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- W124461008 abstract "We compute the isospin asymmetries in $Bensuremath{rightarrow}({K}^{*},ensuremath{rho})ensuremath{gamma}$ and $Bensuremath{rightarrow}(K,{K}^{*},ensuremath{rho}){l}^{+}{l}^{ensuremath{-}}$ for low lepton pair invariant mass ${q}^{2}$, within the Standard Model (SM) and beyond the SM in a generic dimension six operator basis. Within the SM the $CP$-averaged isospin asymmetries for $Bensuremath{rightarrow}(K,{K}^{*},ensuremath{rho})ll$, between $1text{ }text{ }{mathrm{GeV}}^{2}ensuremath{le}{q}^{2}ensuremath{le}4{m}_{c}^{2}$, are predicted to be small (below 1.5%) though with significant cancellation. In the SM the non-$CP$-averaged asymmetries for $Bensuremath{rightarrow}ensuremath{rho}ll$ deviate by $ensuremath{approx}ifmmodepmelsetextpmfi{}5%$ from the $CP$-averaged ones. We provide physical arguments, based on resonances, of why isospin asymmetries have to decrease for large ${q}^{2}$ (towards the endpoint). Two types of isospin violating effects are computed: ultraviolet isospin violation due to differences between operators coupling to up and down quarks, and infrared isospin violation where a photon is emitted from the spectator quark and is hence proportional to the difference between the up- and down-quark charges. These isospin violating processes may be subdivided into weak annihilation (WA), quark loop spectator scattering, and a chromomagnetic contribution. Furthermore we discuss generic selection rules based on parity and angular momentum for the $Bensuremath{rightarrow}Kll$ transition as well as specific selection rules valid for WA at leading order in the strong coupling constant. We clarify that the relation between the $K$ and the longitudinal part of the ${K}^{*}$ only holds for leading twist and for left-handed currents. In general the $Bensuremath{rightarrow}ensuremath{rho}ll$ and $Bensuremath{rightarrow}{K}^{*}ll$ isospin asymmetries are structurally different yet the closeness of ${ensuremath{alpha}}_{mathrm{CKM}}$ to $90ifmmode^circelsetextdegreefi{}$ allows us to construct a (quasi)null test for the SM out of the respective isospin symmetries. We provide and discuss an update on $mathcal{B}({B}^{0}ensuremath{rightarrow}{K}^{*0}ensuremath{gamma})/mathcal{B}({B}_{s}ensuremath{rightarrow}ensuremath{phi}ensuremath{gamma})$ which is sensitive to WA." @default.
- W124461008 created "2016-06-24" @default.
- W124461008 creator A5005417765 @default.
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- W124461008 date "2013-11-11" @default.
- W124461008 modified "2023-10-14" @default.
- W124461008 title "Isospin asymmetries in<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:mi>B</mml:mi><mml:mo>→</mml:mo><mml:mo mathvariant=bold stretchy=false>(</mml:mo><mml:msup><mml:mi>K</mml:mi><mml:mo>*</mml:mo></mml:msup><mml:mo>,</mml:mo><mml:mi>ρ</mml:mi><mml:mo mathvariant=bold stretchy=false>)</mml:mo><mml:mi>γ</mml:mi><mml:mo>/</mml:mo><mml:msup><mml:mi>l</mml:mi><mml:mo mathvariant=bold>+</mml:mo></mml:msup><mml:msup><mml:mi>l</mml:mi><mml:mo mathvariant=bold…" @default.
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- W124461008 doi "https://doi.org/10.1103/physrevd.88.094004" @default.
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