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SUMMARY:Radiative corrections to pion $\\beta$ decay and $\\tau\\rightarro
 w\\pi\\pi\\nu$: an effective field theory approach
DTSTART;VALUE=DATE-TIME:20260709T100000Z
DTEND;VALUE=DATE-TIME:20260709T110000Z
DTSTAMP;VALUE=DATE-TIME:20260702T055558Z
UID:indico-event-8682@indico.ific.uv.es
DESCRIPTION:Semi-leptonic processes involving pions are used to test the S
 tandard Model with high precision. On the theory side\, the evaluation of 
 radiative corrections is a crucial ingredient for a robust comparison betw
 een theoretical predictions and experimental measurements. In this talk\, 
 I will present the first complete effective field theory treatment of radi
 ative corrections in pion $\\beta$ decay ($\\pi^{\\pm} \\rightarrow \\pi^0
  \\\, e \\\, \\nu_{e}$) and $\\tau^{\\pm} \\rightarrow  \\pi^{\\pm} \\\, 
 \\pi^{0} \\\, \\nu_{\\tau}$ beyond leading-logarithmic accuracy within the
  Standard Model. \nAs main applications\, I will first show how the theor
 etical uncertainty for the SM prediction of $V_{ud}$ based on pion  $\\be
 ta$ decay is reduced by a factor of three\, making it negligible even beyo
 nd the reach of future experiments. Second\, I will present an evaluation 
 of isospin-breaking corrections to $\\tau \\rightarrow \\pi \\pi \\nu_{\\t
 au}$\, which are an essential ingredient for a future $\\tau$-based determ
 ination of the hadronic-vacuum-polarization contribution to the anomalous 
 magnetic moment of the muon.\n\nhttps://indico.ific.uv.es/event/8682/
LOCATION:Universe 1001-Primera-1-1-1 - Paterna. Seminario
URL:https://indico.ific.uv.es/event/8682/
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