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SUMMARY:Rotated twisted-mass: a convenient regularization scheme for isosp
in breaking QCD and QED lattice calculations
DTSTART;VALUE=DATE-TIME:20220110T120000Z
DTEND;VALUE=DATE-TIME:20220110T130000Z
DTSTAMP;VALUE=DATE-TIME:20220122T090612Z
UID:indico-event-31640@indico.desy.de
DESCRIPTION:The evaluation of isospin breaking effects in hadronic observa
bles has become an important goal of Lattice QCD and QED calculations in f
lavor physics. One of the common approaches to evaluate such effects throu
gh Lattice simulations is the so-called RM123 method\, in which the path-i
ntegral is expanded around the isospin symmetric point in powers of the sm
all parameters $\\alpha_{em} \\sim (m_{d}-m_{u})/\\Lambda_{QCD} \\sim \\ma
thcal{O}(10^{-2})$. However\, evaluating the quark-line disconnected contr
ibutions that appear in the RM123 expansion of several observables of inte
rest is challenging\, as in many cases they are found to be affected by la
rge statistical fluctuations. In this talk\, I will discuss a new scheme f
or twisted-mass\nregularization of lattice QCD\, the rotated twisted-mass
(RTM) scheme\, tailored to reduce\, compared to standard twisted mass QCD\
, the statistical noise on some disconnected diagrams. Two numerical appli
cations will be presented: the evaluation of the charged/neutral pion mass
difference at order $\\mathcal{O}(\\alpha_{em})$\, and the determination
of the $\\rm{SU}(2)$ chiral perturbation theory low-energy constant $\\ell
_{7}$.\n\nhttps://indico.desy.de/event/31640/
LOCATION:Zoom
URL:https://indico.desy.de/event/31640/
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