Bacchio, Simone Bäske, Erik De Santis, Alessandro Evangelista, Antonio Frezzotti, Roberto Gagliardi, Giuseppe Holan, Lukas Lubicz, Vittorio Maio, Lorenzo Margari, Francesca Patella, Agostino Sanfilippo, Francesco Simula, Silvano Tantalo, Nazario |
| contents | We present a strategy to extend lattice calculations of inclusive hadronic $τ$ decays from isosymmetric QCD to QCD+QED. The inclusive decay rate can be related to suitable Euclidean correlation functions, allowing for a first-principles evaluation of electromagnetic and isospin-breaking effects. Within the RM123 framework, radiative corrections are decomposed into leptonic, factorizable and non-factorizable contributions. We report preliminary results for the leptonic and factorizable terms in the electro-quenched approximation and discuss the remaining steps towards a complete calculation. This programme aims at a first-principles determination of inclusive $τ$ decay rates with direct implications for the extraction of the CKM matrix element $|V_{us}|$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_29016 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | First-principle evaluation of inclusive hadronic $τ$ decays in QCD+QED Di Carlo, Matteo Bacchio, Simone Bäske, Erik De Santis, Alessandro Evangelista, Antonio Frezzotti, Roberto Gagliardi, Giuseppe Holan, Lukas Lubicz, Vittorio Maio, Lorenzo Margari, Francesca Patella, Agostino Sanfilippo, Francesco Simula, Silvano Tantalo, Nazario High Energy Physics - Lattice We present a strategy to extend lattice calculations of inclusive hadronic $τ$ decays from isosymmetric QCD to QCD+QED. The inclusive decay rate can be related to suitable Euclidean correlation functions, allowing for a first-principles evaluation of electromagnetic and isospin-breaking effects. Within the RM123 framework, radiative corrections are decomposed into leptonic, factorizable and non-factorizable contributions. We report preliminary results for the leptonic and factorizable terms in the electro-quenched approximation and discuss the remaining steps towards a complete calculation. This programme aims at a first-principles determination of inclusive $τ$ decay rates with direct implications for the extraction of the CKM matrix element $|V_{us}|$. |
| title | First-principle evaluation of inclusive hadronic $τ$ decays in QCD+QED |
| topic | High Energy Physics - Lattice |
| url | https://arxiv.org/abs/2603.29016 |